Solve 10/4+1-3/frac{2+1{5}}

$$\frac { \frac { 10 } { 4 + 1 - 3 } } { \frac { 2 + 1 } { 5 } }$$

Evaluate

$$\frac{25}{3}\approx 8.333333333$$

Solution Steps

Divide \frac{10}{4+1-3} by \frac{2+1}{5} by multiplying \frac{10}{4+1-3} by the reciprocal of \frac{2+1}{5}.

$$\frac{10\times 5}{\left(4+1-3\right)\left(2+1\right)}$$

Multiply 10 and 5 to get 50.

$$\frac{50}{\left(4+1-3\right)\left(2+1\right)}$$

Add 4 and 1 to get 5.

$$\frac{50}{\left(5-3\right)\left(2+1\right)}$$

Subtract 3 from 5 to get 2.

$$\frac{50}{2\left(2+1\right)}$$

Add 2 and 1 to get 3.

$$\frac{50}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{50}{6}$$

Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.

$$\frac{25}{3}$$

Factor

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$