Evaluate (3/8-1/4)/(7/5)

$\frac{\frac{3}{8} - \frac{1}{4}}{\frac{7}{5}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(\frac{3}{8} - \frac{1}{4}) \frac{5}{7}$

Step 2

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{3}{8} - \frac{1}{4} \cdot \frac{2}{2}) \frac{5}{7}$

Step 3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$(\frac{3}{8} - \frac{2}{4 \cdot 2}) \frac{5}{7}$

Multiply $4$ by $2$ .

$(\frac{3}{8} - \frac{2}{8}) \frac{5}{7}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 - 2}{8} \cdot \frac{5}{7}$

Step 5

Subtract $2$ from $3$ .

$\frac{1}{8} \cdot \frac{5}{7}$

Step 6

Multiply $\frac{1}{8} \cdot \frac{5}{7}$ .

Multiply $\frac{1}{8}$ by $\frac{5}{7}$ .

$\frac{5}{8 \cdot 7}$

Multiply $8$ by $7$ .

$\frac{5}{56}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{56}$

Decimal Form:

$0.08928571 \dots$