Simplify 3/4-3/24

$\frac{3}{4} - \frac{3}{24}$

Step 1

Cancel the common factor of $3$ and $24$ .

Factor $3$ out of $3$ .

$\frac{3}{4} - \frac{3 (1)}{24}$

Cancel the common factors.

Factor $3$ out of $24$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3}{4} \cdot \frac{2}{2} - \frac{1}{8}$

Step 3

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

Multiply $\frac{3}{4}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 2}{4 \cdot 2} - \frac{1}{8}$

Multiply $4$ by $2$ .

$\frac{3 \cdot 2}{8} - \frac{1}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 - 1}{8}$

Step 5

Simplify the numerator.

Multiply $3$ by $2$ .

$\frac{6 - 1}{8}$

Subtract $1$ from $6$ .

$\frac{5}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{8}$

Decimal Form:

$0.625$