Basic Math Examples

$(\frac{- 1}{2}) (\frac{1}{6}) - \frac{7}{8} \cdot \frac{- 7}{9}$

Step 1

Simplify each term.

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Step 1.1

Move the negative in front of the fraction.

$- \frac{1}{2} \cdot \frac{1}{6} - \frac{7}{8} \cdot \frac{- 7}{9}$

Step 1.2

Multiply $- \frac{1}{2} \cdot \frac{1}{6}$ .

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Step 1.2.1

Multiply $\frac{1}{6}$ by $\frac{1}{2}$ .

$- \frac{1}{6 \cdot 2} - \frac{7}{8} \cdot \frac{- 7}{9}$

Step 1.2.2

Multiply $6$ by $2$ .

$- \frac{1}{12} - \frac{7}{8} \cdot \frac{- 7}{9}$

Step 1.3

Move the negative in front of the fraction.

$- \frac{1}{12} - \frac{7}{8} \cdot (- \frac{7}{9})$

Step 1.4

Multiply $- \frac{7}{8} (- \frac{7}{9})$ .

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Step 1.4.1

Multiply $- 1$ by $- 1$ .

$- \frac{1}{12} + 1 (\frac{7}{8}) \frac{7}{9}$

Step 1.4.2

Multiply $\frac{7}{8}$ by $1$ .

$- \frac{1}{12} + \frac{7}{8} \cdot \frac{7}{9}$

Step 1.4.3

Multiply $\frac{7}{8}$ by $\frac{7}{9}$ .

$- \frac{1}{12} + \frac{7 \cdot 7}{8 \cdot 9}$

Step 1.4.4

Multiply $7$ by $7$ .

$- \frac{1}{12} + \frac{49}{8 \cdot 9}$

Step 1.4.5

Multiply $8$ by $9$ .

$- \frac{1}{12} + \frac{49}{72}$

Step 2

To write $- \frac{1}{12}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$- \frac{1}{12} \cdot \frac{6}{6} + \frac{49}{72}$

Step 3

Write each expression with a common denominator of $72$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{12}$ by $\frac{6}{6}$ .

$- \frac{6}{12 \cdot 6} + \frac{49}{72}$

Step 3.2

Multiply $12$ by $6$ .

$- \frac{6}{72} + \frac{49}{72}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 6 + 49}{72}$

Step 5

Add $- 6$ and $49$ .

$\frac{43}{72}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{43}{72}$

Decimal Form:

$0.597\overline{2}$