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How to solve 1 + 1/2 + 1/3 + ?= 12

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The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question How to solve 1 + 1/2 + 1/3 + ?= 12, read and understand it carefully till the end.

Let us know how to solve this question How to solve 1 + 1/2 + 1/3 + ?= 12.

First write the question on the page of the notebook.

How to solve 1 + 1/2 + 1/3 + ?= 12

To solve this question, we will write this question in the simplest form as follows and simplify it;

\displaystyle 1+\frac{1}{2}+\frac{1}{3}+?=12\text{ }

Let’s ? = x . then ,

\displaystyle 1+\frac{{1\times 3}}{{2\times 3}}+\frac{{1\times 2}}{{3\times 2}}+x=12\text{ }

\displaystyle 1+\frac{3}{6}+\frac{2}{6}+x=12\text{ }

\displaystyle 1+\frac{{3+2}}{6}+x=12\text{ }

\displaystyle 1+\frac{5}{6}+x=12\text{ }

\displaystyle \frac{{1\times 6+5}}{6}+x=12\text{ }

\displaystyle \frac{{6+5}}{6}+x=12\text{ }

\displaystyle \frac{{11}}{6}+x=12\text{ }

\displaystyle x=12\text{-}\frac{{11}}{6}

\displaystyle x=\frac{{12\times 6-11}}{6}

\displaystyle x=\frac{{72-11}}{6}

\displaystyle x=\frac{{61}}{6}

so,

x = ? = \displaystyle \frac{{61}}{6} [Answer]

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How to solve, how many 3/4 in 1/4 ?

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Welcome to my article how many 3/4 in 1/4 ?

This article is taken from the simplification lesson, in this article we have been told how to solve the problem easily by doing addition, subtraction, multiplication, division and fractionation.or complete information on how to solve this how many 3/4 in 1/4 ? read and understand it carefully.

Let us read / understand about this article how many 3/4 in 1/4 ?

First of all we should write the article on the page.

how many 3/4 in 1/4 ?

1/4 how many 3/4 are there ,

that is

how many 3/4 together will make 1/4

let, x

3/4 together complete 1/4

then,

\displaystyle x+\frac{3}{4}=\frac{1}{4}

\displaystyle \frac{x}{1}+\frac{3}{4}=\frac{1}{4}

Since the LCM of 1 and 4 will be 4.

\displaystyle \frac{{4x+3}}{4}=\frac{1}{4}

now multiply diagonally,

\displaystyle (4x+3)=4\times 1

\displaystyle (4x+3)=4

\displaystyle 4x+3=4

\displaystyle 4x=4-3

\displaystyle x=\frac{1}{4}

\displaystyle x=\frac{1}{4}Answer

how many 3/4 in 1/4 ?

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How to solve 5/2+7/2+(0.5)^2+4=x

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Welcome to my article How to solve 5/2+7/2+(0.5)^2+4=xThis question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question How to solve 5/2+7/2+(0.5)^2+4=x, read and understand it carefully till the end.

Let us know how to solve this question How to solve 5/2+7/2+(0.5)^2+4=x

First write the question on the page of the notebook.

How to solve 5/2+7/2+(0.5)^2+4=x

Let us first write this question in this way,

\displaystyle \frac{5}{2}+\frac{7}{2}+{{\left( {\frac{5}{{10}}} \right)}^{2}}+4=x

\displaystyle \frac{{5+7}}{2}+{{\left( {\frac{5}{{10}}} \right)}^{2}}+4=x

\displaystyle \frac{{12}}{2}+{{\left( {\frac{5}{{10}}} \right)}^{2}}+4=x

\displaystyle 6+{{\left( {\frac{5}{{10}}} \right)}^{2}}+4=x

\displaystyle 10+{{\left( {\frac{5}{{10}}} \right)}^{2}}=x

\displaystyle 10+\frac{{25}}{{100}}=x

\displaystyle 10+\frac{1}{4}=x

\displaystyle \frac{{10\times 4+1}}{4}=x

\displaystyle \frac{{41}}{4}=x

0r,

\displaystyle x=\frac{{41}}{4}

x= 10.25 [Answer]

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How to solve 12(4-2)+1/2-5/6=x+2

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Welcome to my article How to solve 12(4-2)+1/2-5/6=x+2. This question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question How to solve 12(4-2)+1/2-5/6=x+2, read and understand it carefully till the end.

Let us know how to solve this question How to solve 12(4-2)+1/2-5/6=x+2.

First write the question on the page of the notebook.

