Basic Math Examples

$(\frac{7}{8}) (1 \frac{1}{13})$

Step 1

Convert $1 \frac{1}{13}$ to an improper fraction.

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Step 1.1

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

$\frac{7}{8} (1 + \frac{1}{13})$

Step 1.2

Add $1$ and $\frac{1}{13}$ .

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Step 1.2.1

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

$\frac{7}{8} (\frac{13}{13} + \frac{1}{13})$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{7}{8} \cdot \frac{13 + 1}{13}$

Step 1.2.3

Add $13$ and $1$ .

$\frac{7}{8} \cdot \frac{14}{13}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $8$ .

$\frac{7}{2 (4)} \cdot \frac{14}{13}$

Step 2.2

Factor $2$ out of $14$ .

$\frac{7}{2 \cdot 4} \cdot \frac{2 \cdot 7}{13}$

Step 2.3

Cancel the common factor.

$\frac{7}{2 \cdot 4} \cdot \frac{2 \cdot 7}{13}$

Step 2.4

Rewrite the expression.

$\frac{7}{4} \cdot \frac{7}{13}$

Step 3

Multiply $\frac{7}{4}$ by $\frac{7}{13}$ .

$\frac{7 \cdot 7}{4 \cdot 13}$

Step 4

Multiply.

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Step 4.1

Multiply $7$ by $7$ .

$\frac{49}{4 \cdot 13}$

Step 4.2

Multiply $4$ by $13$ .

$\frac{49}{52}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{49}{52}$

Decimal Form:

$0.94230769 \dots$