Algebra Examples

$- \frac{67}{50} + 1.5 - 100 %$

Step 1

Simplify each term.

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Step 1.1

Convert $100 %$ to a decimal.

$- \frac{67}{50} + 1.5 - 1 \cdot 1$

Step 1.2

Multiply $- 1$ by $1$ .

$- \frac{67}{50} + 1.5 - 1$

Step 2

Find the common denominator.

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Step 2.1

Write $1.5$ as a fraction with denominator $1$ .

$- \frac{67}{50} + \frac{1.5}{1} - 1$

Step 2.2

Multiply $\frac{1.5}{1}$ by $\frac{50}{50}$ .

$- \frac{67}{50} + \frac{1.5}{1} \cdot \frac{50}{50} - 1$

Step 2.3

Multiply $\frac{1.5}{1}$ by $\frac{50}{50}$ .

$- \frac{67}{50} + \frac{1.5 \cdot 50}{50} - 1$

Step 2.4

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

$- \frac{67}{50} + \frac{1.5 \cdot 50}{50} + \frac{- 1}{1}$

Step 2.5

Multiply $\frac{- 1}{1}$ by $\frac{50}{50}$ .

$- \frac{67}{50} + \frac{1.5 \cdot 50}{50} + \frac{- 1}{1} \cdot \frac{50}{50}$

Step 2.6

Multiply $\frac{- 1}{1}$ by $\frac{50}{50}$ .

$- \frac{67}{50} + \frac{1.5 \cdot 50}{50} + \frac{- 1 \cdot 50}{50}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 67 + 1.5 \cdot 50 - 1 \cdot 50}{50}$

Step 4

Simplify each term.

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Step 4.1

Multiply $1.5$ by $50$ .

$\frac{- 67 + 75 - 1 \cdot 50}{50}$

Step 4.2

Multiply $- 1$ by $50$ .

$\frac{- 67 + 75 - 50}{50}$

Step 5

Reduce the expression by cancelling the common factors.

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Step 5.1

Add $- 67$ and $75$ .

$\frac{8 - 50}{50}$

Step 5.2

Subtract $50$ from $8$ .

$\frac{- 42}{50}$

Step 5.3

Cancel the common factor of $- 42$ and $50$ .

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Step 5.3.1

Factor $2$ out of $- 42$ .

$\frac{2 (- 21)}{50}$

Step 5.3.2

Cancel the common factors.

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Step 5.3.2.1

Factor $2$ out of $50$ .

$\frac{2 \cdot - 21}{2 \cdot 25}$

Step 5.3.2.2

Cancel the common factor.

$\frac{2 \cdot - 21}{2 \cdot 25}$

Step 5.3.2.3

Rewrite the expression.

$\frac{- 21}{25}$

Step 5.4

Move the negative in front of the fraction.

$- \frac{21}{25}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{21}{25}$

Decimal Form:

$- 0.84$