Basic Math Examples

$\frac{19}{25} \cdot \frac{y}{y} = \frac{57}{75}$

Step 1

Multiply both sides of the equation by $\frac{25}{19}$ .

$\frac{25}{19} (\frac{19}{25} \cdot \frac{y}{y}) = \frac{25}{19} \cdot \frac{57}{75}$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{25}{19} (\frac{19}{25} \cdot \frac{y}{y})$ .

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Step 2.1.1.1

Cancel the common factor of $y$ .

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Step 2.1.1.1.1

Cancel the common factor.

$\frac{25}{19} (\frac{19}{25} \cdot \frac{y}{y}) = \frac{25}{19} \cdot \frac{57}{75}$

Step 2.1.1.1.2

Rewrite the expression.

$\frac{25}{19} (\frac{19}{25} \cdot 1) = \frac{25}{19} \cdot \frac{57}{75}$

Step 2.1.1.2

Multiply $\frac{19}{25}$ by $1$ .

$\frac{25}{19} \cdot \frac{19}{25} = \frac{25}{19} \cdot \frac{57}{75}$

Step 2.1.1.3

Cancel the common factor of $25$ .

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Step 2.1.1.3.1

Cancel the common factor.

$\frac{25}{19} \cdot \frac{19}{25} = \frac{25}{19} \cdot \frac{57}{75}$

Step 2.1.1.3.2

Rewrite the expression.

$\frac{1}{19} \cdot 19 = \frac{25}{19} \cdot \frac{57}{75}$

Step 2.1.1.4

Cancel the common factor of $19$ .

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Step 2.1.1.4.1

Cancel the common factor.

$\frac{1}{19} \cdot 19 = \frac{25}{19} \cdot \frac{57}{75}$

Step 2.1.1.4.2

Rewrite the expression.

$1 = \frac{25}{19} \cdot \frac{57}{75}$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{25}{19} \cdot \frac{57}{75}$ .

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Step 2.2.1.1

Cancel the common factor of $25$ .

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Step 2.2.1.1.1

Factor $25$ out of $75$ .

$1 = \frac{25}{19} \cdot \frac{57}{25 (3)}$

Step 2.2.1.1.2

Cancel the common factor.

$1 = \frac{25}{19} \cdot \frac{57}{25 \cdot 3}$

Step 2.2.1.1.3

Rewrite the expression.

$1 = \frac{1}{19} \cdot \frac{57}{3}$

Step 2.2.1.2

Cancel the common factor of $19$ .

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Step 2.2.1.2.1

Factor $19$ out of $57$ .

$1 = \frac{1}{19} \cdot \frac{19 (3)}{3}$

Step 2.2.1.2.2

Cancel the common factor.

$1 = \frac{1}{19} \cdot \frac{19 \cdot 3}{3}$

Step 2.2.1.2.3

Rewrite the expression.

$1 = \frac{3}{3}$

Step 2.2.1.3

Divide $3$ by $3$ .

$1 = 1$

Step 3

Since $1 = 1$ , the equation will always be true for any value of $y$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$