Basic Math Examples

$\frac{q}{1998} \div \frac{8}{138700000}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{q}{1998} \cdot \frac{138700000}{8}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $1998$ .

$\frac{q}{2 (999)} \cdot \frac{138700000}{8}$

Step 2.2

Factor $2$ out of $138700000$ .

$\frac{q}{2 \cdot 999} \cdot \frac{2 \cdot 69350000}{8}$

Step 2.3

Cancel the common factor.

$\frac{q}{2 \cdot 999} \cdot \frac{2 \cdot 69350000}{8}$

Step 2.4

Rewrite the expression.

$\frac{q}{999} \cdot \frac{69350000}{8}$

Step 3

Multiply $\frac{q}{999}$ by $\frac{69350000}{8}$ .

$\frac{q \cdot 69350000}{999 \cdot 8}$

Step 4

Multiply $999$ by $8$ .

$\frac{q \cdot 69350000}{7992}$

Step 5

Cancel the common factor of $69350000$ and $7992$ .

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Step 5.1

Factor $8$ out of $q \cdot 69350000$ .

$\frac{8 (q \cdot 8668750)}{7992}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $8$ out of $7992$ .

$\frac{8 (q \cdot 8668750)}{8 (999)}$

Step 5.2.2

Cancel the common factor.

$\frac{8 (q \cdot 8668750)}{8 \cdot 999}$

Step 5.2.3

Rewrite the expression.

$\frac{q \cdot 8668750}{999}$

Step 6

Move $8668750$ to the left of $q$ .

$\frac{8668750 q}{999}$