Question

$\text{Rick sold}\frac{2}{6}\text{of the total apples in Street A}$
$\text{and}\frac{5}{12}\text{of the total apples in Street B}.$

Calculate the combined fraction of apples sold by Rick in the two streets.

• A. $\frac{4}{6}$
• B. $\frac{9}{12}$
• C. $\frac{11}{12}$
• D. $\frac{5}{6}$

Answer 1

The correct option is B $\frac{9}{12}$

$\text{Fraction of apples sold in Street A}=\frac{2}{6}$

We can represent this fraction as:


$\text{Fraction of apples sold in Street B}=\frac{5}{12}$

We can represent this fraction as:


The fractions are unlike fractions.
So, to calculate the combined fraction, convert the fractions into like fractions.

$\text{So, we can represent}\frac{2}{6}as:$


Calculating the combined fraction of apples sold in the streets A and B:

$\frac{2}{6}+$ $\frac{5}{12}=$ $\frac{4}{12}+$ $\frac{5}{12}$

$=\frac{4+5}{12}$

$=\frac{9}{12}$


$\therefore \frac{9}{12}\text{is the combined fraction of}$ $\text{apples sold by Rick in the streets A and B.}$