What is (4-2/5)\times (2-1 1/6) ?

The solution to (4-2/5)\times (2-1 1/6) is 3

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(4-2/5)\times (2-1 1/6)

(4 - \frac{2}{5}) \cdot (2 - 1 \frac{1}{6})

3

Solution steps

(4 - \frac{2}{5}) \cdot (2 - 1 \frac{1}{6})

Convert mixed numbers to improper fractions:

1 \frac{1}{6} = \frac{7}{6}

= (4 - \frac{2}{5}) \cdot (2 - \frac{7}{6})

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - \frac{2}{5}) : \frac{18}{5}

= \frac{18}{5} (2 - \frac{7}{6})

Calculate within parentheses

(2 - \frac{7}{6}) : \frac{5}{6}

= \frac{18}{5} \cdot \frac{5}{6}

Multiply and divide (left to right)

\frac{18}{5} \cdot \frac{5}{6} : 3

= 3

\frac{49}{2} - 21 - (\frac{9}{2} - 9)

56 \cdot 9 \div 14 \cdot \frac{1}{3}

3^{2} + 21 \div 3

5^{2} + 2 (5) - 4

16 \div 12 \cdot 8