How to solve 12(4-2)+1/2-5/6=x+2

Let us first write this question in this way,

\displaystyle 12\left( {4-2} \right)+\frac{1}{2}-\frac{5}{6}=x+2

\displaystyle 12\left( 2 \right)+\frac{1}{2}-\frac{5}{6}=x+2

\displaystyle 24+\frac{1}{2}-\frac{5}{6}=x+2

\displaystyle \frac{{24}}{1}+\frac{1}{2}-\frac{5}{6}-2=x

\displaystyle \frac{{24\times 2}}{{1\times 2}}+\frac{1}{2}-\frac{5}{6}-2=x

\displaystyle \frac{{48}}{2}+\frac{1}{2}-\frac{5}{6}-2=x

\displaystyle \frac{{48+1}}{2}-\frac{5}{6}-\frac{2}{1}=x

\displaystyle \frac{{49}}{2}-\frac{5}{6}-\frac{2}{1}=x

\displaystyle \frac{{49\times 3}}{{2\times 3}}-\frac{5}{6}-\frac{{2\times 6}}{{1\times 6}}=x

\displaystyle \frac{{147}}{6}-\frac{5}{6}-\frac{{12}}{6}=x

\displaystyle \frac{{147-5-12}}{6}=x

\displaystyle \frac{{147-17}}{6}=x

\displaystyle \frac{{130}}{6}=x

or

x=21.666666..

x=21.67 [Answer]

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Fraction to Decimal: 1/4

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Welcome to my article Fraction to Decimal: 1/4. This question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question Fraction to Decimal: 1/4 read and understand it carefully till the end.

Let us know how to solve this question Fraction to Decimal: 1/4.

First write the question on the page of the notebook.

Fraction to Decimal: 1/4

Before solving this question, we will write in this way,

\displaystyle \frac{1}{4}

then,

so that ,

1/4 = 0.25 [Answer]

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How to solve 12(8-2)+12/2-42/6=4x+2

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How to solve 12(8-2)+12/2-42/6=4x+2
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Welcome to my article How to solve 12(8-2)+12/2-42/6=4x+2. This question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question How to solve 12(8-2)+12/2-42/6=4x+2, read and understand it carefully till the end.

Let us know how to solve this question How to solve 12(8-2)+12/2-42/6=4x+2.

First write the question on the page of the notebook.

How to solve 12(8-2)+12/2-42/6=4x+2

Let us first write this question in this way,

\displaystyle 12\left( 6 \right)+\frac{{12}}{2}-\frac{{42}}{6}=4x+2

\displaystyle 72+\frac{{12}}{2}-\frac{{42}}{6}=4x+2

\displaystyle 72+6-7=4x+2

\displaystyle 72+6-7-2=4x

\displaystyle 78-9=4x

\displaystyle 69=4x

or

\displaystyle 4x=69

\displaystyle x=\frac{{69}}{4}

x=17.25 [Answer]

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This article How to solve 12(8-2)+12/2-42/6=4x+2 has been completely solved by tireless effort from our side, still if any error remains in it then definitely write us your opinion in the comment box. If you like or understand the methods of solving all the questions in this article, then send it to your friends who are in need.

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What are Types of Triangles

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Types of Triangles

The different types of triangles are classified according to the length of their sides and as per the measure of the angles. The triangle is one of the most common shapes and is used in construction for its rigidity and stable shape. Understanding these properties allows us to apply the ideas in many real-world problems.

What are the Different Types of Triangles?

There are different types of triangles in math that can be distinguished based on their sides and angles.

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Classifying Triangles

The characteristics of a triangle’s sides and angles are used to classify them. The different types of triangles are as follows:

Types of Triangle Based on SidesTypes of Triangles Based on Angles
Equilateral TriangleAcute-Angled Triangle (Acute Triangle)
Isosceles TriangleRight-Angled Triangle (Right Triangle)
Scalene TriangleObtuse-Angled Triangle (Obtuse Triangle)
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Types of Triangles Based on Sides

On the basis of side lengths, the triangles are classified into the following types:

Equilateral Triangle: 

A triangle is considered to be an equilateral triangle when all three sides have the same length.

Isosceles triangle: 

When two sides of a triangle are equal or congruent, then it is called an isosceles triangle.

Scalene triangle:

 When none of the sides of a triangle are equal, it is called a scalene triangle.

Types of Triangles Based on Angles

On the basis of angles, triangles are classified into the following types:

  • Acute Triangle: When all the angles of a triangle are acute, that is, they measure less than 90°, it is called an acute-angled triangle or acute triangle.
  • Right Triangle: When one of the angles of a triangle is 90°, it is called a right-angled triangle or right triangle.
  • Obtuse Triangle: When one of the angles of a triangle is an obtuse angle, that is, it measures greater than 90°, it is called an obtuse-angled triangle or obtuse triangle.

Types of Triangle Based on Sides and Angles

The different types of triangles are also classified according to their sides and angles as follows:

Equilateral or Equiangular Triangle:

 When all sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle.

