Solve 493/4*501/4

$$49 \frac { 3 } { 4 } \times 50 \frac { 1 } { 4 }$$

Evaluate

$$\frac{39999}{16}=2499.9375$$

Solution Steps

Multiply 49 and 4 to get 196.

$$\frac{196+3}{4}\times \frac{50\times 4+1}{4}$$

Add 196 and 3 to get 199.

$$\frac{199}{4}\times \frac{50\times 4+1}{4}$$

Multiply 50 and 4 to get 200.

$$\frac{199}{4}\times \frac{200+1}{4}$$

Add 200 and 1 to get 201.

$$\frac{199}{4}\times \frac{201}{4}$$

Multiply \frac{199}{4} times \frac{201}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{199\times 201}{4\times 4}$$

Do the multiplications in the fraction \frac{199\times 201}{4\times 4}.

$$\frac{39999}{16}$$

Factor

$$\frac{3 \cdot 67 \cdot 199}{2 ^ {4}} = 2499\frac{15}{16} = 2499.9375$$