Question

1. create equivalent fractions.

\frac{1}{3} =
\frac{}{6} =
\frac{3}{} =
\frac{}{12} =
\frac{5}{} =
\frac{}{18} =
\frac{7}{}

1. add or subtract.

a) \frac{2}{5} + \frac{1}{2}
b) \frac{7}{8} - \frac{1}{4}

Explanation:

Part a: $\boldsymbol{\frac{2}{5} + \frac{1}{2}}$

Step1: Find a common denominator

The denominators are 5 and 2. The least common denominator (LCD) of 5 and 2 is $5 \times 2 = 10$.

Step2: Rewrite fractions with the LCD

Rewrite $\frac{2}{5}$ as $\frac{2 \times 2}{5 \times 2} = \frac{4}{10}$ and $\frac{1}{2}$ as $\frac{1 \times 5}{2 \times 5} = \frac{5}{10}$.

Step3: Add the numerators

Add the numerators of the equivalent fractions: $\frac{4}{10} + \frac{5}{10} = \frac{4 + 5}{10} = \frac{9}{10}$.

Step1: Find a common denominator

The denominators are 8 and 4. The least common denominator (LCD) of 8 and 4 is 8.

Step2: Rewrite the second fraction with the LCD

Rewrite $\frac{1}{4}$ as $\frac{1 \times 2}{4 \times 2} = \frac{2}{8}$.

Step3: Subtract the numerators

Subtract the numerators of the fractions: $\frac{7}{8} - \frac{2}{8} = \frac{7 - 2}{8} = \frac{5}{8}$.

Answer:

$\frac{9}{10}$

Part b: $\boldsymbol{\frac{7}{8} - \frac{1}{4}}$