Basic Math Examples

$(\frac{9}{2} + \frac{1}{3}) (\frac{3}{8} + \frac{1}{2})$

Step 1

To write $\frac{9}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(\frac{9}{2} \cdot \frac{3}{3} + \frac{1}{3}) (\frac{3}{8} + \frac{1}{2})$

Step 2

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{9}{2} \cdot \frac{3}{3} + \frac{1}{3} \cdot \frac{2}{2}) (\frac{3}{8} + \frac{1}{2})$

Step 3

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.1

Multiply $\frac{9}{2}$ by $\frac{3}{3}$ .

$(\frac{9 \cdot 3}{2 \cdot 3} + \frac{1}{3} \cdot \frac{2}{2}) (\frac{3}{8} + \frac{1}{2})$

Step 3.2

Multiply $2$ by $3$ .

$(\frac{9 \cdot 3}{6} + \frac{1}{3} \cdot \frac{2}{2}) (\frac{3}{8} + \frac{1}{2})$

Step 3.3

Multiply $\frac{1}{3}$ by $\frac{2}{2}$ .

$(\frac{9 \cdot 3}{6} + \frac{2}{3 \cdot 2}) (\frac{3}{8} + \frac{1}{2})$

Step 3.4

Multiply $3$ by $2$ .

$(\frac{9 \cdot 3}{6} + \frac{2}{6}) (\frac{3}{8} + \frac{1}{2})$

Step 4

Combine the numerators over the common denominator.

$\frac{9 \cdot 3 + 2}{6} (\frac{3}{8} + \frac{1}{2})$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $9$ by $3$ .

$\frac{27 + 2}{6} (\frac{3}{8} + \frac{1}{2})$

Step 5.2

Add $27$ and $2$ .

$\frac{29}{6} (\frac{3}{8} + \frac{1}{2})$

Step 6

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

$\frac{29}{6} (\frac{3}{8} + \frac{1}{2} \cdot \frac{4}{4})$

Step 7

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

Tap for more steps...

Step 7.1

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

$\frac{29}{6} (\frac{3}{8} + \frac{4}{2 \cdot 4})$

Step 7.2

Multiply $2$ by $4$ .

$\frac{29}{6} (\frac{3}{8} + \frac{4}{8})$

Step 8

Combine the numerators over the common denominator.

$\frac{29}{6} \cdot \frac{3 + 4}{8}$

Step 9

Add $3$ and $4$ .

$\frac{29}{6} \cdot \frac{7}{8}$

Step 10

Multiply $\frac{29}{6} \cdot \frac{7}{8}$ .

Tap for more steps...

Step 10.1

Multiply $\frac{29}{6}$ by $\frac{7}{8}$ .

$\frac{29 \cdot 7}{6 \cdot 8}$

Step 10.2

Multiply $29$ by $7$ .

$\frac{203}{6 \cdot 8}$

Step 10.3

Multiply $6$ by $8$ .

$\frac{203}{48}$

Step 11

The result can be shown in multiple forms.

Exact Form:

$\frac{203}{48}$

Decimal Form:

$4.2291\overline{6}$

Mixed Number Form:

$4 \frac{11}{48}$