Question

$\text{Represent}\frac{27}{4}\text{as a sum of a whole number}$
$\text{and a proper fraction.}$

• A. $6+\left(\frac{1}{4}\right)$
• B. $20+\left(\frac{1}{2}\right)$
• C. $6+\left(\frac{3}{4}\right)$
• D. $5+\left(\frac{1}{4}\right)$

Answer 1

The correct option is C

$6+\left(\frac{3}{4}\right)$

Dividing 27 by 4, we get 6 as quotient and 3 as remainder.

$\text{So,}\frac{27}{4}\text{can be written as}6\frac{3}{4}=6+\left(\frac{3}{4}\right)$

Alternatively,

$\frac{27}{4}=\left(\frac{24+3}{4}\right)=\frac{24}{4}+\frac{3}{4}=6+\left(\frac{3}{4}\right)$