Solve 5/4(k-3)+2/3(k-3)

$$\frac { 5 } { 4 ( k - 3 ) } + \frac { 2 } { 3 ( k - 3 ) }$$

Evaluate

$$\frac{23}{12\left(k-3\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4\left(k-3\right) and 3\left(k-3\right) is 12\left(k-3\right). Multiply \frac{5}{4\left(k-3\right)} times \frac{3}{3}. Multiply \frac{2}{3\left(k-3\right)} times \frac{4}{4}.

$$\frac{5\times 3}{12\left(k-3\right)}+\frac{2\times 4}{12\left(k-3\right)}$$

Since \frac{5\times 3}{12\left(k-3\right)} and \frac{2\times 4}{12\left(k-3\right)} have the same denominator, add them by adding their numerators.

$$\frac{5\times 3+2\times 4}{12\left(k-3\right)}$$

Do the multiplications in 5\times 3+2\times 4.

$$\frac{15+8}{12\left(k-3\right)}$$

Do the calculations in 15+8.

$$\frac{23}{12\left(k-3\right)}$$

Expand 12\left(k-3\right).

$$\frac{23}{12k-36}$$

Expand

$$\frac{23}{12\left(k-3\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4\left(k-3\right) and 3\left(k-3\right) is 12\left(k-3\right). Multiply \frac{5}{4\left(k-3\right)} times \frac{3}{3}. Multiply \frac{2}{3\left(k-3\right)} times \frac{4}{4}.

$$\frac{5\times 3}{12\left(k-3\right)}+\frac{2\times 4}{12\left(k-3\right)}$$

Since \frac{5\times 3}{12\left(k-3\right)} and \frac{2\times 4}{12\left(k-3\right)} have the same denominator, add them by adding their numerators.

$$\frac{5\times 3+2\times 4}{12\left(k-3\right)}$$

Do the multiplications in 5\times 3+2\times 4.

$$\frac{15+8}{12\left(k-3\right)}$$

Do the calculations in 15+8.

$$\frac{23}{12\left(k-3\right)}$$

Expand 12\left(k-3\right).

$$\frac{23}{12k-36}$$