Question

5.) dontae spent $3\frac{1}{3}$ hours studying for a biology test and $2\frac{3}{4}$ hours studying for a chemistry exam on saturday. how many hours did he study altogether?

Explanation:

Step1: Convert mixed numbers to improper fractions

$3\frac{1}{3}=\frac{3\times3 + 1}{3}=\frac{10}{3}$，$2\frac{3}{4}=\frac{2\times4+3}{4}=\frac{11}{4}$

Step2: Find a common denominator

The common denominator of 3 and 4 is 12.
$\frac{10}{3}=\frac{10\times4}{3\times4}=\frac{40}{12}$，$\frac{11}{4}=\frac{11\times3}{4\times3}=\frac{33}{12}$

Step3: Add the fractions

$\frac{40}{12}+\frac{33}{12}=\frac{40 + 33}{12}=\frac{73}{12}$

Step4: Convert back to a mixed number

$\frac{73}{12}=6\frac{1}{12}$

Answer:

$6\frac{1}{12}$ hours