Solve 199^2-701/4*693/4

$${ 199 }^{ 2 } -70 \frac{ 1 }{ 4 } \times 69 \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{555217}{16}=34701.0625$$

Solution Steps

Calculate 199 to the power of 2 and get 39601.

$$39601-\frac{70\times 4+1}{4}\times \frac{69\times 4+3}{4}$$

Multiply 70 and 4 to get 280.

$$39601-\frac{280+1}{4}\times \frac{69\times 4+3}{4}$$

Add 280 and 1 to get 281.

$$39601-\frac{281}{4}\times \frac{69\times 4+3}{4}$$

Multiply 69 and 4 to get 276.

$$39601-\frac{281}{4}\times \frac{276+3}{4}$$

Add 276 and 3 to get 279.

$$39601-\frac{281}{4}\times \frac{279}{4}$$

Multiply \frac{281}{4} times \frac{279}{4} by multiplying numerator times numerator and denominator times denominator.

$$39601-\frac{281\times 279}{4\times 4}$$

Do the multiplications in the fraction \frac{281\times 279}{4\times 4}.

$$39601-\frac{78399}{16}$$

Convert 39601 to fraction \frac{633616}{16}.

$$\frac{633616}{16}-\frac{78399}{16}$$

Since \frac{633616}{16} and \frac{78399}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{633616-78399}{16}$$

Subtract 78399 from 633616 to get 555217.

$$\frac{555217}{16}$$

Factor

$$\frac{13 \cdot 42709}{2 ^ {4}} = 34701\frac{1}{16} = 34701.0625$$