Basic Math Examples

$1.25 y \div 30 \div 1.25 = 30$

Step 1

Multiply both sides of the equation by $\frac{1.25}{\frac{1.25}{30}}$ .

$\frac{1.25}{\frac{1.25}{30}} \cdot 1.25 y \div 30 \div 1.25 = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

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 $\frac{1.25}{\frac{1.25}{30}} \cdot 1.25 y \div 30 \div 1.25$ .

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Step 2.1.1.1

Multiply the numerator by the reciprocal of the denominator.

$1.25 (\frac{30}{1.25}) 1.25 y \div 30 \div 1.25 = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.1.1.2

Cancel the common factor of $1.25$ .

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Step 2.1.1.2.1

Cancel the common factor.

$1.25 (\frac{30}{1.25}) 1.25 y \div 30 \div 1.25 = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.1.1.2.2

Rewrite the expression.

$30 1.25 y \div 30 \div 1.25 = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.1.1.3

Rewrite the division as a fraction.

$30 \frac{1.25 y \div 30}{1.25} = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.1.1.4

Cancel the common factor of $1.25$ .

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Step 2.1.1.4.1

Factor $1.25$ out of $30$ .

$1.25 (24) \frac{1.25 y \div 30}{1.25} = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.1.1.4.2

Cancel the common factor.

$1.25 \cdot 24 \frac{1.25 y \div 30}{1.25} = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.1.1.4.3

Rewrite the expression.

$24 1.25 y \div 30 = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.1.1.5

Combine $24$ and $1.25 y \div 30$ .

$\frac{24 (1.25 y)}{30} = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.1.1.6

Multiply $1.25$ by $24$ .

$\frac{30 y}{30} = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.1.1.7

Cancel the common factor of $30$ and $30$ .

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Step 2.1.1.7.1

Cancel the common factor.

$\frac{30 y}{30} = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.1.1.7.2

Divide $y$ by $1$ .

$y = \frac{1.25}{\frac{1.25}{30}} \cdot 30$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{1.25}{\frac{1.25}{30}} \cdot 30$ .

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Step 2.2.1.1

Divide $1.25$ by $30$ .

$y = \frac{1.25}{0.041\overline{6}} \cdot 30$

Step 2.2.1.2

Divide $1.25$ by $0.041\overline{6}$ .

$y = 30 \cdot 30$

Step 2.2.1.3

Multiply $30$ by $30$ .

$y = 900$