Solve 3/2h(6k+4h)-7k/4h

$$\frac { 3 } { 2 h } ( 6 k + 4 h ) - \frac { 7 k } { 4 h }$$

Evaluate

$$\frac{29k}{4h}+6$$

Short Solution Steps

Express \frac{3}{2h}\left(6k+4h\right) as a single fraction.

$$\frac{3\left(6k+4h\right)}{2h}-\frac{7k}{4h}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2h and 4h is 4h. Multiply \frac{3\left(6k+4h\right)}{2h} times \frac{2}{2}.

$$\frac{2\times 3\left(6k+4h\right)}{4h}-\frac{7k}{4h}$$

Since \frac{2\times 3\left(6k+4h\right)}{4h} and \frac{7k}{4h} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\times 3\left(6k+4h\right)-7k}{4h}$$

Do the multiplications in 2\times 3\left(6k+4h\right)-7k.

$$\frac{36k+24h-7k}{4h}$$

Combine like terms in 36k+24h-7k.

$$\frac{29k+24h}{4h}$$

Expand

$$\frac{29k}{4h}+6$$

Short Solution Steps

Express \frac{3}{2h}\left(6k+4h\right) as a single fraction.

$$\frac{3\left(6k+4h\right)}{2h}-\frac{7k}{4h}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2h and 4h is 4h. Multiply \frac{3\left(6k+4h\right)}{2h} times \frac{2}{2}.

$$\frac{2\times 3\left(6k+4h\right)}{4h}-\frac{7k}{4h}$$

Since \frac{2\times 3\left(6k+4h\right)}{4h} and \frac{7k}{4h} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\times 3\left(6k+4h\right)-7k}{4h}$$

Do the multiplications in 2\times 3\left(6k+4h\right)-7k.

$$\frac{36k+24h-7k}{4h}$$

Combine like terms in 36k+24h-7k.

$$\frac{29k+24h}{4h}$$