Basic Math Examples

$\frac{5}{7 a} \cdot \frac{3 a}{20} = \frac{3 a}{28 a}$

Step 1

Factor each term.

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Step 1.1

Multiply $\frac{5}{7 a}$ by $\frac{3 a}{20}$ .

$\frac{5}{7 a} \cdot \frac{3 a}{20} = \frac{3 a}{28 a}$

Step 1.2

Multiply $\frac{5}{7 a}$ by $\frac{3 a}{20}$ .

$\frac{5 (3 a)}{7 a \cdot 20} = \frac{3 a}{28 a}$

Step 1.3

Reduce the expression $\frac{3 a}{28 a}$ by cancelling the common factors.

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Step 1.3.1

Cancel the common factor.

$\frac{5 (3 a)}{7 a \cdot 20} = \frac{3 a}{28 a}$

Step 1.3.2

Rewrite the expression.

$\frac{5 (3 a)}{7 a \cdot 20} = \frac{3}{28}$

Step 1.4

Reduce the expression $\frac{5 (3 a)}{7 a \cdot 20}$ by cancelling the common factors.

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Step 1.4.1

Factor $5$ out of $7 a \cdot 20$ .

$\frac{5 (3 a)}{5 (7 a \cdot 4)} = \frac{3}{28}$

Step 1.4.2

Cancel the common factor.

$\frac{5 (3 a)}{5 (7 a \cdot 4)} = \frac{3}{28}$

Step 1.4.3

Rewrite the expression.

$\frac{3 a}{7 a \cdot 4} = \frac{3}{28}$

Step 1.5

Reduce the expression $\frac{3 a}{7 a \cdot 4}$ by cancelling the common factors.

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Step 1.5.1

Cancel the common factor.

$\frac{3 a}{7 a \cdot 4} = \frac{3}{28}$

Step 1.5.2

Rewrite the expression.

$\frac{3}{7 \cdot 4} = \frac{3}{28}$

Step 1.6

Multiply $7$ by $4$ .

$\frac{3}{28} = \frac{3}{28}$

Step 2

Since $\frac{3}{28} = \frac{3}{28}$ , the equation will always be true for any value of $a$ .

All real numbers

Step 3

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$