Simplify 80-15-7.5-3 3/4

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

Step 1

Convert

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

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

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

Add

$3$ and

$\frac{3}{4}$ .

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

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

Combine

$3$ and

$\frac{4}{4}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply

$3$ by

$4$ .

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

Add

$12$ and

$3$ .

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

Step 2

Find the common denominator.

Write

$80$ as a fraction with denominator

$1$ .

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

Multiply

$\frac{80}{1}$ by

$\frac{4}{4}$ .

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

Multiply

$\frac{80}{1}$ by

$\frac{4}{4}$ .

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

Write

$- 15$ as a fraction with denominator

$1$ .

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

Multiply

$\frac{- 15}{1}$ by

$\frac{4}{4}$ .

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

Multiply

$\frac{- 15}{1}$ by

$\frac{4}{4}$ .

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

Write

$- 7.5$ as a fraction with denominator

$1$ .

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

Multiply

$\frac{- 7.5}{1}$ by

$\frac{4}{4}$ .

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

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.

Multiply

$80$ by

$4$ .

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

Multiply

$- 15$ by

$4$ .

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

Multiply

$- 7.5$ by

$4$ .

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

Step 5

Reduce the expression by cancelling the common factors.

Subtract

$60$ from

$320$ .

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

Simplify by subtracting numbers.

Subtract

$30$ from

$260$ .

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

Subtract

$15$ from

$230$ .

$\frac{215}{4}$

Cancel the common factor of

$215$ and

$4$ .

Rewrite

$215$ as

$1 (215)$ .

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

Cancel the common factors.

Rewrite

$4$ as

$1 (4)$ .

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

Cancel the common factor.

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

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:

$53 \frac{3}{4}$

Simplify 80-15-7.5-3 3/4

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