What is 14(1/7*2/5) ?

The solution to 14(1/7*2/5) is 4/5

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14(1/7*2/5)

14 (\frac{1}{7} \cdot \frac{2}{5})

\frac{4}{5}

Solution steps

14 (\frac{1}{7} \cdot \frac{2}{5})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{7} \cdot \frac{2}{5}) : \frac{2}{35}

\frac{1}{7} \cdot \frac{2}{5}

\frac{1}{7} \cdot \frac{2}{5} = \frac{2}{35}

\frac{1}{7} \cdot \frac{2}{5}

Multiply fractions:

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

= \frac{1 \cdot 2}{7 \cdot 5}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{7 \cdot 5}

Multiply the numbers:

7 \cdot 5 = 35

= \frac{2}{35}

= \frac{2}{35}

= 14 \cdot \frac{2}{35}

Multiply and divide (left to right)

14 \cdot \frac{2}{35} : \frac{4}{5}

14 \cdot \frac{2}{35}

Convert element to fraction:

14 = \frac{14}{1}

= \frac{14}{1} \cdot \frac{2}{35}

Apply the fraction rule:

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

= \frac{14 \cdot 2}{1 \cdot 35}

Cancel

\frac{14 \cdot 2}{1 \cdot 35} : \frac{4}{5}

\frac{14 \cdot 2}{1 \cdot 35}

Multiply the numbers:

1 \cdot 35 = 35

= \frac{14 \cdot 2}{35}

Factor the number:

14 = 7 \cdot 2

= \frac{7 \cdot 2 \cdot 2}{35}

Factor the number:

35 = 7 \cdot 5

= \frac{7 \cdot 2 \cdot 2}{7 \cdot 5}

Cancel the common factor:

7

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4}{5}

= \frac{4}{5}

= \frac{4}{5}

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

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