Basic Math Examples

$\frac{4}{7} + \frac{3}{4}$

Step 1

To write

$\frac{4}{7}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

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

Step 2

To write

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

$\frac{7}{7}$ .

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

Step 3

Write each expression with a common denominator of

$28$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{4}{7}$ by

$\frac{4}{4}$ .

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

Step 3.2

Multiply

$7$ by

$4$ .

$\frac{4 \cdot 4}{28} + \frac{3}{4} \cdot \frac{7}{7}$

Step 3.3

Multiply

$\frac{3}{4}$ by

$\frac{7}{7}$ .

$\frac{4 \cdot 4}{28} + \frac{3 \cdot 7}{4 \cdot 7}$

Step 3.4

Multiply

$4$ by

$7$ .

$\frac{4 \cdot 4}{28} + \frac{3 \cdot 7}{28}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \cdot 4 + 3 \cdot 7}{28}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$4$ by

$4$ .

$\frac{16 + 3 \cdot 7}{28}$

Step 5.2

Multiply

$3$ by

$7$ .

$\frac{16 + 21}{28}$

Step 5.3

Add

$16$ and

$21$ .

$\frac{37}{28}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{28}$

Decimal Form:

$1.32142857 \dots$

Mixed Number Form:

$1 \frac{9}{28}$