Basic Math Examples

\frac{2}{3} + \frac{7}{12}

$\frac{2}{3} + \frac{7}{12}$

Step 1

To write

\frac{2}{3}

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

\frac{4}{4}

$\frac{4}{4}$ .

\frac{2}{3} \cdot \frac{4}{4} + \frac{7}{12}

$\frac{2}{3} \cdot \frac{4}{4} + \frac{7}{12}$

Step 2

Write each expression with a common denominator of

12

$12$ , by multiplying each by an appropriate factor of

1

$1$ .

Tap for more steps...

Step 2.1

Multiply

\frac{2}{3}

$\frac{2}{3}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{2 \cdot 4}{3 \cdot 4} + \frac{7}{12}

$\frac{2 \cdot 4}{3 \cdot 4} + \frac{7}{12}$

Step 2.2

Multiply

3

$3$ by

4

$4$ .

\frac{2 \cdot 4}{12} + \frac{7}{12}

$\frac{2 \cdot 4}{12} + \frac{7}{12}$

\frac{2 \cdot 4}{12} + \frac{7}{12}

$\frac{2 \cdot 4}{12} + \frac{7}{12}$

Step 3

Combine the numerators over the common denominator.

\frac{2 \cdot 4 + 7}{12}

$\frac{2 \cdot 4 + 7}{12}$

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Multiply

2

$2$ by

4

$4$ .

\frac{8 + 7}{12}

$\frac{8 + 7}{12}$

Step 4.2

Add

8

$8$ and

7

$7$ .

\frac{15}{12}

$\frac{15}{12}$

\frac{15}{12}

$\frac{15}{12}$

Step 5

Cancel the common factor of

15

$15$ and

12

$12$ .

Tap for more steps...

Step 5.1

Factor

3

$3$ out of

15

$15$ .

\frac{3 (5)}{12}

$\frac{3 (5)}{12}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Factor

3

$3$ out of

12

$12$ .

\frac{3 \cdot 5}{3 \cdot 4}

$\frac{3 \cdot 5}{3 \cdot 4}$

Step 5.2.2

Cancel the common factor.

$\frac{3 \cdot 5}{3 \cdot 4}$

Step 5.2.3

Rewrite the expression.

$\frac{5}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$