Basic Math Examples

$15 a \div \frac{27}{8}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$15 a \frac{8}{27}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $15 a$ .

$3 (5 a) \frac{8}{27}$

Step 2.2

Factor $3$ out of $27$ .

$3 (5 a) \frac{8}{3 (9)}$

Step 2.3

Cancel the common factor.

$3 (5 a) \frac{8}{3 \cdot 9}$

Step 2.4

Rewrite the expression.

$5 a \frac{8}{9}$

Step 3

Combine $5$ and $\frac{8}{9}$ .

$a \frac{5 \cdot 8}{9}$

Step 4

Multiply $5$ by $8$ .

$a \frac{40}{9}$

Step 5

Combine $a$ and $\frac{40}{9}$ .

$\frac{a \cdot 40}{9}$

Step 6

Move $40$ to the left of $a$ .

$\frac{40 a}{9}$