Evaluate the expression. Write fraction in simplest form.
$\frac{3}{4} + \frac{7}{10} - \frac{1}{8} \div (- \frac{1}{2})$

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Solution

Step 1: $\frac{3}{4} + \frac{7}{10} - \frac{1}{8} \div (- \frac{1}{2})$
$= \frac{3}{4} + \frac{7}{10} + (\frac{1}{8} \div \frac{1}{2})$
Step 2: Use $a \div b = a \times \frac{1}{b}$
$= \frac{3}{4} + \frac{7}{10} + (\frac{1}{8} \times \frac{2}{1}) = \frac{3}{4} + \frac{7}{10} + \frac{1}{4}$
Step 3: Add numerator of fractions with same denominator
$= \frac{3 + 1}{4} + \frac{7}{10} = 1 + \frac{7}{10} = \frac{17}{10}$
Hence the value of expression in simplest form is $\frac{17}{10}$ .

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