Solve 3/4*22/7*0.5^3

$$\frac{ 3 }{ 4 } \times \frac{ 22 }{ 7 } \times { 0.5 }^{ 3 }$$

Evaluate

$$\frac{33}{112}\approx 0.294642857$$

Solution Steps

Multiply \frac{3}{4} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 22}{4\times 7}\times 0.5^{3}$$

Do the multiplications in the fraction \frac{3\times 22}{4\times 7}.

$$\frac{66}{28}\times 0.5^{3}$$

Reduce the fraction \frac{66}{28} to lowest terms by extracting and canceling out 2.

$$\frac{33}{14}\times 0.5^{3}$$

Calculate 0.5 to the power of 3 and get 0.125.

$$\frac{33}{14}\times 0.125$$

Convert decimal number 0.125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{33}{14}\times \frac{1}{8}$$

Multiply \frac{33}{14} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 1}{14\times 8}$$

Do the multiplications in the fraction \frac{33\times 1}{14\times 8}.

$$\frac{33}{112}$$

Factor

$$\frac{3 \cdot 11}{7 \cdot 2 ^ {4}} = 0.29464285714285715$$