Solve 7/10div23/11

$$\frac { 7 } { 10 } \div 2 \frac { 3 } { 11 }$$

Evaluate

$$\frac{77}{250}=0.308$$

Solution Steps

Divide \frac{7}{10} by \frac{2\times 11+3}{11} by multiplying \frac{7}{10} by the reciprocal of \frac{2\times 11+3}{11}.

$$\frac{7\times 11}{10\left(2\times 11+3\right)}$$

Multiply 7 and 11 to get 77.

$$\frac{77}{10\left(2\times 11+3\right)}$$

Multiply 2 and 11 to get 22.

$$\frac{77}{10\left(22+3\right)}$$

Add 22 and 3 to get 25.

$$\frac{77}{10\times 25}$$

Multiply 10 and 25 to get 250.

$$\frac{77}{250}$$

Factor

$$\frac{7 \cdot 11}{2 \cdot 5 ^ {3}} = 0.308$$