Basic Math Examples

$\frac{7}{8} - \frac{6}{9}$

Step 1

Cancel the common factor of $6$ and $9$ .

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Step 1.1

Factor $3$ out of $6$ .

$\frac{7}{8} - \frac{3 (2)}{9}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $9$ .

$\frac{7}{8} - \frac{3 \cdot 2}{3 \cdot 3}$

Step 1.2.2

Cancel the common factor.

$\frac{7}{8} - \frac{3 \cdot 2}{3 \cdot 3}$

Step 1.2.3

Rewrite the expression.

$\frac{7}{8} - \frac{2}{3}$

Step 2

To write $\frac{7}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{7}{8} \cdot \frac{3}{3} - \frac{2}{3}$

Step 3

To write $- \frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{7}{8} \cdot \frac{3}{3} - \frac{2}{3} \cdot \frac{8}{8}$

Step 4

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{7}{8}$ by $\frac{3}{3}$ .

$\frac{7 \cdot 3}{8 \cdot 3} - \frac{2}{3} \cdot \frac{8}{8}$

Step 4.2

Multiply $8$ by $3$ .

$\frac{7 \cdot 3}{24} - \frac{2}{3} \cdot \frac{8}{8}$

Step 4.3

Multiply $\frac{2}{3}$ by $\frac{8}{8}$ .

$\frac{7 \cdot 3}{24} - \frac{2 \cdot 8}{3 \cdot 8}$

Step 4.4

Multiply $3$ by $8$ .

$\frac{7 \cdot 3}{24} - \frac{2 \cdot 8}{24}$

Step 5

Combine the numerators over the common denominator.

$\frac{7 \cdot 3 - 2 \cdot 8}{24}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $7$ by $3$ .

$\frac{21 - 2 \cdot 8}{24}$

Step 6.2

Multiply $- 2$ by $8$ .

$\frac{21 - 16}{24}$

Step 6.3

Subtract $16$ from $21$ .

$\frac{5}{24}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{24}$

Decimal Form:

$0.208\overline{3}$