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

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

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

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

- 4

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

Apply rule

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

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

Convert element to fraction:

4 = \frac{4}{1}

= - \frac{1}{5} \cdot \frac{4}{1}

Apply the fraction rule:

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

\frac{1}{5} \cdot \frac{4}{1} = \frac{1 \cdot 4}{5 \cdot 1}

= - \frac{1 \cdot 4}{5 \cdot 1}

Multiply the numbers:

1 \cdot 4 = 4

= - \frac{4}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= - \frac{4}{5}

= - \frac{4}{5} \cdot 5

- \frac{4}{5} \cdot 5 = - 4

- \frac{4}{5} \cdot 5

Convert element to fraction:

5 = \frac{5}{1}

= - \frac{4}{5} \cdot \frac{5}{1}

Cross-cancel common factor:

5

= - \frac{4}{1}

Divide the numbers:

\frac{4}{1} = 4

= - 4

= - 4

\frac{1}{3} (- 3)^{3}

- 3 + \frac{1}{3} (6 + 3)

2 + (- 2) + 1 + (- 6)

{2 + [2 - (2 - 5 + (- 3) + 5)]} + (- 3)

+ (- 7) - (- 13) + (- 4) + (+ 2)