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Fractions Solutions

It is helpful to rewrite all mixed numbers as improper fractions before performing any operations.

Fractions do not need to be written as mixed numbers, but they do need to be simplified . 
When directions say evaluate , calculate the value by performing the given operation on the fraction and then write it in simplest form. 
Simplest form means that the greatest common factor of the numerator and denominator is one .

Evaluate.

$2 \frac{4}{7} - (- \frac{2}{3})$

Implement

$\frac{18}{7} + \frac{2}{3} LCD (7, 3) = 21 \frac{18}{7} (\frac{3}{3}) + \frac{2}{3} (\frac{7}{7}) \frac{54}{21} + \frac{14}{21} = \frac{68}{21}$

Explain

Evaluate.

$- 3 \frac{1}{5} \div (1 \frac{1}{3})$

Implement

$- \frac{16}{5} \div \frac{4}{3} \frac{{}^{- 4}{- 16}}{5} \cdot \frac{3}{4_{1}} - \frac{12}{5}$

Explain