Question

Write the $7.52$ decimals as fractions in their lowest terms

Answer 1

Remove the decimal point in the decimal number and put $10$ or powers of $10$ in the denominator that is determined by number of digits in the decimal part.

$$\begin{gathered} 7.52=\frac{752}{100}\left[\because \mathrm{two}\mathrm{digit}s\mathrm{after}\mathrm{decimal}\right] \\ =\frac{752}{100} \\ =\frac{188}{25}\left[\mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}4\right] \end{gathered}$$

Now , the numerator and denominator has no common factor other than $1$, therefore it is the lowest form

Hence ,$7.52$ as fraction in lowest terms is $\frac{188}{25}$