Solve 33*4.831-(4.831^2)/(4.831^2+33)

$$\frac{ 33 \times 4.831-( { 4.831 }^{ 2 } ) }{ ( { 4.831 }^{ 2 } +33) }$$

Evaluate

$$\frac{8004967}{3314033}\approx 2.415475947$$

Solution Steps

Multiply 33 and 4.831 to get 159.423.

$$\frac{159.423-4.831^{2}}{4.831^{2}+33}$$

Calculate 4.831 to the power of 2 and get 23.338561.

$$\frac{159.423-23.338561}{4.831^{2}+33}$$

Subtract 23.338561 from 159.423 to get 136.084439.

$$\frac{136.084439}{4.831^{2}+33}$$

Calculate 4.831 to the power of 2 and get 23.338561.

$$\frac{136.084439}{23.338561+33}$$

Add 23.338561 and 33 to get 56.338561.

$$\frac{136.084439}{56.338561}$$

Expand \frac{136.084439}{56.338561} by multiplying both numerator and the denominator by 1000000.

$$\frac{136084439}{56338561}$$

Reduce the fraction \frac{136084439}{56338561} to lowest terms by extracting and canceling out 17.

$$\frac{8004967}{3314033}$$

Factor

$$\frac{1657 \cdot 4831}{29 \cdot 114277} = 2\frac{1376901}{3314033} = 2.4154759472823595$$