Solve 1.02div(53.37*18div1000)

$$1.02 \div (53.37 \times 18 \div 1000)$$

Evaluate

$$\frac{17000}{16011}\approx 1.061770033$$

Solution Steps

Divide 1.02 by \frac{53.37\times 18}{1000} by multiplying 1.02 by the reciprocal of \frac{53.37\times 18}{1000}.

$$\frac{1.02\times 1000}{53.37\times 18}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1.02\times 500}{9\times 53.37}$$

Multiply 1.02 and 500 to get 510.

$$\frac{510}{9\times 53.37}$$

Multiply 9 and 53.37 to get 480.33.

$$\frac{510}{480.33}$$

Expand \frac{510}{480.33} by multiplying both numerator and the denominator by 100.

$$\frac{51000}{48033}$$

Reduce the fraction \frac{51000}{48033} to lowest terms by extracting and canceling out 3.

$$\frac{17000}{16011}$$

Factor

$$\frac{17 \cdot 2 ^ {3} \cdot 5 ^ {3}}{593 \cdot 3 ^ {3}} = 1\frac{989}{16011} = 1.0617700331022422$$