Algebra Examples

$4.4 - 3 (\frac{3}{4} + 1.125)$

Step 1

Simplify each term.

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Step 1.1

To write $1.125$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$4.4 - 3 (\frac{3}{4} + 1.125 \cdot \frac{4}{4})$

Step 1.2

Combine $1.125$ and $\frac{4}{4}$ .

$4.4 - 3 (\frac{3}{4} + \frac{1.125 \cdot 4}{4})$

Step 1.3

Combine the numerators over the common denominator.

$4.4 - 3 \frac{3 + 1.125 \cdot 4}{4}$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $1.125$ by $4$ .

$4.4 - 3 \frac{3 + 4.5}{4}$

Step 1.4.2

Add $3$ and $4.5$ .

$4.4 - 3 (\frac{7.5}{4})$

Step 1.5

Divide $7.5$ by $4$ .

$4.4 - 3 \cdot 1.875$

Step 1.6

Multiply $- 3$ by $1.875$ .

$4.4 - 5.625$

Step 2

Subtract $5.625$ from $4.4$ .

$- 1.225$