What is 3/2 (11/3-2/7) ?

The solution to 3/2 (11/3-2/7) is 5 1/14

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3/2 (11/3-2/7)

\frac{3}{2} (\frac{11}{3} - \frac{2}{7})

5 \frac{1}{14}

Solution steps

\frac{3}{2} (\frac{11}{3} - \frac{2}{7})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{11}{3} - \frac{2}{7}) : \frac{71}{21}

= \frac{3}{2} \cdot \frac{71}{21}

Multiply and divide (left to right)

\frac{3}{2} \cdot \frac{71}{21} : \frac{71}{14}

= \frac{71}{14}

Convert improper fractions to mixed numbers:

\frac{71}{14} = 5 \frac{1}{14}

= 5 \frac{1}{14}

14 + 18 \div 2 \cdot 18 - 7

2 - \frac{2}{3} (3)

10 - 1 \times 5^{3} + 9 \div 18 + 3

(- 25) \cdot 8 \cdot (- 1)

2 - \frac{5}{2} + \frac{3}{2}