Pre-Algebra Examples

$\frac{4}{25} + \frac{6}{25} + \frac{8}{25} + \frac{1}{5} + \frac{3}{25}$

Step 1

Combine the numerators over the common denominator.

$\frac{4 + 6 + 8 + 3}{25} + \frac{1}{5}$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $4$ and $6$ .

$\frac{10 + 8 + 3}{25} + \frac{1}{5}$

Step 2.2

Add $10$ and $8$ .

$\frac{18 + 3}{25} + \frac{1}{5}$

Step 2.3

Add $18$ and $3$ .

$\frac{21}{25} + \frac{1}{5}$

Step 3

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

$\frac{21}{25} + \frac{1}{5} \cdot \frac{5}{5}$

Step 4

Write each expression with a common denominator of $25$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

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

$\frac{21}{25} + \frac{5}{5 \cdot 5}$

Step 4.2

Multiply $5$ by $5$ .

$\frac{21}{25} + \frac{5}{25}$

Step 5

Combine the numerators over the common denominator.

$\frac{21 + 5}{25}$

Step 6

Add $21$ and $5$ .

$\frac{26}{25}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{26}{25}$

Decimal Form:

$1.04$

Mixed Number Form:

$1 \frac{1}{25}$