Solve 32div126/7

$$32 \div 12 \frac { 6 } { 7 }$$

Evaluate

$$\frac{112}{45}\approx 2.488888889$$

Solution Steps

Divide 32 by \frac{12\times 7+6}{7} by multiplying 32 by the reciprocal of \frac{12\times 7+6}{7}.

$$\frac{32\times 7}{12\times 7+6}$$

Multiply 32 and 7 to get 224.

$$\frac{224}{12\times 7+6}$$

Multiply 12 and 7 to get 84.

$$\frac{224}{84+6}$$

Add 84 and 6 to get 90.

$$\frac{224}{90}$$

Reduce the fraction \frac{224}{90} to lowest terms by extracting and canceling out 2.

$$\frac{112}{45}$$

Factor

$$\frac{2 ^ {4} \cdot 7}{3 ^ {2} \cdot 5} = 2\frac{22}{45} = 2.488888888888889$$