Solve 242^2*4,127-3/4*1/2

$$242 ^ { 2 } \times 4,127 - 3 / 4 \times 1 / 2$$

Evaluate

$$\frac{1933549021}{8}=241693627.625$$

Solution Steps

Calculate 242 to the power of 2 and get 58564.

$$58564\times 4127-\frac{3}{4}\times \frac{1}{2}$$

Multiply 58564 and 4127 to get 241693628.

$$241693628-\frac{3}{4}\times \frac{1}{2}$$

Multiply \frac{3}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$241693628-\frac{3\times 1}{4\times 2}$$

Do the multiplications in the fraction \frac{3\times 1}{4\times 2}.

$$241693628-\frac{3}{8}$$

Convert 241693628 to fraction \frac{1933549024}{8}.

$$\frac{1933549024}{8}-\frac{3}{8}$$

Since \frac{1933549024}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1933549024-3}{8}$$

Subtract 3 from 1933549024 to get 1933549021.

$$\frac{1933549021}{8}$$

Factor

$$\frac{53 \cdot 1321 \cdot 27617}{2 ^ {3}} = 241693627\frac{5}{8} = 241693627.625$$