Solve 231/32div1023/4

$$2 \frac { 31 } { 32 } \div 102 \frac { 3 } { 4 }$$

Evaluate

$$\frac{95}{3288}\approx 0.028892944$$

Solution Steps

Divide \frac{2\times 32+31}{32} by \frac{102\times 4+3}{4} by multiplying \frac{2\times 32+31}{32} by the reciprocal of \frac{102\times 4+3}{4}.

$$\frac{\left(2\times 32+31\right)\times 4}{32\left(102\times 4+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{31+2\times 32}{8\left(3+4\times 102\right)}$$

Multiply 2 and 32 to get 64.

$$\frac{31+64}{8\left(3+4\times 102\right)}$$

Add 31 and 64 to get 95.

$$\frac{95}{8\left(3+4\times 102\right)}$$

Multiply 4 and 102 to get 408.

$$\frac{95}{8\left(3+408\right)}$$

Add 3 and 408 to get 411.

$$\frac{95}{8\times 411}$$

Multiply 8 and 411 to get 3288.

$$\frac{95}{3288}$$

Factor

$$\frac{5 \cdot 19}{2 ^ {3} \cdot 3 \cdot 137} = 0.02889294403892944$$