Basic Math Examples

$- \frac{5}{8} + 1 \frac{1}{2}$

Step 1

Convert $1 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

$- \frac{5}{8} + 1 + \frac{1}{2}$

Step 1.2

Add $1$ and $\frac{1}{2}$ .

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Step 1.2.1

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

$- \frac{5}{8} + \frac{2}{2} + \frac{1}{2}$

Step 1.2.2

Combine the numerators over the common denominator.

$- \frac{5}{8} + \frac{2 + 1}{2}$

Step 1.2.3

Add $2$ and $1$ .

$- \frac{5}{8} + \frac{3}{2}$

Step 2

To write $\frac{3}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$- \frac{5}{8} + \frac{3}{2} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{3}{2}$ by $\frac{4}{4}$ .

$- \frac{5}{8} + \frac{3 \cdot 4}{2 \cdot 4}$

Step 3.2

Multiply $2$ by $4$ .

$- \frac{5}{8} + \frac{3 \cdot 4}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 5 + 3 \cdot 4}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $4$ .

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

Step 5.2

Add $- 5$ and $12$ .

$\frac{7}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{8}$

Decimal Form:

$0.875$