Question

Simplify:

(vi) $36\times 3\frac{1}{4}$

Answer 1

Step 1: Re-writing the mixed fractioon as an improper fraction

$MixedFraction=\frac{Integralpart\times Denominator+Numerator}{Denominator}$

We will use the above formula to convert the mixed fraction into an improper fraction.

$36\times 3\frac{1}{4}=36\times \frac{3\times 4+1}{4}=36\times \frac{12+1}{4}$

$=36\times \frac{13}{4}$

Step 2: Simplifying the above obtained expression

To multiply a fraction with an integer simply we have to multiply that integer with the numerator of the fraction.

So,

$36\times \frac{13}{4}=\frac{36\times 13}{4}=117$

Hence, given expression simplifies to 117.