Solve 105div2div1.56^2

$$105 \div 2 \div { 1.56 }^{ 2 }$$

Evaluate

$$\frac{21875}{1014}\approx 21.572978304$$

Solution Steps

Calculate 1.56 to the power of 2 and get 2.4336.

$$\frac{\frac{105}{2}}{2.4336}$$

Express \frac{\frac{105}{2}}{2.4336} as a single fraction.

$$\frac{105}{2\times 2.4336}$$

Multiply 2 and 2.4336 to get 4.8672.

$$\frac{105}{4.8672}$$

Expand \frac{105}{4.8672} by multiplying both numerator and the denominator by 10000.

$$\frac{1050000}{48672}$$

Reduce the fraction \frac{1050000}{48672} to lowest terms by extracting and canceling out 48.

$$\frac{21875}{1014}$$

Factor

$$\frac{7 \cdot 5 ^ {5}}{2 \cdot 3 \cdot 13 ^ {2}} = 21\frac{581}{1014} = 21.572978303747533$$