What is expand 1 1/5 (1-5/6) ?

The solution to expand 1 1/5 (1-5/6) is 1/5

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expand 1 1/5 (1-5/6)

expand

1 \frac{1}{5} (1 - \frac{5}{6})

\frac{1}{5}

Decimal Notation

0.2

Solution steps

1 \frac{1}{5} (1 - \frac{5}{6})

Convert mixed numbers to improper fractions:

1 \frac{1}{5} = \frac{6}{5}

= \frac{6}{5} (1 - \frac{5}{6})

Apply the distributive law:

a (b - c) = ab - a c

\frac{6}{5} (1 - \frac{5}{6}) = \frac{6}{5} \cdot 1 - \frac{6}{5} \cdot \frac{5}{6}

= \frac{6}{5} \cdot 1 - \frac{6}{5} \cdot \frac{5}{6}

\frac{6}{5} \cdot 1 - \frac{6}{5} \cdot \frac{5}{6} = \frac{1}{5}

= \frac{1}{5}

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