How to convert decimal to fraction ?

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Welcome to my article how to convert decimal to fraction

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how to convert decimal to fraction ?

(DECIMAL)

A decimal number is a number that has a dot (.) or a decimal point between the digits. Basically, decimals are nothing but a fraction with a denominator of 10 or a multiple of 10. For example, 4.23, 12.65, 55.1, 3.8, 7.234, etc. are decimals.

(FRACTION)

A fraction is a part of a whole number. It is represented as the ratio of two numbers a/b, where P and Q are integers, also Q 0. The two numbers are called numerator and denominator. For example, 2/3 is a division of 2, 5/4 is a division of 5, etc. We can perform all arithmetic operations on fractions. There are three types of fractions, proper, improper and mixed.

How to convert a decimal number to a fraction?

Write the given decimal number as P /Q in the form Q =1. Now multiply and divide the numerator and denominator by 10n to n decimal places. Now simplify the obtained fraction.

OR,

To convert a decimal number into a fraction, we should write 1 (one) just below the decimal point and write 0 (zero) in front of 1 for as many digits as there are in front of the decimal.
In this way, the new number formed is multiplied from the given number up and down.

Let us understand this with an example.

Convert 25.805 (Decimal Number) to Fraction:-

\displaystyle 25.805\times \frac{{1000}}{{1000}}

\displaystyle \frac{{25805.000}}{{1000}}

\displaystyle \frac{{25805}}{{1000}}

\displaystyle \frac{{5161\times 5}}{{200\times 5}}

\displaystyle \frac{{5161}}{{200}}