Solve {left(21/3+32/5-2/3-1/4right)}^-1

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

Evaluate

$$\frac{60}{289}\approx 0.207612457$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\left(\frac{6+1}{3}+\frac{3\times 5+2}{5}-\frac{2}{3}-\frac{1}{4}\right)^{-1}$$

Add 6 and 1 to get 7.

$$\left(\frac{7}{3}+\frac{3\times 5+2}{5}-\frac{2}{3}-\frac{1}{4}\right)^{-1}$$

Multiply 3 and 5 to get 15.

$$\left(\frac{7}{3}+\frac{15+2}{5}-\frac{2}{3}-\frac{1}{4}\right)^{-1}$$

Add 15 and 2 to get 17.

$$\left(\frac{7}{3}+\frac{17}{5}-\frac{2}{3}-\frac{1}{4}\right)^{-1}$$

Add \frac{7}{3} and \frac{17}{5} to get \frac{86}{15}.

$$\left(\frac{86}{15}-\frac{2}{3}-\frac{1}{4}\right)^{-1}$$

Subtract \frac{2}{3} from \frac{86}{15} to get \frac{76}{15}.

$$\left(\frac{76}{15}-\frac{1}{4}\right)^{-1}$$

Subtract \frac{1}{4} from \frac{76}{15} to get \frac{289}{60}.

$$\left(\frac{289}{60}\right)^{-1}$$

Calculate \frac{289}{60} to the power of -1 and get \frac{60}{289}.

$$\frac{60}{289}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5}{17 ^ {2}} = 0.20761245674740483$$