Question

name herman

1. first make like units, and then add.

a. \\(\frac{3}{4} + \frac{1}{7} =\\)
b. \\(\frac{1}{4} + \frac{9}{8} =\\)
c. \\(\frac{3}{8} + \frac{3}{7} =\\)
d. \\(\frac{4}{9} + \frac{4}{7} =\\)
e. \\(\frac{1}{5} + \frac{2}{3} =\\)
f. \\(\frac{3}{4} +\\)

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

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

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Step1: Find common denominator (8)

$\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}$

Step2: Add the fractions

$\frac{2}{8} + \frac{9}{8} = \frac{11}{8}$

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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

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

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Step1: Find common denominator (63)

$\frac{4}{9} = \frac{4 \times 7}{9 \times 7} = \frac{28}{63}$, $\frac{4}{7} = \frac{4 \times 9}{7 \times 9} = \frac{36}{63}$

Step2: Add the fractions

$\frac{28}{63} + \frac{36}{63} = \frac{64}{63}$

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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

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

Answer:

a. $\frac{25}{28}$
b. $\frac{11}{8}$
c. $\frac{45}{56}$
d. $\frac{64}{63}$
e. $\frac{13}{15}$
(Note: Part f is incomplete and cannot be solved with the given information)