Question

Convert \[0.7\] into fraction.

Answer 1

Hint: From the question we have been asked to convert the decimal into a fraction. So, for doing this question we will use the decimal system and count the number of decimal places the number has after the point and we will use the basic operations in mathematics which are division and multiplication and solve the given question.

Complete step by step answer:
Firstly, we will count the numbers after the decimal point or right side of the decimal point for the given question\[0.7\].
If \[n\] is the number of digits on the right side of the decimal point, then we will multiply and divide the whole number that is the whole decimal number with \[10n\] to remove the decimal number from the numerator.
Here, for the given number \[0.7\] the number \[n=1\] that is, it has one digit on the right side of the decimal point.
So, the decimal number will be reduced as follows.
\[\Rightarrow 0.7\]
\[\Rightarrow 0.7\times \dfrac{10}{10}\]
\[\Rightarrow \dfrac{7}{10}\]
After doing the above process we will simplify the number by reducing the numerator and denominator if possible.
Here for \[\Rightarrow \dfrac{7}{10}\] the numerator is an odd number and the denominator is an even number.
It can’t be further reduced or simplified.

Therefore, \[\Rightarrow \dfrac{7}{10}\] is the required fraction for the given decimal number.

Note: Students should have good knowledge in the decimal system. Students should not make any calculation mistakes for example if we take the value of \[n\] as \[n=2\] instead of \[n=1\] our answer may be correct at the last but it makes the solution wrong and lengthy.