Solve 56/7div31/2=

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

Evaluate

$$\frac{82}{49}\approx 1.673469388$$

Solution Steps

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

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

Multiply 5 and 7 to get 35.

$$\frac{\left(35+6\right)\times 2}{7\left(3\times 2+1\right)}$$

Add 35 and 6 to get 41.

$$\frac{41\times 2}{7\left(3\times 2+1\right)}$$

Multiply 41 and 2 to get 82.

$$\frac{82}{7\left(3\times 2+1\right)}$$

Multiply 3 and 2 to get 6.

$$\frac{82}{7\left(6+1\right)}$$

Add 6 and 1 to get 7.

$$\frac{82}{7\times 7}$$

Multiply 7 and 7 to get 49.

$$\frac{82}{49}$$

Factor

$$\frac{2 \cdot 41}{7 ^ {2}} = 1\frac{33}{49} = 1.6734693877551021$$