What is 3\times (1/2+2/3) ?

The solution to 3\times (1/2+2/3) is 3 1/2

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3\times (1/2+2/3)

3 \cdot (\frac{1}{2} + \frac{2}{3})

3 \frac{1}{2}

Solution steps

3 (\frac{1}{2} + \frac{2}{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{2} + \frac{2}{3}) : \frac{7}{6}

= 3 \cdot \frac{7}{6}

Multiply and divide (left to right)

3 \cdot \frac{7}{6} : \frac{7}{2}

= \frac{7}{2}

Convert improper fractions to mixed numbers:

\frac{7}{2} = 3 \frac{1}{2}

= 3 \frac{1}{2}

\frac{- 2 ^{2} - 4 ( - 2 ) + 4}{6}

\frac{9 ( 4 ) - 2 ( - 2 )}{( 4 ) ( - 2 )}

[(- 3) \div (- 4)] \div [(- 15) \div (+ 8)]

4 + 2 \div 2

- 8 \times (- 6) + 4 \times (- 6)