Evaluate -54/50-40/100+1.65

$- \frac{54}{50} - \frac{40}{100} + 1.65$

Step 1

Find the common denominator.

Multiply $\frac{54}{50}$ by $\frac{2}{2}$ .

$- (\frac{54}{50} \cdot \frac{2}{2}) - \frac{40}{100} + 1.65$

Multiply $\frac{54}{50}$ by $\frac{2}{2}$ .

$- \frac{54 \cdot 2}{50 \cdot 2} - \frac{40}{100} + 1.65$

Write $1.65$ as a fraction with denominator $1$ .

$- \frac{54 \cdot 2}{50 \cdot 2} - \frac{40}{100} + \frac{1.65}{1}$

Multiply $\frac{1.65}{1}$ by $\frac{100}{100}$ .

$- \frac{54 \cdot 2}{50 \cdot 2} - \frac{40}{100} + \frac{1.65}{1} \cdot \frac{100}{100}$

Multiply $\frac{1.65}{1}$ by $\frac{100}{100}$ .

$- \frac{54 \cdot 2}{50 \cdot 2} - \frac{40}{100} + \frac{1.65 \cdot 100}{100}$

Reorder the factors of $50 \cdot 2$ .

$- \frac{54 \cdot 2}{2 \cdot 50} - \frac{40}{100} + \frac{1.65 \cdot 100}{100}$

Multiply $2$ by $50$ .

$- \frac{54 \cdot 2}{100} - \frac{40}{100} + \frac{1.65 \cdot 100}{100}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 54 \cdot 2 - 40 + 1.65 \cdot 100}{100}$

Step 3

Simplify each term.

Multiply $- 54$ by $2$ .

$\frac{- 108 - 40 + 1.65 \cdot 100}{100}$

Multiply $1.65$ by $100$ .

$\frac{- 108 - 40 + 165}{100}$

Step 4

Reduce the expression by cancelling the common factors.

Subtract $40$ from $- 108$ .

$\frac{- 148 + 165}{100}$

Add $- 148$ and $165$ .

$\frac{17}{100}$

Cancel the common factor of $17$ and $100$ .

Rewrite $17$ as $1 (17)$ .

$\frac{1 (17)}{100}$

Cancel the common factors.

Rewrite $100$ as $1 (100)$ .

$\frac{1 \cdot 17}{1 \cdot 100}$

Cancel the common factor.

$\frac{1 \cdot 17}{1 \cdot 100}$

Rewrite the expression.

$\frac{17}{100}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{100}$

Decimal Form:

$0.17$

Evaluate -54/50-40/100+1.65

Related Questions

Support LCMGCF.com by disabling your adblocker.