Question

Convert the following decimal into a fraction of its simplest form.

$5.756$

Answer 1

Step 1: Convert $5.756$ into a fraction

Write the given number without a decimal point as the numerator of the fraction and write $1$in the denominator followed by as many zeroes as the number of decimal places in the given number.

So,

$5.756=\frac{5756}{1000}$

Step 2: Reduce the fraction to its lowest form

Since $HCF(5756,1000)=4$ Thus, to get the simplest form divide the numerator and denominator by $4$

$\frac{5756}{1000}=\frac{5756÷4}{1000÷4}=\frac{1439}{250}$

or, $\frac{1439}{250}=5\frac{189}{250}$

Hence, $5.756=\frac{1439}{250}=5\frac{189}{250}$