Solve 9.3*1/1.9^2

$$9.3 \times \frac { 1 } { 1.9 ^ { 2 } }$$

Evaluate

$$\frac{930}{361}\approx 2.576177285$$

Solution Steps

Calculate 1.9 to the power of 2 and get 3.61.

$$9.3\times \frac{1}{3.61}$$

Expand \frac{1}{3.61} by multiplying both numerator and the denominator by 100.

$$9.3\times \frac{100}{361}$$

Convert decimal number 9.3 to fraction \frac{93}{10}.

$$\frac{93}{10}\times \frac{100}{361}$$

Multiply \frac{93}{10} times \frac{100}{361} by multiplying numerator times numerator and denominator times denominator.

$$\frac{93\times 100}{10\times 361}$$

Do the multiplications in the fraction \frac{93\times 100}{10\times 361}.

$$\frac{9300}{3610}$$

Reduce the fraction \frac{9300}{3610} to lowest terms by extracting and canceling out 10.

$$\frac{930}{361}$$

Factor

$$\frac{2 \cdot 3 \cdot 5 \cdot 31}{19 ^ {2}} = 2\frac{208}{361} = 2.5761772853185594$$