Solve 11/4*21/4=

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

Evaluate

$$\frac{45}{16}=2.8125$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 2 and 4 to get 8.

$$\frac{5}{4}\times \frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{5}{4}\times \frac{9}{4}$$

Multiply \frac{5}{4} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 9}{4\times 4}$$

Do the multiplications in the fraction \frac{5\times 9}{4\times 4}.

$$\frac{45}{16}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {4}} = 2\frac{13}{16} = 2.8125$$