Solve 22/3div21/7

$$2 \frac { 2 } { 3 } \div 2 \frac { 1 } { 7 }$$

Evaluate

$$\frac{56}{45}\approx 1.244444444$$

Solution Steps

Divide \frac{2\times 3+2}{3} by \frac{2\times 7+1}{7} by multiplying \frac{2\times 3+2}{3} by the reciprocal of \frac{2\times 7+1}{7}.

$$\frac{\left(2\times 3+2\right)\times 7}{3\left(2\times 7+1\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{\left(6+2\right)\times 7}{3\left(2\times 7+1\right)}$$

Add 6 and 2 to get 8.

$$\frac{8\times 7}{3\left(2\times 7+1\right)}$$

Multiply 8 and 7 to get 56.

$$\frac{56}{3\left(2\times 7+1\right)}$$

Multiply 2 and 7 to get 14.

$$\frac{56}{3\left(14+1\right)}$$

Add 14 and 1 to get 15.

$$\frac{56}{3\times 15}$$

Multiply 3 and 15 to get 45.

$$\frac{56}{45}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3 ^ {2} \cdot 5} = 1\frac{11}{45} = 1.2444444444444445$$