Solve 105.3+92.9/2.5^2*18.3=

$$\frac { 105.3 + 92.9 } { 2.5 ^ { 2 } \cdot 18.3 } =$$

Evaluate

$$\frac{7928}{4575}\approx 1.732896175$$

Solution Steps

Add 105.3 and 92.9 to get 198.2.

$$\frac{198.2}{2.5^{2}\times 18.3}$$

Calculate 2.5 to the power of 2 and get 6.25.

$$\frac{198.2}{6.25\times 18.3}$$

Multiply 6.25 and 18.3 to get 114.375.

$$\frac{198.2}{114.375}$$

Expand \frac{198.2}{114.375} by multiplying both numerator and the denominator by 1000.

$$\frac{198200}{114375}$$

Reduce the fraction \frac{198200}{114375} to lowest terms by extracting and canceling out 25.

$$\frac{7928}{4575}$$

Factor

$$\frac{991 \cdot 2 ^ {3}}{3 \cdot 61 \cdot 5 ^ {2}} = 1\frac{3353}{4575} = 1.732896174863388$$