Pre-Algebra Examples

$\frac{- 7 x + 70}{- 42 x + 21}$

Step 1

Factor $- 7$ out of $- 7 x + 70$ .

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Step 1.1

Factor $- 7$ out of $- 7 x$ .

$\frac{- 7 (x) + 70}{- 42 x + 21}$

Step 1.2

Factor $- 7$ out of $70$ .

$\frac{- 7 (x) - 7 (- 10)}{- 42 x + 21}$

Step 1.3

Factor $- 7$ out of $- 7 (x) - 7 (- 10)$ .

$\frac{- 7 (x - 10)}{- 42 x + 21}$

Step 2

Factor $21$ out of $- 42 x + 21$ .

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Step 2.1

Factor $21$ out of $- 42 x$ .

$\frac{- 7 (x - 10)}{21 (- 2 x) + 21}$

Step 2.2

Factor $21$ out of $21$ .

$\frac{- 7 (x - 10)}{21 (- 2 x) + 21 (1)}$

Step 2.3

Factor $21$ out of $21 (- 2 x) + 21 (1)$ .

$\frac{- 7 (x - 10)}{21 (- 2 x + 1)}$

Step 3

Reduce the expression $\frac{- 7 (x - 10)}{21 (- 2 x + 1)}$ by cancelling the common factors.

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Step 3.1

Factor $7$ out of $- 7 (x - 10)$ .

$\frac{7 (- (x - 10))}{21 (- 2 x + 1)}$

Step 3.2

Factor $7$ out of $21 (- 2 x + 1)$ .

$\frac{7 (- (x - 10))}{7 (3 (- 2 x + 1))}$

Step 3.3

Cancel the common factor.

$\frac{7 (- (x - 10))}{7 (3 (- 2 x + 1))}$

Step 3.4

Rewrite the expression.

$\frac{- (x - 10)}{3 (- 2 x + 1)}$