Evaluate -3/2+24/20-1.75

$- \frac{3}{2} + \frac{24}{20} - 1.75$

Step 1

Find the common denominator.

Multiply $\frac{3}{2}$ by $\frac{10}{10}$ .

$- (\frac{3}{2} \cdot \frac{10}{10}) + \frac{24}{20} - 1.75$

Multiply $\frac{3}{2}$ by $\frac{10}{10}$ .

$- \frac{3 \cdot 10}{2 \cdot 10} + \frac{24}{20} - 1.75$

Write $- 1.75$ as a fraction with denominator $1$ .

$- \frac{3 \cdot 10}{2 \cdot 10} + \frac{24}{20} + \frac{- 1.75}{1}$

Multiply $\frac{- 1.75}{1}$ by $\frac{20}{20}$ .

$- \frac{3 \cdot 10}{2 \cdot 10} + \frac{24}{20} + \frac{- 1.75}{1} \cdot \frac{20}{20}$

Multiply $\frac{- 1.75}{1}$ by $\frac{20}{20}$ .

$- \frac{3 \cdot 10}{2 \cdot 10} + \frac{24}{20} + \frac{- 1.75 \cdot 20}{20}$

Multiply $2$ by $10$ .

$- \frac{3 \cdot 10}{20} + \frac{24}{20} + \frac{- 1.75 \cdot 20}{20}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 3 \cdot 10 + 24 - 1.75 \cdot 20}{20}$

Step 3

Simplify each term.

Multiply $- 3$ by $10$ .

$\frac{- 30 + 24 - 1.75 \cdot 20}{20}$

Multiply $- 1.75$ by $20$ .

$\frac{- 30 + 24 - 35}{20}$

Step 4

Reduce the expression by cancelling the common factors.

Add $- 30$ and $24$ .

$\frac{- 6 - 35}{20}$

Subtract $35$ from $- 6$ .

$\frac{- 41}{20}$

Cancel the common factor of $- 41$ and $20$ .

Rewrite $- 41$ as $1 (- 41)$ .

$\frac{1 (- 41)}{20}$

Cancel the common factors.

Rewrite $20$ as $1 (20)$ .

$\frac{1 \cdot - 41}{1 \cdot 20}$

Cancel the common factor.

$\frac{1 \cdot - 41}{1 \cdot 20}$

Rewrite the expression.

$\frac{- 41}{20}$

Move the negative in front of the fraction.

$- \frac{41}{20}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{41}{20}$

Decimal Form:

$- 2.05$

Mixed Number Form:

$- 2 \frac{1}{20}$

Evaluate -3/2+24/20-1.75

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