Solve 4.8^2-1.7^2/4.8*1.7

$$\frac { 4.8 ^ { 2 } - 1.7 ^ { 2 } } { 4.8 \times 1.7 }$$

Evaluate

$$\frac{2015}{816}\approx 2.469362745$$

Solution Steps

Calculate 4.8 to the power of 2 and get 23.04.

$$\frac{23.04-1.7^{2}}{4.8\times 1.7}$$

Calculate 1.7 to the power of 2 and get 2.89.

$$\frac{23.04-2.89}{4.8\times 1.7}$$

Subtract 2.89 from 23.04 to get 20.15.

$$\frac{20.15}{4.8\times 1.7}$$

Multiply 4.8 and 1.7 to get 8.16.

$$\frac{20.15}{8.16}$$

Expand \frac{20.15}{8.16} by multiplying both numerator and the denominator by 100.

$$\frac{2015}{816}$$

Factor

$$\frac{5 \cdot 13 \cdot 31}{3 \cdot 17 \cdot 2 ^ {4}} = 2\frac{383}{816} = 2.469362745098039$$