Basic Math Examples

$\frac{- 20 + 5 y}{7} \div \frac{121 y - 484}{49}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{- 20 + 5 y}{7} \cdot \frac{49}{121 y - 484}$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $7$ .

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Step 2.1.1

Factor $7$ out of $49$ .

$\frac{- 20 + 5 y}{7} \cdot \frac{7 (7)}{121 y - 484}$

Step 2.1.2

Cancel the common factor.

$\frac{- 20 + 5 y}{7} \cdot \frac{7 \cdot 7}{121 y - 484}$

Step 2.1.3

Rewrite the expression.

$(- 20 + 5 y) \frac{7}{121 y - 484}$

Step 2.2

Factor $121$ out of $121 y - 484$ .

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Step 2.2.1

Factor $121$ out of $121 y$ .

$(- 20 + 5 y) \frac{7}{121 (y) - 484}$

Step 2.2.2

Factor $121$ out of $- 484$ .

$(- 20 + 5 y) \frac{7}{121 y + 121 \cdot - 4}$

Step 2.2.3

Factor $121$ out of $121 y + 121 \cdot - 4$ .

$(- 20 + 5 y) \frac{7}{121 (y - 4)}$

Step 2.3

Multiply $- 20 + 5 y$ by $\frac{7}{121 (y - 4)}$ .

$\frac{(- 20 + 5 y) \cdot 7}{121 (y - 4)}$

Step 3

Simplify the numerator.

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Step 3.1

Factor $5$ out of $- 20 + 5 y$ .

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Step 3.1.1

Factor $5$ out of $- 20$ .

$\frac{(5 \cdot - 4 + 5 y) \cdot 7}{121 (y - 4)}$

Step 3.1.2

Factor $5$ out of $5 \cdot - 4 + 5 y$ .

$\frac{5 (- 4 + y) \cdot 7}{121 (y - 4)}$

Step 3.2

Multiply $7$ by $5$ .

$\frac{35 (- 4 + y)}{121 (y - 4)}$

Step 4

Cancel the common factor of $- 4 + y$ and $y - 4$ .

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Step 4.1

Reorder terms.

$\frac{35 (y - 4)}{121 (y - 4)}$

Step 4.2

Cancel the common factor.

$\frac{35 (y - 4)}{121 (y - 4)}$

Step 4.3

Rewrite the expression.

$\frac{35}{121}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{121}$

Decimal Form:

$0.28925619 \dots$