Question

add. write your answer as a fraction or as a whole or mixed number. 4\frac{11}{12}+10\frac{1}{3}=

Explanation:

Step1: Convert mixed - numbers to improper fractions

$4\frac{11}{12}=\frac{4\times12 + 11}{12}=\frac{48+11}{12}=\frac{59}{12}$; $10\frac{1}{3}=\frac{10\times3 + 1}{3}=\frac{30 + 1}{3}=\frac{31}{3}$

Step2: Find a common denominator

The common denominator of 12 and 3 is 12. Since $\frac{31}{3}=\frac{31\times4}{3\times4}=\frac{124}{12}$

Step3: Add the fractions

$\frac{59}{12}+\frac{124}{12}=\frac{59 + 124}{12}=\frac{183}{12}$

Step4: Simplify the fraction

$\frac{183}{12}=\frac{180+3}{12}=15+\frac{3}{12}=14 + 1+\frac{3}{12}=14\frac{5}{12}$

Answer:

$14\frac{5}{12}$