Solve 1/3+0.5+5/24/3

$$\frac{ \frac{ 1 }{ 3 } +0.5+ \frac{ 5 }{ 24 } }{ 3 }$$

Evaluate

$$\frac{25}{72}\approx 0.347222222$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1}{3}+\frac{1}{2}+\frac{5}{24}}{3}$$

Least common multiple of 3 and 2 is 6. Convert \frac{1}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{\frac{2}{6}+\frac{3}{6}+\frac{5}{24}}{3}$$

Since \frac{2}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2+3}{6}+\frac{5}{24}}{3}$$

Add 2 and 3 to get 5.

$$\frac{\frac{5}{6}+\frac{5}{24}}{3}$$

Least common multiple of 6 and 24 is 24. Convert \frac{5}{6} and \frac{5}{24} to fractions with denominator 24.

$$\frac{\frac{20}{24}+\frac{5}{24}}{3}$$

Since \frac{20}{24} and \frac{5}{24} have the same denominator, add them by adding their numerators.

$$\frac{\frac{20+5}{24}}{3}$$

Add 20 and 5 to get 25.

$$\frac{\frac{25}{24}}{3}$$

Express \frac{\frac{25}{24}}{3} as a single fraction.

$$\frac{25}{24\times 3}$$

Multiply 24 and 3 to get 72.

$$\frac{25}{72}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3 ^ {2}} = 0.3472222222222222$$