Basic Math Examples

$\frac{\frac{5 a - 35}{3}}{\frac{a - 7}{21}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{5 a - 35}{3} \cdot \frac{21}{a - 7}$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Factor $3$ out of $21$ .

$\frac{5 a - 35}{3} \cdot \frac{3 (7)}{a - 7}$

Step 2.1.2

Cancel the common factor.

$\frac{5 a - 35}{3} \cdot \frac{3 \cdot 7}{a - 7}$

Step 2.1.3

Rewrite the expression.

$(5 a - 35) \frac{7}{a - 7}$

Step 2.2

Multiply $5 a - 35$ by $\frac{7}{a - 7}$ .

$\frac{(5 a - 35) \cdot 7}{a - 7}$

Step 3

Simplify the numerator.

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Step 3.1

Factor $5$ out of $5 a - 35$ .

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Step 3.1.1

Factor $5$ out of $5 a$ .

$\frac{(5 (a) - 35) \cdot 7}{a - 7}$

Step 3.1.2

Factor $5$ out of $- 35$ .

$\frac{(5 a + 5 \cdot - 7) \cdot 7}{a - 7}$

Step 3.1.3

Factor $5$ out of $5 a + 5 \cdot - 7$ .

$\frac{5 (a - 7) \cdot 7}{a - 7}$

Step 3.2

Multiply $7$ by $5$ .

$\frac{35 (a - 7)}{a - 7}$

Step 4

Cancel the common factor of $a - 7$ .

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Step 4.1

Cancel the common factor.

$\frac{35 (a - 7)}{a - 7}$

Step 4.2

Divide $35$ by $1$ .

$35$