Solve 15/8+3/9-1/2

$$1 \frac { 5 } { 8 } + \frac { 3 } { 9 } - \frac { 1 } { 2 }$$

Evaluate

$$\frac{35}{24}\approx 1.458333333$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+5}{8}+\frac{3}{9}-\frac{1}{2}$$

Add 8 and 5 to get 13.

$$\frac{13}{8}+\frac{3}{9}-\frac{1}{2}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{13}{8}+\frac{1}{3}-\frac{1}{2}$$

Least common multiple of 8 and 3 is 24. Convert \frac{13}{8} and \frac{1}{3} to fractions with denominator 24.

$$\frac{39}{24}+\frac{8}{24}-\frac{1}{2}$$

Since \frac{39}{24} and \frac{8}{24} have the same denominator, add them by adding their numerators.

$$\frac{39+8}{24}-\frac{1}{2}$$

Add 39 and 8 to get 47.

$$\frac{47}{24}-\frac{1}{2}$$

Least common multiple of 24 and 2 is 24. Convert \frac{47}{24} and \frac{1}{2} to fractions with denominator 24.

$$\frac{47}{24}-\frac{12}{24}$$

Since \frac{47}{24} and \frac{12}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47-12}{24}$$

Subtract 12 from 47 to get 35.

$$\frac{35}{24}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {3} \cdot 3} = 1\frac{11}{24} = 1.4583333333333333$$