Question

1. $1\frac{1}{2}+\frac{1}{4}=$

$1\frac{1}{6}$
$1\frac{1}{3}$
$1\frac{1}{4}$
$1\frac{3}{4}$

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$

Step2: Find a common denominator

The common denominator of 2 and 4 is 4. So $\frac{3}{2}=\frac{3\times2}{2\times2}=\frac{6}{4}$

Step3: Add the fractions

$\frac{6}{4}+\frac{1}{4}=\frac{6 + 1}{4}=\frac{7}{4}$

Step4: Convert back to mixed - number

$\frac{7}{4}=1\frac{3}{4}$

Answer:

D. $1\frac{3}{4}$