Isosceles Right Triangle:

A triangle in which 2 sides are equal and one angle is 90° is called an isosceles right triangle. So, in an isosceles right triangle, two sides and two acute angles are congruent.

Obtuse Isosceles Triangle: 

A triangle in which 2 sides are equal and one angle is an obtuse angle is called an obtuse isosceles triangle.

Acute Isosceles Triangle:

 A triangle in which all 3 angles are acute angles and 2 sides measure the same is called an acute isosceles triangle.

Right Scalene Triangle:

 A triangle in which any one of the angles is a right angle and all the 3 sides are unequal, is called a right scalene triangle.

Obtuse Scalene Triangle: 

A triangle with an obtuse angle with sides of different measures is called an obtuse scalene triangle.

Acute Scalene Triangle:

 A triangle that has 3 unequal sides and 3 acute angles is called an acute scalene triangle.

☛Important Notes:

Here is a list of a few points that should be remembered while studying the types of triangles:

  • In an equilateral triangle, each of the three internal angles is 60°.
  • The three internal angles in a triangle always add up to 180°.
  • All triangles have two acute angles.
  • When all the sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle.

☛ Related Topics:

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How to solve 1/2 as a fraction ?

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Welcome to my article How to solve 1/2 as a fraction ?. This question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question How to solve 1/2 as a fraction ?, read and understand it carefully till the end.

Let us know how to solve this question How to solve 1/2 as a fraction ?.

First write the question on the page of the notebook

How to solve 1/2 as a fraction ?

To find the equivalent fraction for a given fraction, divide the numerator and denominator by the same number.

The fractions equal to the answer 1/2 are 2/4, 3/6, 4/8, 6/12 etc.
Equivalent fractions have the same value in the reduced form.

Explanation:

Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number. This is why on simplification of these fractions they reduce to the same number.

Let us look at the two ways in which we can make equivalent fractions:

Multiply the numerator and denominator by the same number.
Divide the numerator and denominator by the same number.
1/2 . different equivalent to

Thus, 3/6, 6/12, and 4/8 are equal to 1/2 when simplified.

So they are all equal to 1/2. (ANSWER)

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How to solve what is 3/4 of 4/5 ?

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Hello friends,
Welcome to my article what is 3/4 of 4/5 ? This article is taken from the simplification lesson, in this article we have been told how to solve the problem easily by doing addition, subtraction, multiplication, division and fractionation.or complete information on how to solve this what is 3/4 of 4/5 ? read and understand it carefully.

Let us read / understand about this article what is 3/4 of 4/5 ?

First of all we should write the article on the page of the notebook.

what is 3/4 of 4/5 ?

This type of question can be solved in many ways

If 4/5 of 3/4

Then ,

\displaystyle \frac{3}{4}of\frac{4}{5}=\frac{3}{4}\times \frac{4}{5}

\displaystyle \frac{3}{4}of\frac{4}{5}=\frac{{3\times 4}}{{4\times 5}}

\displaystyle \frac{3}{4}of\frac{4}{5}=\frac{{12}}{{20}}

It can also be written like this,

\displaystyle \frac{3}{4}of\frac{4}{5}=\frac{{3\times 4}}{{5\times 4}}

Thus if there are even numbers from bottom to top, then remove it.

\displaystyle \frac{3}{4}of\frac{4}{5}=\frac{3}{5}

So the desired solution of this question =3/5 answer

Can also solve it like this,

what is 3/4 of 4/5 ?

Let x be 4/5 of 3/4,

then,

\displaystyle \frac{3}{4}of\frac{4}{5}=x

\displaystyle \frac{3}{4}\times \frac{4}{5}=x

\displaystyle \frac{{3\times 4}}{{4\times 5}}=x

\displaystyle x=\frac{{3\times 4}}{{4\times 5}}

\displaystyle x=\frac{3}{5}Answer

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How to solve x+10/2+75/5=9x-45

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How to solve x+10/2+75/5=9x-45
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Our mission is to systematically share mathematics information to people around the world and to make it universally accessible and useful.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question x+10/2+75/5=9x-45, read and understand it carefully till the end.

Let us know how to solve this question x+10/2+75/5=9x-45.

First write the question on the page of the notebook.

How to solve x+10/2+75/5=9x-45

To solve this question, we will write it in a simple way like this ,

\displaystyle x+\frac{{10}}{2}+\frac{{75}}{5}=9x-45

\displaystyle x+5+15=9x-45

\displaystyle x+20=9x-45

\displaystyle 20+45=9x-x

\displaystyle 65=8x

or ,

\displaystyle 8x=65

\displaystyle x=\frac{{65}}{8}

x = 8.125 [Answer]

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