Evaluate 3/4-1/7

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

Step 1

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{3}{4} \cdot \frac{7}{7} - \frac{1}{7}$

Step 2

To write $- \frac{1}{7}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3}{4} \cdot \frac{7}{7} - \frac{1}{7} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of $28$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{4}$ by $\frac{7}{7}$ .

$\frac{3 \cdot 7}{4 \cdot 7} - \frac{1}{7} \cdot \frac{4}{4}$

Multiply $4$ by $7$ .

$\frac{3 \cdot 7}{28} - \frac{1}{7} \cdot \frac{4}{4}$

Multiply $\frac{1}{7}$ by $\frac{4}{4}$ .

$\frac{3 \cdot 7}{28} - \frac{4}{7 \cdot 4}$

Multiply $7$ by $4$ .

$\frac{3 \cdot 7}{28} - \frac{4}{28}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 7 - 4}{28}$

Step 5

Simplify the numerator.

Multiply $3$ by $7$ .

$\frac{21 - 4}{28}$

Subtract $4$ from $21$ .

$\frac{17}{28}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{28}$

Decimal Form:

$0.60714285 \dots$