Solve 7/12*21*{left(1/4right)}^2*1/2

$$\frac{ 7 }{ 12 } \times 21 \times { \left( \frac{ 1 }{ 4 } \right) }^{ 2 } \times \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{49}{128}=0.3828125$$

Solution Steps

Express \frac{7}{12}\times 21 as a single fraction.

$$\frac{7\times 21}{12}\times \left(\frac{1}{4}\right)^{2}\times \frac{1}{2}$$

Multiply 7 and 21 to get 147.

$$\frac{147}{12}\times \left(\frac{1}{4}\right)^{2}\times \frac{1}{2}$$

Reduce the fraction \frac{147}{12} to lowest terms by extracting and canceling out 3.

$$\frac{49}{4}\times \left(\frac{1}{4}\right)^{2}\times \frac{1}{2}$$

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{49}{4}\times \frac{1}{16}\times \frac{1}{2}$$

Multiply \frac{49}{4} times \frac{1}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 1}{4\times 16}\times \frac{1}{2}$$

Do the multiplications in the fraction \frac{49\times 1}{4\times 16}.

$$\frac{49}{64}\times \frac{1}{2}$$

Multiply \frac{49}{64} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 1}{64\times 2}$$

Do the multiplications in the fraction \frac{49\times 1}{64\times 2}.

$$\frac{49}{128}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {7}} = 0.3828125$$