Basic Math Examples

$28 \frac{30}{800} - (54.2 \div 95 y)$

Step 1

Convert $28 \frac{30}{800}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$28 + \frac{30}{800} - (54.2 \div 95 y)$

Step 1.2

Add $28$ and $\frac{30}{800}$ .

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Step 1.2.1

To write $28$ as a fraction with a common denominator, multiply by $\frac{800}{800}$ .

$28 \cdot \frac{800}{800} + \frac{30}{800} - (54.2 \div 95 y)$

Step 1.2.2

Combine $28$ and $\frac{800}{800}$ .

$\frac{28 \cdot 800}{800} + \frac{30}{800} - (54.2 \div 95 y)$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{28 \cdot 800 + 30}{800} - (54.2 \div 95 y)$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $28$ by $800$ .

$\frac{22400 + 30}{800} - (54.2 \div 95 y)$

Step 1.2.4.2

Add $22400$ and $30$ .

$\frac{22430}{800} - (54.2 \div 95 y)$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $22430$ and $800$ .

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Step 2.1.1

Factor $10$ out of $22430$ .

$\frac{10 (2243)}{800} - (54.2 \div 95 y)$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $10$ out of $800$ .

$\frac{10 \cdot 2243}{10 \cdot 80} - (54.2 \div 95 y)$

Step 2.1.2.2

Cancel the common factor.

$\frac{10 \cdot 2243}{10 \cdot 80} - (54.2 \div 95 y)$

Step 2.1.2.3

Rewrite the expression.

$\frac{2243}{80} - (54.2 \div 95 y)$

Step 2.2

Rewrite the division as a fraction.

$\frac{2243}{80} - \frac{54.2}{95 y}$

Step 2.3

Factor $54.2$ out of $54.2$ .

$\frac{2243}{80} - \frac{54.2 (1)}{95 y}$

Step 2.4

Factor $95$ out of $95 y$ .

$\frac{2243}{80} - \frac{54.2 (1)}{95 (y)}$

Step 2.5

Separate fractions.

$\frac{2243}{80} - (\frac{54.2}{95} \cdot \frac{1}{y})$

Step 2.6

Divide $54.2$ by $95$ .

$\frac{2243}{80} - (0.57052631 \frac{1}{y})$

Step 2.7

Combine $0.57052631$ and $\frac{1}{y}$ .

$\frac{2243}{80} - \frac{0.57052631}{y}$