Basic Math Examples

$\frac{4}{9 a} + \frac{7}{6 a}$

Step 1

To write $\frac{4}{9 a}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{4}{9 a} \cdot \frac{2}{2} + \frac{7}{6 a}$

Step 2

To write $\frac{7}{6 a}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{4}{9 a} \cdot \frac{2}{2} + \frac{7}{6 a} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of $18 a$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{4}{9 a}$ by $\frac{2}{2}$ .

$\frac{4 \cdot 2}{9 a \cdot 2} + \frac{7}{6 a} \cdot \frac{3}{3}$

Step 3.2

Multiply $2$ by $9$ .

$\frac{4 \cdot 2}{18 a} + \frac{7}{6 a} \cdot \frac{3}{3}$

Step 3.3

Multiply $\frac{7}{6 a}$ by $\frac{3}{3}$ .

$\frac{4 \cdot 2}{18 a} + \frac{7 \cdot 3}{6 a \cdot 3}$

Step 3.4

Multiply $3$ by $6$ .

$\frac{4 \cdot 2}{18 a} + \frac{7 \cdot 3}{18 a}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 + 7 \cdot 3}{18 a}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $4$ by $2$ .

$\frac{8 + 7 \cdot 3}{18 a}$

Step 5.2

Multiply $7$ by $3$ .

$\frac{8 + 21}{18 a}$

Step 5.3

Add $8$ and $21$ .

$\frac{29}{18 a}$