Question

Convert the following decimal into fractions of its simplest form.

$9.234$

Answer 1

Step 1: Convert $9.234$ 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, $9.234=\frac{9234}{1000}$

Step 2: Reduce the fraction to its lowest form:

Since $HCF(9234,1000)=2$ Thus, to get the simplest form divide the numerator and denominator by $2$

$\frac{9234}{1000}=\frac{9234÷2}{1000÷2}=\frac{4617}{500}$

or, $\frac{4617}{500}=9\frac{117}{500}$

Hence, $9.234=\frac{4617}{500}=9\frac{117}{500}$.