Question

What is the combined fraction of sweets eaten by John and Alex?

• A. $1\frac{7}{45}$
• B. $1\frac{1}{35}$
• C. $\frac{45}{52}$
• D. $1\frac{3}{45}$

Answer 1

The correct option is A $1\frac{7}{45}$

$\text{Fraction of sweets eaten by John =}\frac{3}{5}$

We can represent this fraction as:


$\text{Fraction of sweets eaten by Alex =}\frac{5}{9}$

We can represent this fraction as:


The fractions here are unlike fractions.

To calculate the combined fraction, convert the fractions into like fractions with the same denominator.

$\text{So, we can represent}\frac{3}{5}as:$

$\frac{3}{5}=$ $\frac{3\times 9}{5\times 9}$

$=\frac{27}{45}$

$\text{Also, we can represent}\frac{5}{9}as:$

$\frac{5}{9}=$ $\frac{5\times 5}{9\times 5}$

$=\frac{25}{45}$

Calculating the combined fraction of sweets eaten by John and Alex:

$\frac{3}{5}+$ $\frac{5}{9}=$ $\frac{27}{45}+$ $\frac{25}{45}$

$=\frac{27+25}{45}$

$=\frac{52}{45}$

$=1\frac{7}{45}$

$\therefore 1\frac{7}{45}\text{represents the combined fraction}$ $\text{of sweets eaten by John}$ $\text{and Alex.}$