Solve 2h/3-h/9+h-4/6

$$\frac { 2 h } { 3 } - \frac { h } { 9 } + \frac { h - 4 } { 6 }$$

Evaluate

$$\frac{13h}{18}-\frac{2}{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 9 is 9. Multiply \frac{2h}{3} times \frac{3}{3}.

$$\frac{3\times 2h}{9}-\frac{h}{9}+\frac{h-4}{6}$$

Since \frac{3\times 2h}{9} and \frac{h}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\times 2h-h}{9}+\frac{h-4}{6}$$

Do the multiplications in 3\times 2h-h.

$$\frac{6h-h}{9}+\frac{h-4}{6}$$

Combine like terms in 6h-h.

$$\frac{5h}{9}+\frac{h-4}{6}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9 and 6 is 18. Multiply \frac{5h}{9} times \frac{2}{2}. Multiply \frac{h-4}{6} times \frac{3}{3}.

$$\frac{2\times 5h}{18}+\frac{3\left(h-4\right)}{18}$$

Since \frac{2\times 5h}{18} and \frac{3\left(h-4\right)}{18} have the same denominator, add them by adding their numerators.

$$\frac{2\times 5h+3\left(h-4\right)}{18}$$

Do the multiplications in 2\times 5h+3\left(h-4\right).

$$\frac{10h+3h-12}{18}$$

Combine like terms in 10h+3h-12.

$$\frac{13h-12}{18}$$

Expand

$$\frac{13h}{18}-\frac{2}{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 9 is 9. Multiply \frac{2h}{3} times \frac{3}{3}.

$$\frac{3\times 2h}{9}-\frac{h}{9}+\frac{h-4}{6}$$

Since \frac{3\times 2h}{9} and \frac{h}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\times 2h-h}{9}+\frac{h-4}{6}$$

Do the multiplications in 3\times 2h-h.

$$\frac{6h-h}{9}+\frac{h-4}{6}$$

Combine like terms in 6h-h.

$$\frac{5h}{9}+\frac{h-4}{6}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9 and 6 is 18. Multiply \frac{5h}{9} times \frac{2}{2}. Multiply \frac{h-4}{6} times \frac{3}{3}.

$$\frac{2\times 5h}{18}+\frac{3\left(h-4\right)}{18}$$

Since \frac{2\times 5h}{18} and \frac{3\left(h-4\right)}{18} have the same denominator, add them by adding their numerators.

$$\frac{2\times 5h+3\left(h-4\right)}{18}$$

Do the multiplications in 2\times 5h+3\left(h-4\right).

$$\frac{10h+3h-12}{18}$$

Combine like terms in 10h+3h-12.

$$\frac{13h-12}{18}$$