Question

1. first make like units, and then add.

a. $\frac{3}{4} + \frac{1}{7} =$
c. $\frac{3}{8} + \frac{3}{7} =$
e. $\frac{1}{5} + \frac{2}{3} =$

Explanation:

Step1: Find common denominator (28)

$\frac{3}{4} = \frac{3 \times 7}{4 \times 7} = \frac{21}{28}$, $\frac{1}{7} = \frac{1 \times 4}{7 \times 4} = \frac{4}{28}$

Step2: Add the fractions

$\frac{21}{28} + \frac{4}{28} = \frac{21+4}{28} = \frac{25}{28}$

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Step1: Find common denominator (56)

$\frac{3}{8} = \frac{3 \times 7}{8 \times 7} = \frac{21}{56}$, $\frac{3}{7} = \frac{3 \times 8}{7 \times 8} = \frac{24}{56}$

Step2: Add the fractions

$\frac{21}{56} + \frac{24}{56} = \frac{21+24}{56} = \frac{45}{56}$

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Step1: Find common denominator (15)

$\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$, $\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}$

Step2: Add the fractions

$\frac{3}{15} + \frac{10}{15} = \frac{3+10}{15} = \frac{13}{15}$

Answer:

a. $\frac{25}{28}$
c. $\frac{45}{56}$
e. $\frac{13}{15}$