Basic Math Examples

$\frac{a}{20} + \frac{4}{5} = \frac{9}{5}$

Step 1

Move all terms not containing $a$ to the right side of the equation.

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Step 1.1

Subtract $\frac{4}{5}$ from both sides of the equation.

$\frac{a}{20} = \frac{9}{5} - \frac{4}{5}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{a}{20} = \frac{9 - 4}{5}$

Step 1.3

Subtract $4$ from $9$ .

$\frac{a}{20} = \frac{5}{5}$

Step 1.4

Divide $5$ by $5$ .

$\frac{a}{20} = 1$

Step 2

Multiply both sides of the equation by $20$ .

$20 \frac{a}{20} = 20 \cdot 1$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $20$ .

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Step 3.1.1.1

Cancel the common factor.

$20 \frac{a}{20} = 20 \cdot 1$

Step 3.1.1.2

Rewrite the expression.

$a = 20 \cdot 1$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $20$ by $1$ .

$a = 20$