Solve 24/5-a+10/3

$$2 \frac { 4 } { 5 } - \frac { a + 10 } { 3 }$$

Evaluate

$$-\frac{a}{3}-\frac{8}{15}$$

Short Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+4}{5}-\frac{a+10}{3}$$

Add 10 and 4 to get 14.

$$\frac{14}{5}-\frac{a+10}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 3 is 15. Multiply \frac{14}{5} times \frac{3}{3}. Multiply \frac{a+10}{3} times \frac{5}{5}.

$$\frac{14\times 3}{15}-\frac{5\left(a+10\right)}{15}$$

Since \frac{14\times 3}{15} and \frac{5\left(a+10\right)}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14\times 3-5\left(a+10\right)}{15}$$

Do the multiplications in 14\times 3-5\left(a+10\right).

$$\frac{42-5a-50}{15}$$

Combine like terms in 42-5a-50.

$$\frac{-8-5a}{15}$$

Expand

$$-\frac{a}{3}-\frac{8}{15}$$

Short Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+4}{5}-\frac{a+10}{3}$$

Add 10 and 4 to get 14.

$$\frac{14}{5}-\frac{a+10}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 3 is 15. Multiply \frac{14}{5} times \frac{3}{3}. Multiply \frac{a+10}{3} times \frac{5}{5}.

$$\frac{14\times 3}{15}-\frac{5\left(a+10\right)}{15}$$

Since \frac{14\times 3}{15} and \frac{5\left(a+10\right)}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14\times 3-5\left(a+10\right)}{15}$$

Do the multiplications in 14\times 3-5\left(a+10\right).

$$\frac{42-5a-50}{15}$$

Combine like terms in 42-5a-50.

$$\frac{-8-5a}{15}$$