Basic Math Examples

$\frac{25}{100} + \frac{a}{120}$

Step 1

Cancel the common factor of $25$ and $100$ .

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Step 1.1

Factor $25$ out of $25$ .

$\frac{25 (1)}{100} + \frac{a}{120}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $25$ out of $100$ .

$\frac{25 \cdot 1}{25 \cdot 4} + \frac{a}{120}$

Step 1.2.2

Cancel the common factor.

$\frac{25 \cdot 1}{25 \cdot 4} + \frac{a}{120}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{4} + \frac{a}{120}$

Step 2

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{30}{30}$ .

$\frac{1}{4} \cdot \frac{30}{30} + \frac{a}{120}$

Step 3

Write each expression with a common denominator of $120$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{4}$ by $\frac{30}{30}$ .

$\frac{30}{4 \cdot 30} + \frac{a}{120}$

Step 3.2

Multiply $4$ by $30$ .

$\frac{30}{120} + \frac{a}{120}$

Step 4

Combine the numerators over the common denominator.

$\frac{30 + a}{120}$