Solve 21/2*41/2

$$2 \frac { 1 } { 2 } \times 4 \frac { 1 } { 2 }$$

Evaluate

$$\frac{45}{4}=11.25$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}\times \frac{4\times 2+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}\times \frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{5}{2}\times \frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{5}{2}\times \frac{9}{2}$$

Multiply \frac{5}{2} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 9}{2\times 2}$$

Do the multiplications in the fraction \frac{5\times 9}{2\times 2}.

$$\frac{45}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2}} = 11\frac{1}{4} = 11.25$$