Basic Math Examples

$\frac{5}{8} + \frac{5}{16} + \frac{7}{8}$

Step 1

Combine the numerators over the common denominator.

$\frac{5 + 7}{8} + \frac{5}{16}$

Step 2

Add $5$ and $7$ .

$\frac{12}{8} + \frac{5}{16}$

Step 3

Cancel the common factor of $12$ and $8$ .

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Step 3.1

Factor $4$ out of $12$ .

$\frac{4 (3)}{8} + \frac{5}{16}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $8$ .

$\frac{4 \cdot 3}{4 \cdot 2} + \frac{5}{16}$

Step 3.2.2

Cancel the common factor.

$\frac{4 \cdot 3}{4 \cdot 2} + \frac{5}{16}$

Step 3.2.3

Rewrite the expression.

$\frac{3}{2} + \frac{5}{16}$

Step 4

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

$\frac{3}{2} \cdot \frac{8}{8} + \frac{5}{16}$

Step 5

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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Step 5.1

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

$\frac{3 \cdot 8}{2 \cdot 8} + \frac{5}{16}$

Step 5.2

Multiply $2$ by $8$ .

$\frac{3 \cdot 8}{16} + \frac{5}{16}$

Step 6

Combine the numerators over the common denominator.

$\frac{3 \cdot 8 + 5}{16}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $3$ by $8$ .

$\frac{24 + 5}{16}$

Step 7.2

Add $24$ and $5$ .

$\frac{29}{16}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{16}$

Decimal Form:

$1.8125$

Mixed Number Form:

$1 \frac{13}{16}$