Solve 1/2*161/2*91/4=

$$\frac{ 1 }{ 2 } \times 16 \frac{ 1 }{ 2 } \times 9 \frac{ 1 }{ 4 } =$$

Evaluate

$$\frac{1221}{16}=76.3125$$

Solution Steps

Multiply 16 and 2 to get 32.

$$\frac{1}{2}\times \frac{32+1}{2}\times \frac{9\times 4+1}{4}$$

Add 32 and 1 to get 33.

$$\frac{1}{2}\times \frac{33}{2}\times \frac{9\times 4+1}{4}$$

Multiply \frac{1}{2} times \frac{33}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 33}{2\times 2}\times \frac{9\times 4+1}{4}$$

Do the multiplications in the fraction \frac{1\times 33}{2\times 2}.

$$\frac{33}{4}\times \frac{9\times 4+1}{4}$$

Multiply 9 and 4 to get 36.

$$\frac{33}{4}\times \frac{36+1}{4}$$

Add 36 and 1 to get 37.

$$\frac{33}{4}\times \frac{37}{4}$$

Multiply \frac{33}{4} times \frac{37}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 37}{4\times 4}$$

Do the multiplications in the fraction \frac{33\times 37}{4\times 4}.

$$\frac{1221}{16}$$

Factor

$$\frac{3 \cdot 11 \cdot 37}{2 ^ {4}} = 76\frac{5}{16} = 76.3125$$