Basic Math Examples

$\frac{9}{10} + \frac{3}{4}$

Step 1

To write

$\frac{9}{10}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{9}{10} \cdot \frac{2}{2} + \frac{3}{4}$

Step 2

To write

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

$\frac{5}{5}$ .

$\frac{9}{10} \cdot \frac{2}{2} + \frac{3}{4} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of

$20$ , by multiplying each by an appropriate factor of

$1$ .

Tap for more steps...

Step 3.1

Multiply

$\frac{9}{10}$ by

$\frac{2}{2}$ .

$\frac{9 \cdot 2}{10 \cdot 2} + \frac{3}{4} \cdot \frac{5}{5}$

Step 3.2

Multiply

$10$ by

$2$ .

$\frac{9 \cdot 2}{20} + \frac{3}{4} \cdot \frac{5}{5}$

Step 3.3

Multiply

$\frac{3}{4}$ by

$\frac{5}{5}$ .

$\frac{9 \cdot 2}{20} + \frac{3 \cdot 5}{4 \cdot 5}$

Step 3.4

Multiply

$4$ by

$5$ .

$\frac{9 \cdot 2}{20} + \frac{3 \cdot 5}{20}$

Step 4

Combine the numerators over the common denominator.

$\frac{9 \cdot 2 + 3 \cdot 5}{20}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply

$9$ by

$2$ .

$\frac{18 + 3 \cdot 5}{20}$

Step 5.2

Multiply

$3$ by

$5$ .

$\frac{18 + 15}{20}$

Step 5.3

Add

$18$ and

$15$ .

$\frac{33}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{33}{20}$

Decimal Form:

$1.65$

Mixed Number Form:

$1 \frac{13}{20}$