Solve 61/5div32/7=

$$6 \frac { 1 } { 5 } \div 3 \frac { 2 } { 7 } =$$

Evaluate

$$\frac{217}{115}\approx 1.886956522$$

Solution Steps

Divide \frac{6\times 5+1}{5} by \frac{3\times 7+2}{7} by multiplying \frac{6\times 5+1}{5} by the reciprocal of \frac{3\times 7+2}{7}.

$$\frac{\left(6\times 5+1\right)\times 7}{5\left(3\times 7+2\right)}$$

Multiply 6 and 5 to get 30.

$$\frac{\left(30+1\right)\times 7}{5\left(3\times 7+2\right)}$$

Add 30 and 1 to get 31.

$$\frac{31\times 7}{5\left(3\times 7+2\right)}$$

Multiply 31 and 7 to get 217.

$$\frac{217}{5\left(3\times 7+2\right)}$$

Multiply 3 and 7 to get 21.

$$\frac{217}{5\left(21+2\right)}$$

Add 21 and 2 to get 23.

$$\frac{217}{5\times 23}$$

Multiply 5 and 23 to get 115.

$$\frac{217}{115}$$

Factor

$$\frac{7 \cdot 31}{5 \cdot 23} = 1\frac{102}{115} = 1.8869565217391304$$