Question

You eat $\frac{1}{12}$ of a vegetable. Your friend eats $\frac{1}{3}$ of the same vegetable. How much more did your friend eat than you?

• A. $\frac{1}{3}$
• B.
  $\frac{3}{12}$
• C. $\frac{1}{4}$
• D. $\frac{1}{12}$

Answer 1

Answer: (B), (C)

$\frac{1}{4}$

Solution:
Your friend eats $\frac{1}{3}$ of the vegetable.
You eat $\frac{1}{12}$ of a vegetable.
The amount of vegetable your friend ate more than you $=\frac{1}{3}-\frac{1}{12}$
$\frac{1}{3}$ and $\frac{1}{12}$ are unlike fractions.
To add unlike fractions, first convert them into like fractions by finding the equivalent fractions with the same denominator.
$\frac{1}{3}=\frac{1\times 4}{3\times 4}=\frac{4}{12}$
$\frac{1}{3}-\frac{1}{12}=\frac{4}{12}-\frac{1}{12}=\frac{4-1}{12}=\frac{3}{12}$
$\frac{3}{12}=\frac{3÷3}{12÷3}=\frac{1}{4}$
$\frac{3}{12}$ is an equivalent fraction of $\frac{1}{4}$.
Hence, options A and D are correct.