Solve 1.5*40div25^2div3.1

$$1.5 \times 40 \div { 25 }^{ 2 } \div 3.1$$

Evaluate

$$\frac{24}{775}\approx 0.030967742$$

Solution Steps

Express \frac{\frac{1.5\times 40}{25^{2}}}{3.1} as a single fraction.

$$\frac{1.5\times 40}{25^{2}\times 3.1}$$

Multiply 1.5 and 40 to get 60.

$$\frac{60}{25^{2}\times 3.1}$$

Calculate 25 to the power of 2 and get 625.

$$\frac{60}{625\times 3.1}$$

Multiply 625 and 3.1 to get 1937.5.

$$\frac{60}{1937.5}$$

Expand \frac{60}{1937.5} by multiplying both numerator and the denominator by 10.

$$\frac{600}{19375}$$

Reduce the fraction \frac{600}{19375} to lowest terms by extracting and canceling out 25.

$$\frac{24}{775}$$

Factor

$$\frac{3 \cdot 2 ^ {3}}{31 \cdot 5 ^ {2}} = 0.03096774193548387$$