Solve 82/7div29/10=

$$8 \frac { 2 } { 7 } \div 2 \frac { 9 } { 10 } =$$

Evaluate

$$\frac{20}{7}\approx 2.857142857$$

Solution Steps

Divide \frac{8\times 7+2}{7} by \frac{2\times 10+9}{10} by multiplying \frac{8\times 7+2}{7} by the reciprocal of \frac{2\times 10+9}{10}.

$$\frac{\left(8\times 7+2\right)\times 10}{7\left(2\times 10+9\right)}$$

Multiply 8 and 7 to get 56.

$$\frac{\left(56+2\right)\times 10}{7\left(2\times 10+9\right)}$$

Add 56 and 2 to get 58.

$$\frac{58\times 10}{7\left(2\times 10+9\right)}$$

Multiply 58 and 10 to get 580.

$$\frac{580}{7\left(2\times 10+9\right)}$$

Multiply 2 and 10 to get 20.

$$\frac{580}{7\left(20+9\right)}$$

Add 20 and 9 to get 29.

$$\frac{580}{7\times 29}$$

Multiply 7 and 29 to get 203.

$$\frac{580}{203}$$

Reduce the fraction \frac{580}{203} to lowest terms by extracting and canceling out 29.

$$\frac{20}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{7} = 2\frac{6}{7} = 2.857142857142857$$