Basic Math Examples

$\frac{9}{10} \cdot ((- 12) (- 1 \frac{2}{3}))$

Step 1

Convert $1 \frac{2}{3}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{9}{10} \cdot (- 12 (- (1 + \frac{2}{3})))$

Step 1.2

Add $1$ and $\frac{2}{3}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{9}{10} \cdot (- 12 (- (\frac{3}{3} + \frac{2}{3})))$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{9}{10} \cdot (- 12 (- \frac{3 + 2}{3}))$

Step 1.2.3

Add $3$ and $2$ .

$\frac{9}{10} \cdot (- 12 (- \frac{5}{3}))$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{5}{3}$ into the numerator.

$\frac{9}{10} \cdot (- 12 (\frac{- 5}{3}))$

Step 2.2

Factor $3$ out of $- 12$ .

$\frac{9}{10} \cdot (3 (- 4) \frac{- 5}{3})$

Step 2.3

Cancel the common factor.

$\frac{9}{10} \cdot (3 \cdot - 4 \frac{- 5}{3})$

Step 2.4

Rewrite the expression.

$\frac{9}{10} \cdot (- 4 \cdot - 5)$

Step 3

Multiply $- 4$ by $- 5$ .

$\frac{9}{10} \cdot 20$

Step 4

Cancel the common factor of $10$ .

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Step 4.1

Factor $10$ out of $20$ .

$\frac{9}{10} \cdot (10 (2))$

Step 4.2

Cancel the common factor.

$\frac{9}{10} \cdot (10 \cdot 2)$

Step 4.3

Rewrite the expression.

$9 \cdot 2$

Step 5

Multiply $9$ by $2$ .

$18$