Basic Math Examples

$\frac{3}{4} - \frac{1}{2} \cdot (\frac{1}{3} + \frac{3}{4})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3}{4} - \frac{1}{2} \cdot (\frac{1}{3} \cdot \frac{4}{4} + \frac{3}{4})$

Step 1.2

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

$\frac{3}{4} - \frac{1}{2} \cdot (\frac{1}{3} \cdot \frac{4}{4} + \frac{3}{4} \cdot \frac{3}{3})$

Step 1.3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 1.3.1

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$\frac{3}{4} - \frac{1}{2} \cdot (\frac{4}{3 \cdot 4} + \frac{3}{4} \cdot \frac{3}{3})$

Step 1.3.2

Multiply $3$ by $4$ .

$\frac{3}{4} - \frac{1}{2} \cdot (\frac{4}{12} + \frac{3}{4} \cdot \frac{3}{3})$

Step 1.3.3

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

$\frac{3}{4} - \frac{1}{2} \cdot (\frac{4}{12} + \frac{3 \cdot 3}{4 \cdot 3})$

Step 1.3.4

Multiply $4$ by $3$ .

$\frac{3}{4} - \frac{1}{2} \cdot (\frac{4}{12} + \frac{3 \cdot 3}{12})$

Step 1.4

Combine the numerators over the common denominator.

$\frac{3}{4} - \frac{1}{2} \cdot \frac{4 + 3 \cdot 3}{12}$

Step 1.5

Simplify the numerator.

Tap for more steps...

Step 1.5.1

Multiply $3$ by $3$ .

$\frac{3}{4} - \frac{1}{2} \cdot \frac{4 + 9}{12}$

Step 1.5.2

Add $4$ and $9$ .

$\frac{3}{4} - \frac{1}{2} \cdot \frac{13}{12}$

Step 1.6

Multiply $- \frac{1}{2} \cdot \frac{13}{12}$ .

Tap for more steps...

Step 1.6.1

Multiply $\frac{13}{12}$ by $\frac{1}{2}$ .

$\frac{3}{4} - \frac{13}{12 \cdot 2}$

Step 1.6.2

Multiply $12$ by $2$ .

$\frac{3}{4} - \frac{13}{24}$

Step 2

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{3}{4} \cdot \frac{6}{6} - \frac{13}{24}$

Step 3

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.1

Multiply $\frac{3}{4}$ by $\frac{6}{6}$ .

$\frac{3 \cdot 6}{4 \cdot 6} - \frac{13}{24}$

Step 3.2

Multiply $4$ by $6$ .

$\frac{3 \cdot 6}{24} - \frac{13}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 6 - 13}{24}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $3$ by $6$ .

$\frac{18 - 13}{24}$

Step 5.2

Subtract $13$ from $18$ .

$\frac{5}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{24}$

Decimal Form:

$0.208\overline{3}$