What is 3/4 (z+2/5)+2z ?

The solution to 3/4 (z+2/5)+2z is (3(5z+2))/(20)+2z

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simplify 3/4 (z+2/5)+2z

simplify

\frac{3}{4} (z + \frac{2}{5}) + 2 z

\frac{3 ( 5 z + 2 )}{20} + 2 z

Solution steps

\frac{3}{4} (z + \frac{2}{5}) + 2 z

Simplify

z + \frac{2}{5} : \frac{5 z + 2}{5}

= \frac{3}{4} \cdot \frac{5 z + 2}{5} + 2 z

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{3}{4} \cdot \frac{5 z + 2}{5} = \frac{3 ( 5 z + 2 )}{4 \cdot 5}

= \frac{3 ( 5 z + 2 )}{4 \cdot 5} + 2 z

Multiply the numbers:

4 \cdot 5 = 20

= \frac{3 ( 5 z + 2 )}{20} + 2 z

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