What is 1 1/3 \times (-4) 1/2 ?

The solution to 1 1/3 \times (-4) 1/2 is -8/3

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1 1/3 \times (-4) 1/2

1 \frac{1}{3} \cdot (- 4) \frac{1}{2}

- \frac{8}{3}

Solution steps

1 \frac{1}{3} \cdot (- 4) \frac{1}{2}

Convert mixed numbers to improper fractions:

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

1 \frac{1}{3}

Convert mixed numbers to improper fraction:

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

1 \frac{1}{3} = \frac{1 \cdot 3 + 1}{3}

= \frac{4}{3}

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{4}{3} (- 4) \frac{1}{2} : - \frac{8}{3}

\frac{4}{3} (- 4) \frac{1}{2}

\frac{4}{3} \cdot (- 4) = - \frac{16}{3}

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

Apply rule

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

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

Convert element to fraction:

4 = \frac{4}{1}

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

Apply the fraction rule:

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

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

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

Multiply the numbers:

4 \cdot 4 = 16

= - \frac{16}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= - \frac{16}{3}

= - \frac{16}{3} \cdot \frac{1}{2}

- \frac{16}{3} \frac{1}{2} = - \frac{8}{3}

- \frac{16}{3} \cdot \frac{1}{2}

Apply the fraction rule:

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

\frac{16}{3} \cdot \frac{1}{2} = \frac{16 \cdot 1}{3 \cdot 2}

= - \frac{16 \cdot 1}{3 \cdot 2}

\frac{16 \cdot 1}{3 \cdot 2} = \frac{8}{3}

\frac{16 \cdot 1}{3 \cdot 2}

Multiply the numbers:

16 \cdot 1 = 16

= \frac{16}{3 \cdot 2}

Factor the number:

16 = 2 \cdot 8

= \frac{2 \cdot 8}{3 \cdot 2}

Cancel the common factor:

2

= \frac{8}{3}

= - \frac{8}{3}

= - \frac{8}{3}

= - \frac{8}{3}

42 \div 33 - 1

3 (- 2)^{2} + 5

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

- (- 7 - (+ 10 + 4 - (- 70 + 90) - 4) + 28)

2 \times 10 + 10 - 8