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

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

Step 1

Find the common denominator.

Multiply $\frac{3}{8}$ by $\frac{5}{5}$ .

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

Multiply $\frac{3}{8}$ by $\frac{5}{5}$ .

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

Multiply $\frac{1}{5}$ by $\frac{8}{8}$ .

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

Multiply $\frac{1}{5}$ by $\frac{8}{8}$ .

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

Multiply $\frac{3}{4}$ by $\frac{10}{10}$ .

$\frac{3 \cdot 5}{8 \cdot 5} + \frac{8}{5 \cdot 8} - (\frac{3}{4} \cdot \frac{10}{10})$

Multiply $\frac{3}{4}$ by $\frac{10}{10}$ .

$\frac{3 \cdot 5}{8 \cdot 5} + \frac{8}{5 \cdot 8} - \frac{3 \cdot 10}{4 \cdot 10}$

Reorder the factors of $8 \cdot 5$ .

$\frac{3 \cdot 5}{5 \cdot 8} + \frac{8}{5 \cdot 8} - \frac{3 \cdot 10}{4 \cdot 10}$

Multiply $5$ by $8$ .

$\frac{3 \cdot 5}{40} + \frac{8}{5 \cdot 8} - \frac{3 \cdot 10}{4 \cdot 10}$

Multiply $5$ by $8$ .

$\frac{3 \cdot 5}{40} + \frac{8}{40} - \frac{3 \cdot 10}{4 \cdot 10}$

Multiply $4$ by $10$ .

$\frac{3 \cdot 5}{40} + \frac{8}{40} - \frac{3 \cdot 10}{40}$

Step 2

Combine the numerators over the common denominator.

$\frac{3 \cdot 5 + 8 - 3 \cdot 10}{40}$

Step 3

Simplify each term.

Multiply $3$ by $5$ .

$\frac{15 + 8 - 3 \cdot 10}{40}$

Multiply $- 3$ by $10$ .

$\frac{15 + 8 - 30}{40}$

Step 4

Simplify the expression.

Add $15$ and $8$ .

$\frac{23 - 30}{40}$

Subtract $30$ from $23$ .

$\frac{- 7}{40}$

Move the negative in front of the fraction.

$- \frac{7}{40}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{40}$

Decimal Form:

$- 0.175$

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

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