Evaluate -3/8+5/6-1/4

$- \frac{3}{8} + \frac{5}{6} - \frac{1}{4}$

Step 1

Find the common denominator.

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

$- (\frac{3}{8} \cdot \frac{3}{3}) + \frac{5}{6} - \frac{1}{4}$

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

$- \frac{3 \cdot 3}{8 \cdot 3} + \frac{5}{6} - \frac{1}{4}$

Multiply $\frac{5}{6}$ by $\frac{4}{4}$ .

$- \frac{3 \cdot 3}{8 \cdot 3} + \frac{5}{6} \cdot \frac{4}{4} - \frac{1}{4}$

Multiply $\frac{5}{6}$ by $\frac{4}{4}$ .

$- \frac{3 \cdot 3}{8 \cdot 3} + \frac{5 \cdot 4}{6 \cdot 4} - \frac{1}{4}$

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

$- \frac{3 \cdot 3}{8 \cdot 3} + \frac{5 \cdot 4}{6 \cdot 4} - (\frac{1}{4} \cdot \frac{6}{6})$

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

$- \frac{3 \cdot 3}{8 \cdot 3} + \frac{5 \cdot 4}{6 \cdot 4} - \frac{6}{4 \cdot 6}$

Reorder the factors of $8 \cdot 3$ .

$- \frac{3 \cdot 3}{3 \cdot 8} + \frac{5 \cdot 4}{6 \cdot 4} - \frac{6}{4 \cdot 6}$

Multiply $3$ by $8$ .

$- \frac{3 \cdot 3}{24} + \frac{5 \cdot 4}{6 \cdot 4} - \frac{6}{4 \cdot 6}$

Reorder the factors of $6 \cdot 4$ .

$- \frac{3 \cdot 3}{24} + \frac{5 \cdot 4}{4 \cdot 6} - \frac{6}{4 \cdot 6}$

Multiply $4$ by $6$ .

$- \frac{3 \cdot 3}{24} + \frac{5 \cdot 4}{24} - \frac{6}{4 \cdot 6}$

Multiply $4$ by $6$ .

$- \frac{3 \cdot 3}{24} + \frac{5 \cdot 4}{24} - \frac{6}{24}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 3 \cdot 3 + 5 \cdot 4 - 6}{24}$

Step 3

Simplify each term.

Multiply $- 3$ by $3$ .

$\frac{- 9 + 5 \cdot 4 - 6}{24}$

Multiply $5$ by $4$ .

$\frac{- 9 + 20 - 6}{24}$

Step 4

Simplify by adding and subtracting.

Add $- 9$ and $20$ .

$\frac{11 - 6}{24}$

Subtract $6$ from $11$ .

$\frac{5}{24}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{24}$

Decimal Form:

$0.208\overline{3}$

Evaluate -3/8+5/6-1/4

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