Algebra Examples

$\frac{2.5 d r^{2}}{6} + \frac{3 d r^{2}}{4}$

Step 1

Simplify each term.

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Step 1.1

Factor $2.5$ out of $2.5 d r^{2}$ .

$\frac{2.5 (d r^{2})}{6} + \frac{3 d r^{2}}{4}$

Step 1.2

Factor $6$ out of $6$ .

$\frac{2.5 (d r^{2})}{6 (1)} + \frac{3 d r^{2}}{4}$

Step 1.3

Separate fractions.

$\frac{2.5}{6} \cdot \frac{d r^{2}}{1} + \frac{3 d r^{2}}{4}$

Step 1.4

Divide $2.5$ by $6$ .

$0.41\overline{6} \frac{d r^{2}}{1} + \frac{3 d r^{2}}{4}$

Step 1.5

Divide $d r^{2}$ by $1$ .

$0.41\overline{6} d r^{2} + \frac{3 d r^{2}}{4}$

Step 2

To write $0.41\overline{6} d r^{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$0.41\overline{6} d r^{2} \cdot \frac{4}{4} + \frac{3 d r^{2}}{4}$

Step 3

Simplify terms.

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Step 3.1

Combine $0.41\overline{6} d r^{2}$ and $\frac{4}{4}$ .

$\frac{0.41\overline{6} d r^{2} \cdot 4}{4} + \frac{3 d r^{2}}{4}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{0.41\overline{6} d r^{2} \cdot 4 + 3 d r^{2}}{4}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $4$ by $0.41\overline{6}$ .

$\frac{1.\overline{6} d r^{2} + 3 d r^{2}}{4}$

Step 4.2

Add $1.\overline{6} d r^{2}$ and $3 d r^{2}$ .

$\frac{4.\overline{6} d r^{2}}{4}$

Step 5

Simplify with factoring out.

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Step 5.1

Factor $4.\overline{6}$ out of $4.\overline{6} d r^{2}$ .

$\frac{4.\overline{6} (d r^{2})}{4}$

Step 5.2

Factor $4$ out of $4$ .

$\frac{4.\overline{6} (d r^{2})}{4 (1)}$

Step 6

Separate fractions.

$\frac{4.\overline{6}}{4} \cdot \frac{d r^{2}}{1}$

Step 7

Divide $4.\overline{6}$ by $4$ .

$1.1\overline{6} \frac{d r^{2}}{1}$

Step 8

Divide $d r^{2}$ by $1$ .

$1.1\overline{6} d r^{2}$