What is 1 1/2*(-4) 2/5 ?

The solution to 1 1/2*(-4) 2/5 is -12/5

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1 1/2*(-4) 2/5

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

- \frac{12}{5}

Solution steps

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

Convert mixed numbers to improper fractions:

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

1 \frac{1}{2}

Convert mixed numbers to improper fraction:

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

1 \frac{1}{2} = \frac{1 \cdot 2 + 1}{2}

= \frac{3}{2}

= \frac{3}{2} \cdot (- 4) \frac{2}{5}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{3}{2} (- 4) \frac{2}{5} : - \frac{12}{5}

\frac{3}{2} (- 4) \frac{2}{5}

\frac{3}{2} \cdot (- 4) = - 6

\frac{3}{2} (- 4)

Apply rule

a \cdot (- b) = - a \cdot b

\frac{3}{2} (- 4) = - \frac{3}{2} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= - \frac{3}{2} \cdot \frac{4}{1}

Apply the fraction rule:

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

\frac{3}{2} \cdot \frac{4}{1} = \frac{3 \cdot 4}{2 \cdot 1}

= - \frac{3 \cdot 4}{2 \cdot 1}

Cancel

\frac{3 \cdot 4}{2 \cdot 1} : 6

\frac{3 \cdot 4}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{3 \cdot 4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

= - 6

= - 6 \cdot \frac{2}{5}

- 6 \frac{2}{5} = - \frac{12}{5}

- 6 \cdot \frac{2}{5}

Convert element to fraction:

6 = \frac{6}{1}

= - \frac{6}{1} \cdot \frac{2}{5}

Apply the fraction rule:

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

\frac{6}{1} \cdot \frac{2}{5} = \frac{6 \cdot 2}{1 \cdot 5}

= - \frac{6 \cdot 2}{1 \cdot 5}

Multiply the numbers:

6 \cdot 2 = 12

= - \frac{12}{1 \cdot 5}

Multiply the numbers:

1 \cdot 5 = 5

= - \frac{12}{5}

= - \frac{12}{5}

= - \frac{12}{5}

- 16 + 32 - 7

((3) - 3)^{2}

5 + {30 + [10 \div (4 + 1)]}

(4 \times 7) + (2 + 10 + (100 \div 10))

4 \times (- 1) - 2