What is 3/2 (-5/7+8/4) ?

The solution to 3/2 (-5/7+8/4) is 1 13/14

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3/2 (-5/7+8/4)

\frac{3}{2} (- \frac{5}{7} + \frac{8}{4})

1 \frac{13}{14}

Solution steps

\frac{3}{2} (- \frac{5}{7} + \frac{8}{4})

\frac{8}{4} = 2

= \frac{3}{2} (- \frac{5}{7} + 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(- \frac{5}{7} + 2) : \frac{9}{7}

= \frac{3}{2} \cdot \frac{9}{7}

Multiply and divide (left to right)

\frac{3}{2} \cdot \frac{9}{7} : \frac{27}{14}

= \frac{27}{14}

Convert improper fractions to mixed numbers:

\frac{27}{14} = 1 \frac{13}{14}

= 1 \frac{13}{14}

36 \div 6 + 8 - 8

1 6^{2} + 6^{2}

- (2 - 4)^{3}

5 \cdot (3 + 6)^{2} - 6^{2}

25 - 10 \div 5 + 4 \cdot 3 - 2 (5 - 3) - 6