Simplify 3/8+1/4+1/2-2/3

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

Find the common denominator.

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

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

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

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

Multiply $\frac{1}{4}$ by $\frac{6}{6}$ .

$\frac{3 \cdot 3}{8 \cdot 3} + \frac{1}{4} \cdot \frac{6}{6} + \frac{1}{2} - \frac{2}{3}$

Multiply $\frac{1}{4}$ by $\frac{6}{6}$ .

$\frac{3 \cdot 3}{8 \cdot 3} + \frac{6}{4 \cdot 6} + \frac{1}{2} - \frac{2}{3}$

Multiply $\frac{1}{2}$ by $\frac{12}{12}$ .

$\frac{3 \cdot 3}{8 \cdot 3} + \frac{6}{4 \cdot 6} + \frac{1}{2} \cdot \frac{12}{12} - \frac{2}{3}$

Multiply $\frac{1}{2}$ by $\frac{12}{12}$ .

$\frac{3 \cdot 3}{8 \cdot 3} + \frac{6}{4 \cdot 6} + \frac{12}{2 \cdot 12} - \frac{2}{3}$

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

$\frac{3 \cdot 3}{8 \cdot 3} + \frac{6}{4 \cdot 6} + \frac{12}{2 \cdot 12} - (\frac{2}{3} \cdot \frac{8}{8})$

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

$\frac{3 \cdot 3}{8 \cdot 3} + \frac{6}{4 \cdot 6} + \frac{12}{2 \cdot 12} - \frac{2 \cdot 8}{3 \cdot 8}$

Reorder the factors of $8 \cdot 3$ .

$\frac{3 \cdot 3}{3 \cdot 8} + \frac{6}{4 \cdot 6} + \frac{12}{2 \cdot 12} - \frac{2 \cdot 8}{3 \cdot 8}$

Multiply $3$ by $8$ .

$\frac{3 \cdot 3}{24} + \frac{6}{4 \cdot 6} + \frac{12}{2 \cdot 12} - \frac{2 \cdot 8}{3 \cdot 8}$

Multiply $4$ by $6$ .

$\frac{3 \cdot 3}{24} + \frac{6}{24} + \frac{12}{2 \cdot 12} - \frac{2 \cdot 8}{3 \cdot 8}$

Multiply $2$ by $12$ .

$\frac{3 \cdot 3}{24} + \frac{6}{24} + \frac{12}{24} - \frac{2 \cdot 8}{3 \cdot 8}$

Multiply $3$ by $8$ .

$\frac{3 \cdot 3}{24} + \frac{6}{24} + \frac{12}{24} - \frac{2 \cdot 8}{24}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 + 6 + 12 - 2 \cdot 8}{24}$

Simplify each term.

Multiply $3$ by $3$ .

$\frac{9 + 6 + 12 - 2 \cdot 8}{24}$

Multiply $- 2$ by $8$ .

$\frac{9 + 6 + 12 - 16}{24}$

Simplify by adding and subtracting.

Add $9$ and $6$ .

$\frac{15 + 12 - 16}{24}$

Add $15$ and $12$ .

$\frac{27 - 16}{24}$

Subtract $16$ from $27$ .

$\frac{11}{24}$

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{24}$

Decimal Form:

$0.458\overline{3}$

Simplify 3/8+1/4+1/2-2/3

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