What is 2/9 \times 3/4 \times (-7) ?

The solution to 2/9 \times 3/4 \times (-7) is -7/6

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2/9 \times 3/4 \times (-7)

\frac{2}{9} \cdot \frac{3}{4} \cdot (- 7)

- \frac{7}{6}

Solution steps

\frac{2}{9} \cdot \frac{3}{4} (- 7)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{2}{9} \cdot \frac{3}{4} = \frac{1}{6}

\frac{2}{9} \cdot \frac{3}{4}

Apply the fraction rule:

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

= \frac{2 \cdot 3}{9 \cdot 4}

Cancel

\frac{2 \cdot 3}{9 \cdot 4} : \frac{1}{6}

\frac{2 \cdot 3}{9 \cdot 4}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 3}{9 \cdot 2 \cdot 2}

Cancel the common factor:

2

= \frac{3}{9 \cdot 2}

Cancel the numbers:

\frac{3}{9} = \frac{1}{3}

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

Multiply the numbers:

3 \cdot 2 = 6

= \frac{1}{6}

= \frac{1}{6}

= \frac{1}{6} (- 7)

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

\frac{1}{6} (- 7)

Apply rule

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

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

Convert element to fraction:

7 = \frac{7}{1}

= - \frac{1}{6} \cdot \frac{7}{1}

Apply the fraction rule:

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

\frac{1}{6} \cdot \frac{7}{1} = \frac{1 \cdot 7}{6 \cdot 1}

= - \frac{1 \cdot 7}{6 \cdot 1}

Multiply the numbers:

1 \cdot 7 = 7

= - \frac{7}{6 \cdot 1}

Multiply the numbers:

6 \cdot 1 = 6

= - \frac{7}{6}

= - \frac{7}{6}

- 18 + (- 6) - (+ 11) - (- 5 + 7)

18 \div 3 + (9 - 5)^{3}

12 (3) + 3 (- 9)

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

(200 \cdot 123) \div (50 \cdot 123)

What is 2/9 \times 3/4 \times (-7) ?
The solution to 2/9 \times 3/4 \times (-7) is -7/6