Simplify (2.5dr^2)/6+(3dr^2)/4

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

Simplify each term.

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

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

Factor $6$ out of $6$ .

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

Separate fractions.

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

Divide $2.5$ by $6$ .

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

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

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

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

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

Simplify terms.

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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

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

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

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

Simplify with factoring out.

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

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

Factor $4$ out of $4$ .

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

Separate fractions.

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

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

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

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

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