What is 5\times (6-9\times 4/6) ?

The solution to 5\times (6-9\times 4/6) is -405

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5\times (6-9\times 4/6)

5 \cdot (6 - 9 \cdot \frac{4}{6})

- 405

Solution steps

5 \cdot (6 - 9 \cdot \frac{4}{6})

\frac{4}{6} = \frac{2}{3}

Cancel the common factor:

2

\frac{2}{3}

= 5 (6 - 9 \cdot \frac{2}{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - 9 \frac{2}{3}) : - 81

6 - 9 \cdot \frac{2}{3}

Convert mixed numbers to improper fractions:

9 \frac{2}{3} = \frac{29}{3}

9 \frac{2}{3}

Convert mixed numbers to improper fraction:

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

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

= \frac{29}{3}

= 6 - \frac{29}{3}

6 - 9 \cdot \frac{29}{3} = - 81

6 - 9 \cdot \frac{29}{3}

9 \cdot \frac{29}{3} = 87

9 \cdot \frac{29}{3}

Multiply fractions:

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

= \frac{29 \cdot 9}{3}

Multiply the numbers:

29 \cdot 9 = 261

= \frac{261}{3}

Divide the numbers:

\frac{261}{3} = 87

= 87

= 6 - 87

Subtract the numbers:

6 - 87 = - 81

= - 81

= - 81

= 5 (- 81)

Multiply and divide (left to right)

5 (- 81) : - 405

5 (- 81)

Apply rule

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

5 (- 81) = - 5 \cdot 81 = - 405

= - 405

= - 405

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

64 - 16 (3 - 1)^{2}

- 16 - 37 + 81 + 46 - 32 + 67

\frac{1}{2} (6)^{4}

+ (1 - 8 + 3)

What is 5\times (6-9\times 4/6) ?
The solution to 5\times (6-9\times 4/6) is -405