Basic Math Examples

$\frac{1}{4} + \frac{4}{5}$

Step 1

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{1}{4} \cdot \frac{5}{5} + \frac{4}{5}$

Step 2

To write $\frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{1}{4} \cdot \frac{5}{5} + \frac{4}{5} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{4}$ by $\frac{5}{5}$ .

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

Step 3.2

Multiply $4$ by $5$ .

$\frac{5}{20} + \frac{4}{5} \cdot \frac{4}{4}$

Step 3.3

Multiply $\frac{4}{5}$ by $\frac{4}{4}$ .

$\frac{5}{20} + \frac{4 \cdot 4}{5 \cdot 4}$

Step 3.4

Multiply $5$ by $4$ .

$\frac{5}{20} + \frac{4 \cdot 4}{20}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 + 4 \cdot 4}{20}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $4$ by $4$ .

$\frac{5 + 16}{20}$

Step 5.2

Add $5$ and $16$ .

$\frac{21}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{20}$

Decimal Form:

$1.05$

Mixed Number Form:

$1 \frac{1}{20}$