Solve (17/12+1/24)1/24

$$( \frac { 17 } { 12 } + \frac { 1 } { 24 } ) \frac { 1 } { 24 }$$

Evaluate

$$\frac{35}{576}\approx 0.060763889$$

Solution Steps

Least common multiple of 12 and 24 is 24. Convert \frac{17}{12} and \frac{1}{24} to fractions with denominator 24.

$$\left(\frac{34}{24}+\frac{1}{24}\right)\times \frac{1}{24}$$

Since \frac{34}{24} and \frac{1}{24} have the same denominator, add them by adding their numerators.

$$\frac{34+1}{24}\times \frac{1}{24}$$

Add 34 and 1 to get 35.

$$\frac{35}{24}\times \frac{1}{24}$$

Multiply \frac{35}{24} times \frac{1}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 1}{24\times 24}$$

Do the multiplications in the fraction \frac{35\times 1}{24\times 24}.

$$\frac{35}{576}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {6} \cdot 3 ^ {2}} = 0.06076388888888889$$