What is 7/2 (6/49 y-1/7) ?

The solution to 7/2 (6/49 y-1/7) is (6y-7)/(14)

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simplify 7/2 (6/49 y-1/7)

simplify

\frac{7}{2} (\frac{6}{49} y - \frac{1}{7})

\frac{6 y - 7}{14}

Solution steps

\frac{7}{2} (\frac{6}{49} y - \frac{1}{7})

Simplify

\frac{6}{49} y : \frac{6 y}{49}

= \frac{7}{2} (\frac{6 y}{49} - \frac{1}{7})

Apply the fraction rule:

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

= \frac{7 ( \frac{6 y}{49} - \frac{1}{7} )}{2}

Simplify

7 (\frac{6 y}{49} - \frac{1}{7}) : \frac{6 y - 7}{7}

= \frac{\frac{6 y - 7}{7}}{2}

Apply the fraction rule:

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

= \frac{6 y - 7}{7 \cdot 2}

Multiply the numbers:

7 \cdot 2 = 14

= \frac{6 y - 7}{14}

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