Algebra Examples

$2.5 (- 10 + 3 \frac{3}{4} x - 6.2)$

Step 1

Convert $3 \frac{3}{4}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$2.5 (- 10 + (3 + \frac{3}{4}) x - 6.2)$

Step 1.2

Add $3$ and $\frac{3}{4}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$2.5 (- 10 + (3 \cdot \frac{4}{4} + \frac{3}{4}) x - 6.2)$

Step 1.2.2

Combine $3$ and $\frac{4}{4}$ .

$2.5 (- 10 + (\frac{3 \cdot 4}{4} + \frac{3}{4}) x - 6.2)$

Step 1.2.3

Combine the numerators over the common denominator.

$2.5 (- 10 + \frac{3 \cdot 4 + 3}{4} x - 6.2)$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $4$ .

$2.5 (- 10 + \frac{12 + 3}{4} x - 6.2)$

Step 1.2.4.2

Add $12$ and $3$ .

$2.5 (- 10 + \frac{15}{4} x - 6.2)$

Step 2

Combine $\frac{15}{4}$ and $x$ .

$2.5 (- 10 + \frac{15 x}{4} - 6.2)$

Step 3

Subtract $6.2$ from $- 10$ .

$2.5 (\frac{15 x}{4} - 16.2)$

Step 4

Apply the distributive property.

$2.5 \frac{15 x}{4} + 2.5 \cdot - 16.2$

Step 5

Multiply $2.5 \frac{15 x}{4}$ .

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Step 5.1

Combine $2.5$ and $\frac{15 x}{4}$ .

$\frac{2.5 (15 x)}{4} + 2.5 \cdot - 16.2$

Step 5.2

Multiply $15$ by $2.5$ .

$\frac{37.5 x}{4} + 2.5 \cdot - 16.2$

Step 6

Multiply $2.5$ by $- 16.2$ .

$\frac{37.5 x}{4} - 40.5$

Step 7

Simplify each term.

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Step 7.1

Factor $37.5$ out of $37.5 x$ .

$\frac{37.5 (x)}{4} - 40.5$

Step 7.2

Factor $4$ out of $4$ .

$\frac{37.5 (x)}{4 (1)} - 40.5$

Step 7.3

Separate fractions.

$\frac{37.5}{4} \cdot \frac{x}{1} - 40.5$

Step 7.4

Divide $37.5$ by $4$ .

$9.375 \frac{x}{1} - 40.5$

Step 7.5

Divide $x$ by $1$ .

$9.375 x - 40.5$