Pre-Algebra Examples

$\frac{7 x}{58 y} \div \frac{- 53 x}{24 y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7 x}{58 y} \cdot \frac{24 y}{- 53 x}$

Step 2

Cancel the common factor of $x$ .

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Step 2.1

Factor $x$ out of $7 x$ .

$\frac{x \cdot 7}{58 y} \cdot \frac{24 y}{- 53 x}$

Step 2.2

Factor $x$ out of $- 53 x$ .

$\frac{x \cdot 7}{58 y} \cdot \frac{24 y}{x \cdot - 53}$

Step 2.3

Cancel the common factor.

$\frac{x \cdot 7}{58 y} \cdot \frac{24 y}{x \cdot - 53}$

Step 2.4

Rewrite the expression.

$\frac{7}{58 y} \cdot \frac{24 y}{- 53}$

Step 3

Cancel the common factor of $2 y$ .

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Step 3.1

Factor $2 y$ out of $58 y$ .

$\frac{7}{2 y (29)} \cdot \frac{24 y}{- 53}$

Step 3.2

Factor $2 y$ out of $24 y$ .

$\frac{7}{2 y (29)} \cdot \frac{2 y (12)}{- 53}$

Step 3.3

Cancel the common factor.

$\frac{7}{2 y \cdot 29} \cdot \frac{2 y \cdot 12}{- 53}$

Step 3.4

Rewrite the expression.

$\frac{7}{29} \cdot \frac{12}{- 53}$

Step 4

Multiply $\frac{7}{29}$ by $\frac{12}{- 53}$ .

$\frac{7 \cdot 12}{29 \cdot - 53}$

Step 5

Multiply $7$ by $12$ .

$\frac{84}{29 \cdot - 53}$

Step 6

Multiply $29$ by $- 53$ .

$\frac{84}{- 1537}$

Step 7

Move the negative in front of the fraction.

$- \frac{84}{1537}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{84}{1537}$

Decimal Form:

$- 0.05465191 \dots$