Evaluate 3/2+2 1/4-7/8

$\frac{3}{2} + 2 \frac{1}{4} - \frac{7}{8}$

Convert $2 \frac{1}{4}$ to an improper fraction.

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

$\frac{3}{2} + 2 + \frac{1}{4} - \frac{7}{8}$

Add $2$ and $\frac{1}{4}$ .

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

$\frac{3}{2} + 2 \cdot \frac{4}{4} + \frac{1}{4} - \frac{7}{8}$

Combine $2$ and $\frac{4}{4}$ .

$\frac{3}{2} + \frac{2 \cdot 4}{4} + \frac{1}{4} - \frac{7}{8}$

Combine the numerators over the common denominator.

$\frac{3}{2} + \frac{2 \cdot 4 + 1}{4} - \frac{7}{8}$

Simplify the numerator.

Multiply $2$ by $4$ .

$\frac{3}{2} + \frac{8 + 1}{4} - \frac{7}{8}$

Add $8$ and $1$ .

$\frac{3}{2} + \frac{9}{4} - \frac{7}{8}$

Find the common denominator.

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

$\frac{3}{2} \cdot \frac{4}{4} + \frac{9}{4} - \frac{7}{8}$

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

$\frac{3 \cdot 4}{2 \cdot 4} + \frac{9}{4} - \frac{7}{8}$

Multiply $\frac{9}{4}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 4}{2 \cdot 4} + \frac{9}{4} \cdot \frac{2}{2} - \frac{7}{8}$

Multiply $\frac{9}{4}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 4}{2 \cdot 4} + \frac{9 \cdot 2}{4 \cdot 2} - \frac{7}{8}$

Multiply $2$ by $4$ .

$\frac{3 \cdot 4}{8} + \frac{9 \cdot 2}{4 \cdot 2} - \frac{7}{8}$

Reorder the factors of $4 \cdot 2$ .

$\frac{3 \cdot 4}{8} + \frac{9 \cdot 2}{2 \cdot 4} - \frac{7}{8}$

Multiply $2$ by $4$ .

$\frac{3 \cdot 4}{8} + \frac{9 \cdot 2}{8} - \frac{7}{8}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 4 + 9 \cdot 2 - 7}{8}$

Simplify each term.

Multiply $3$ by $4$ .

$\frac{12 + 9 \cdot 2 - 7}{8}$

Multiply $9$ by $2$ .

$\frac{12 + 18 - 7}{8}$

Simplify by adding and subtracting.

Add $12$ and $18$ .

$\frac{30 - 7}{8}$

Subtract $7$ from $30$ .

$\frac{23}{8}$

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{8}$

Decimal Form:

$2.875$

Mixed Number Form:

$2 \frac{7}{8}$

Evaluate 3/2+2 1/4-7/8

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