Basic Math Examples

$\frac{6 b^{2}}{21 b - 28} \div \frac{6 b^{2}}{15 b - 20}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{6 b^{2}}{21 b - 28} \cdot \frac{15 b - 20}{6 b^{2}}$

Step 2

Cancel the common factor of $6 b^{2}$ .

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Step 2.1

Cancel the common factor.

$\frac{6 b^{2}}{21 b - 28} \cdot \frac{15 b - 20}{6 b^{2}}$

Step 2.2

Rewrite the expression.

$\frac{1}{21 b - 28} (15 b - 20)$

Step 3

Factor $7$ out of $21 b - 28$ .

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Step 3.1

Factor $7$ out of $21 b$ .

$\frac{1}{7 (3 b) - 28} (15 b - 20)$

Step 3.2

Factor $7$ out of $- 28$ .

$\frac{1}{7 (3 b) + 7 (- 4)} (15 b - 20)$

Step 3.3

Factor $7$ out of $7 (3 b) + 7 (- 4)$ .

$\frac{1}{7 (3 b - 4)} (15 b - 20)$

Step 4

Multiply $\frac{1}{7 (3 b - 4)}$ by $15 b - 20$ .

$\frac{15 b - 20}{7 (3 b - 4)}$

Step 5

Factor $5$ out of $15 b - 20$ .

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Step 5.1

Factor $5$ out of $15 b$ .

$\frac{5 (3 b) - 20}{7 (3 b - 4)}$

Step 5.2

Factor $5$ out of $- 20$ .

$\frac{5 (3 b) + 5 (- 4)}{7 (3 b - 4)}$

Step 5.3

Factor $5$ out of $5 (3 b) + 5 (- 4)$ .

$\frac{5 (3 b - 4)}{7 (3 b - 4)}$

Step 6

Cancel the common factor of $3 b - 4$ .

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Step 6.1

Cancel the common factor.

$\frac{5 (3 b - 4)}{7 (3 b - 4)}$

Step 6.2

Rewrite the expression.

$\frac{5}{7}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{7}$

Decimal Form:

$0.\overline{714285}$