Solve 22/3div23/7=

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

Evaluate

$$\frac{56}{51}\approx 1.098039216$$

Solution Steps

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

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

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

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

Multiply 8 and 7 to get 56.

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

Multiply 2 and 7 to get 14.

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

Add 14 and 3 to get 17.

$$\frac{56}{3\times 17}$$

Multiply 3 and 17 to get 51.

$$\frac{56}{51}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3 \cdot 17} = 1\frac{5}{51} = 1.0980392156862746$$