Question

Find each sum or difference
1. 5/10 - 3/10
2.1/2 + 3/4
3. 1/6 + 3/8
4. 7/8 - 5/12
5. The sum of two numbers is 7/8. One addend is 3/4. What is the other


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Answer 1

(1.)
$\frac{5}{10} - \frac{3}{10} \\ = \frac{2}{10} \\ = \frac{1}{5}$
(2.)
$\frac{1}{2} + \frac{3}{4} \\ = \frac{1 \times 2}{2 \times 2} + \frac{3}{4} \\ = \frac{2}{4} + \frac{3}{4} \\ = \frac{5}{4}$
(3.)
$\frac{1}{6} + \frac{3}{8} \\ = \frac{1 \times 4}{6 \times 4} + \frac{3 \times 3}{8 \times 3} \\ = \frac{4}{24} + \frac{9}{24} \\ = \frac{13}{24}$
(4.)
$\frac{7}{8} - \frac{5}{12} \\ = \frac{7 \times 3}{8 \times 3} - \frac{5 \times 2}{12 \times 2} \\ = \frac{21}{24} - \frac{10}{24} \\ = \frac{11}{24}$
(5.)
$\frac{7}{8} - \frac{3}{4} \\ = \frac{7}{8} - \frac{3 \times 2}{4 \times 2} \\ = \frac{7}{8} - \frac{6}{8} \\ = \frac{1}{8}$