Basic Math Examples

$(\frac{7}{16} + \frac{5}{16}) \cdot (\frac{5}{8} \div \frac{1}{10})$

Step 1

Combine the numerators over the common denominator.

$\frac{7 + 5}{16} \cdot \frac{5}{8} \div \frac{1}{10}$

Step 2

Add $7$ and $5$ .

$\frac{12}{16} \cdot \frac{5}{8} \div \frac{1}{10}$

Step 3

Cancel the common factor of $12$ and $16$ .

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Step 3.1

Factor $4$ out of $12$ .

$\frac{4 (3)}{16} \cdot \frac{5}{8} \div \frac{1}{10}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $16$ .

$\frac{4 \cdot 3}{4 \cdot 4} \cdot \frac{5}{8} \div \frac{1}{10}$

Step 3.2.2

Cancel the common factor.

$\frac{4 \cdot 3}{4 \cdot 4} \cdot \frac{5}{8} \div \frac{1}{10}$

Step 3.2.3

Rewrite the expression.

$\frac{3}{4} \cdot \frac{5}{8} \div \frac{1}{10}$

Step 4

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{4} \cdot (\frac{5}{8} \cdot 10)$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $4$ .

$\frac{3}{2 (2)} \cdot (\frac{5}{8} \cdot 10)$

Step 5.2

Factor $2$ out of $\frac{5}{8} \cdot 10$ .

$\frac{3}{2 (2)} \cdot (2 (\frac{5}{8} \cdot 5))$

Step 5.3

Cancel the common factor.

$\frac{3}{2 \cdot 2} \cdot (2 (\frac{5}{8} \cdot 5))$

Step 5.4

Rewrite the expression.

$\frac{3}{2} \cdot (\frac{5}{8} \cdot 5)$

Step 6

Combine $\frac{5}{8}$ and $5$ .

$\frac{3}{2} \cdot \frac{5 \cdot 5}{8}$

Step 7

Multiply $5$ by $5$ .

$\frac{3}{2} \cdot \frac{25}{8}$

Step 8

Multiply $\frac{3}{2}$ by $\frac{25}{8}$ .

$\frac{3 \cdot 25}{2 \cdot 8}$

Step 9

Multiply.

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Step 9.1

Multiply $3$ by $25$ .

$\frac{75}{2 \cdot 8}$

Step 9.2

Multiply $2$ by $8$ .

$\frac{75}{16}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{75}{16}$

Decimal Form:

$4.6875$

Mixed Number Form:

$4 \frac{11}{16}$