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

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

Combine the numerators over the common denominator.

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

Add $3$ and $1$ .

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

Find the common denominator.

Multiply $\frac{4}{8}$ by $\frac{3}{3}$ .

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

Multiply $\frac{4}{8}$ by $\frac{3}{3}$ .

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

Multiply $\frac{- 1}{3}$ by $\frac{8}{8}$ .

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

Multiply $\frac{- 1}{3}$ by $\frac{8}{8}$ .

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

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

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

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

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

Reorder the factors of $8 \cdot 3$ .

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

Multiply $3$ by $8$ .

$\frac{4 \cdot 3}{24} + \frac{- 1 \cdot 8}{3 \cdot 8} + \frac{6}{4 \cdot 6}$

Multiply $3$ by $8$ .

$\frac{4 \cdot 3}{24} + \frac{- 1 \cdot 8}{24} + \frac{6}{4 \cdot 6}$

Multiply $4$ by $6$ .

$\frac{4 \cdot 3}{24} + \frac{- 1 \cdot 8}{24} + \frac{6}{24}$

Combine the numerators over the common denominator.

$\frac{4 \cdot 3 - 1 \cdot 8 + 6}{24}$

Simplify each term.

Multiply $4$ by $3$ .

$\frac{12 - 1 \cdot 8 + 6}{24}$

Multiply $- 1$ by $8$ .

$\frac{12 - 8 + 6}{24}$

Reduce the expression by cancelling the common factors.

Subtract $8$ from $12$ .

$\frac{4 + 6}{24}$

Add $4$ and $6$ .

$\frac{10}{24}$

Cancel the common factor of $10$ and $24$ .

Factor $2$ out of $10$ .

$\frac{2 (5)}{24}$

Cancel the common factors.

Factor $2$ out of $24$ .

$\frac{2 \cdot 5}{2 \cdot 12}$

Cancel the common factor.

$\frac{2 \cdot 5}{2 \cdot 12}$

Rewrite the expression.

$\frac{5}{12}$

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{12}$

Decimal Form:

$0.41\overline{6}$

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

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