Solve 29/242/2^22^3/2^5

$$\frac { 29 } { 24 } \frac { 2 } { 2 ^ { 2 } } \frac { 2 ^ { 3 } } { 2 ^ { 5 } }$$

Evaluate

$$\frac{29}{192}\approx 0.151041667$$

Solution Steps

Rewrite 2^{2} as 2\times 2. Cancel out 2 in both numerator and denominator.

$$\frac{29}{24}\times \frac{1}{2}\times \frac{2^{3}}{2^{5}}$$

Rewrite 2^{5} as 2^{3}\times 2^{2}. Cancel out 2^{3} in both numerator and denominator.

$$\frac{29}{24}\times \frac{1}{2}\times \frac{1}{2^{2}}$$

Multiply \frac{29}{24} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29\times 1}{24\times 2}\times \frac{1}{2^{2}}$$

Do the multiplications in the fraction \frac{29\times 1}{24\times 2}.

$$\frac{29}{48}\times \frac{1}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{29}{48}\times \frac{1}{4}$$

Multiply \frac{29}{48} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29\times 1}{48\times 4}$$

Do the multiplications in the fraction \frac{29\times 1}{48\times 4}.

$$\frac{29}{192}$$

Factor

$$\frac{29}{2 ^ {6} \cdot 3} = 0.15104166666666666$$