Basic Math Examples

\frac{1}{4} + \frac{4}{3}

$\frac{1}{4} + \frac{4}{3}$

Step 1

To write

\frac{1}{4}

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

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{4} \cdot \frac{3}{3} + \frac{4}{3}

$\frac{1}{4} \cdot \frac{3}{3} + \frac{4}{3}$

Step 2

To write

\frac{4}{3}

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

\frac{4}{4}

$\frac{4}{4}$ .

\frac{1}{4} \cdot \frac{3}{3} + \frac{4}{3} \cdot \frac{4}{4}

$\frac{1}{4} \cdot \frac{3}{3} + \frac{4}{3} \cdot \frac{4}{4}$

Step 3

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 3.1

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{3}{4 \cdot 3} + \frac{4}{3} \cdot \frac{4}{4}

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

Step 3.2

Multiply

4

$4$ by

3

$3$ .

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

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

Step 3.3

Multiply

\frac{4}{3}

$\frac{4}{3}$ by

\frac{4}{4}

$\frac{4}{4}$ .

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

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

Step 3.4

Multiply

3

$3$ by

4

$4$ .

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

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

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

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

Step 4

Combine the numerators over the common denominator.

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

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

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply

4

$4$ by

4

$4$ .

\frac{3 + 16}{12}

$\frac{3 + 16}{12}$

Step 5.2

Add

3

$3$ and

16

$16$ .

\frac{19}{12}

$\frac{19}{12}$

\frac{19}{12}

$\frac{19}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{19}{12}

$\frac{19}{12}$

Decimal Form:

1.58 ¯ 3

$1.58\overline{3}$

Mixed Number Form:

1 \frac{7}{12}

$1 \frac{7}{12}$