Question

add $\frac{1}{3}+4.1$. write your answer as a mixed number in simplest form.

Explanation:

Step1: Convert 4.1 to fraction

$4.1=\frac{41}{10}$

Step2: Find common denominator

The common denominator of 3 and 10 is 30. $\frac{1}{3}=\frac{1\times10}{3\times10}=\frac{10}{30}$ and $\frac{41}{10}=\frac{41\times3}{10\times3}=\frac{123}{30}$

Step3: Add the fractions

$\frac{10}{30}+\frac{123}{30}=\frac{10 + 123}{30}=\frac{133}{30}$

Step4: Convert to mixed - number

$133\div30 = 4$ with a remainder of 13. So $\frac{133}{30}=4\frac{13}{30}$

Answer:

$4\frac{13}{30}$