Question

add. write your answer as a fraction or as a whole or mixed number. 8\frac{1}{4}+3\frac{1}{2}=

Explanation:

Step1: Convert mixed numbers to improper fractions

$8\frac{1}{4}=\frac{8\times4 + 1}{4}=\frac{33}{4}$ and $3\frac{1}{2}=\frac{3\times2+1}{2}=\frac{7}{2}$

Step2: Find a common denominator

The common denominator of 4 and 2 is 4. So $\frac{7}{2}=\frac{7\times2}{2\times2}=\frac{14}{4}$

Step3: Add the fractions

$\frac{33}{4}+\frac{14}{4}=\frac{33 + 14}{4}=\frac{47}{4}$

Step4: Convert to mixed - number

$\frac{47}{4}=11\frac{3}{4}$

Answer:

$11\frac{3}{4}$