Algebra Examples

$0.25 - 1.125 - \frac{16}{8}$

Step 1

Find the common denominator.

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Step 1.1

Write $0.25$ as a fraction with denominator $1$ .

$\frac{0.25}{1} - 1.125 - \frac{16}{8}$

Step 1.2

Multiply $\frac{0.25}{1}$ by $\frac{8}{8}$ .

$\frac{0.25}{1} \cdot \frac{8}{8} - 1.125 - \frac{16}{8}$

Step 1.3

Multiply $\frac{0.25}{1}$ by $\frac{8}{8}$ .

$\frac{0.25 \cdot 8}{8} - 1.125 - \frac{16}{8}$

Step 1.4

Write $- 1.125$ as a fraction with denominator $1$ .

$\frac{0.25 \cdot 8}{8} + \frac{- 1.125}{1} - \frac{16}{8}$

Step 1.5

Multiply $\frac{- 1.125}{1}$ by $\frac{8}{8}$ .

$\frac{0.25 \cdot 8}{8} + \frac{- 1.125}{1} \cdot \frac{8}{8} - \frac{16}{8}$

Step 1.6

Multiply $\frac{- 1.125}{1}$ by $\frac{8}{8}$ .

$\frac{0.25 \cdot 8}{8} + \frac{- 1.125 \cdot 8}{8} - \frac{16}{8}$

Step 2

Combine the numerators over the common denominator.

$\frac{0.25 \cdot 8 - 1.125 \cdot 8 - 16}{8}$

Step 3

Simplify each term.

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Step 3.1

Multiply $0.25$ by $8$ .

$\frac{2 - 1.125 \cdot 8 - 16}{8}$

Step 3.2

Multiply $- 1.125$ by $8$ .

$\frac{2 - 9 - 16}{8}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Subtract $9$ from $2$ .

$\frac{- 7 - 16}{8}$

Step 4.2

Subtract $16$ from $- 7$ .

$\frac{- 23}{8}$

Step 4.3

Cancel the common factor of $- 23$ and $8$ .

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Step 4.3.1

Rewrite $- 23$ as $1 (- 23)$ .

$\frac{1 (- 23)}{8}$

Step 4.3.2

Cancel the common factors.

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Step 4.3.2.1

Rewrite $8$ as $1 (8)$ .

$\frac{1 \cdot - 23}{1 \cdot 8}$

Step 4.3.2.2

Cancel the common factor.

$\frac{1 \cdot - 23}{1 \cdot 8}$

Step 4.3.2.3

Rewrite the expression.

$\frac{- 23}{8}$

Step 4.4

Move the negative in front of the fraction.

$- \frac{23}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{23}{8}$

Decimal Form:

$- 2.875$

Mixed Number Form:

$- 2 \frac{7}{8}$