What is 3/7 \times 2/8 \times (-6) ?

The solution to 3/7 \times 2/8 \times (-6) is -9/14

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/7 \times 2/8 \times (-6)

\frac{3}{7} \cdot \frac{2}{8} \cdot (- 6)

- \frac{9}{14}

Solution steps

\frac{3}{7} \cdot \frac{2}{8} (- 6)

\frac{2}{8} = \frac{1}{4}

Cancel the common factor:

2

\frac{1}{4}

= \frac{3}{7} \cdot \frac{1}{4} (- 6)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{3}{7} \cdot \frac{1}{4} (- 6) : - \frac{9}{14}

\frac{3}{7} \cdot \frac{1}{4} (- 6)

\frac{3}{7} \frac{1}{4} = \frac{3}{28}

\frac{3}{7} \cdot \frac{1}{4}

Apply the fraction rule:

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

= \frac{3 \cdot 1}{7 \cdot 4}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3}{7 \cdot 4}

Multiply the numbers:

7 \cdot 4 = 28

= \frac{3}{28}

= \frac{3}{28} (- 6)

\frac{3}{28} (- 6) = - \frac{9}{14}

\frac{3}{28} (- 6)

Apply rule

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

\frac{3}{28} (- 6) = - \frac{3}{28} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= - \frac{3}{28} \cdot \frac{6}{1}

Apply the fraction rule:

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

\frac{3}{28} \cdot \frac{6}{1} = \frac{3 \cdot 6}{28 \cdot 1}

= - \frac{3 \cdot 6}{28 \cdot 1}

Cancel

\frac{3 \cdot 6}{28 \cdot 1} : \frac{9}{14}

\frac{3 \cdot 6}{28 \cdot 1}

Multiply the numbers:

28 \cdot 1 = 28

= \frac{3 \cdot 6}{28}

Factor the number:

6 = 2 \cdot 3

= \frac{3 \cdot 2 \cdot 3}{28}

Factor the number:

28 = 2 \cdot 14

= \frac{3 \cdot 2 \cdot 3}{2 \cdot 14}

Cancel the common factor:

2

= \frac{3 \cdot 3}{14}

Multiply the numbers:

3 \cdot 3 = 9

= \frac{9}{14}

= - \frac{9}{14}

= - \frac{9}{14}

= - \frac{9}{14}

2 (- 5) + 2

2 (- 5 - 9 (- 8))

1 + (- 10) + 8

(5 + 4) - 8

1^{3} + 2^{3} + 3^{3} + 4^{3}

What is 3/7 \times 2/8 \times (-6) ?
The solution to 3/7 \times 2/8 \times (-6) is -9/14