Basic Math Examples

$80 - 15 - 7.5 - 3 \frac{3}{4}$

Step 1

Convert $3 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

$80 - 15 - 7.5 - (3 + \frac{3}{4})$

Step 1.2

Add $3$ and $\frac{3}{4}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$80 - 15 - 7.5 - (3 \cdot \frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine $3$ and $\frac{4}{4}$ .

$80 - 15 - 7.5 - (\frac{3 \cdot 4}{4} + \frac{3}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

$80 - 15 - 7.5 - \frac{3 \cdot 4 + 3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $4$ .

$80 - 15 - 7.5 - \frac{12 + 3}{4}$

Step 1.2.4.2

Add $12$ and $3$ .

$80 - 15 - 7.5 - \frac{15}{4}$

Step 2

Find the common denominator.

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Step 2.1

Write $80$ as a fraction with denominator $1$ .

$\frac{80}{1} - 15 - 7.5 - \frac{15}{4}$

Step 2.2

Multiply $\frac{80}{1}$ by $\frac{4}{4}$ .

$\frac{80}{1} \cdot \frac{4}{4} - 15 - 7.5 - \frac{15}{4}$

Step 2.3

Multiply $\frac{80}{1}$ by $\frac{4}{4}$ .

$\frac{80 \cdot 4}{4} - 15 - 7.5 - \frac{15}{4}$

Step 2.4

Write $- 15$ as a fraction with denominator $1$ .

$\frac{80 \cdot 4}{4} + \frac{- 15}{1} - 7.5 - \frac{15}{4}$

Step 2.5

Multiply $\frac{- 15}{1}$ by $\frac{4}{4}$ .

$\frac{80 \cdot 4}{4} + \frac{- 15}{1} \cdot \frac{4}{4} - 7.5 - \frac{15}{4}$

Step 2.6

Multiply $\frac{- 15}{1}$ by $\frac{4}{4}$ .

$\frac{80 \cdot 4}{4} + \frac{- 15 \cdot 4}{4} - 7.5 - \frac{15}{4}$

Step 2.7

Write $- 7.5$ as a fraction with denominator $1$ .

$\frac{80 \cdot 4}{4} + \frac{- 15 \cdot 4}{4} + \frac{- 7.5}{1} - \frac{15}{4}$

Step 2.8

Multiply $\frac{- 7.5}{1}$ by $\frac{4}{4}$ .

$\frac{80 \cdot 4}{4} + \frac{- 15 \cdot 4}{4} + \frac{- 7.5}{1} \cdot \frac{4}{4} - \frac{15}{4}$

Step 2.9

Multiply $\frac{- 7.5}{1}$ by $\frac{4}{4}$ .

$\frac{80 \cdot 4}{4} + \frac{- 15 \cdot 4}{4} + \frac{- 7.5 \cdot 4}{4} - \frac{15}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{80 \cdot 4 - 15 \cdot 4 - 7.5 \cdot 4 - 15}{4}$

Step 4

Simplify each term.

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Step 4.1

Multiply $80$ by $4$ .

$\frac{320 - 15 \cdot 4 - 7.5 \cdot 4 - 15}{4}$

Step 4.2

Multiply $- 15$ by $4$ .

$\frac{320 - 60 - 7.5 \cdot 4 - 15}{4}$

Step 4.3

Multiply $- 7.5$ by $4$ .

$\frac{320 - 60 - 30 - 15}{4}$

Step 5

Reduce the expression by cancelling the common factors.

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Step 5.1

Subtract $60$ from $320$ .

$\frac{260 - 30 - 15}{4}$

Step 5.2

Simplify by subtracting numbers.

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Step 5.2.1

Subtract $30$ from $260$ .

$\frac{230 - 15}{4}$

Step 5.2.2

Subtract $15$ from $230$ .

$\frac{215}{4}$

Step 5.3

Cancel the common factor of $215$ and $4$ .

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Step 5.3.1

Rewrite $215$ as $1 (215)$ .

$\frac{1 (215)}{4}$

Step 5.3.2

Cancel the common factors.

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Step 5.3.2.1

Rewrite $4$ as $1 (4)$ .

$\frac{1 \cdot 215}{1 \cdot 4}$

Step 5.3.2.2

Cancel the common factor.

$\frac{1 \cdot 215}{1 \cdot 4}$

Step 5.3.2.3

Rewrite the expression.

$\frac{215}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{215}{4}$

Decimal Form:

$53.75$

Mixed Number Form:

$53 \frac{3}{4}$