Solve 3/4*5/2-1/2+10/12

$$\frac { 3 } { 4 } \times \frac { 5 } { 2 } - \frac { 1 } { 2 } + \frac { 10 } { 12 }$$

Evaluate

$$\frac{53}{24}\approx 2.208333333$$

Solution Steps

Multiply \frac{3}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{4\times 2}-\frac{1}{2}+\frac{10}{12}$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 2}.

$$\frac{15}{8}-\frac{1}{2}+\frac{10}{12}$$

Least common multiple of 8 and 2 is 8. Convert \frac{15}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{15}{8}-\frac{4}{8}+\frac{10}{12}$$

Since \frac{15}{8} and \frac{4}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-4}{8}+\frac{10}{12}$$

Subtract 4 from 15 to get 11.

$$\frac{11}{8}+\frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{11}{8}+\frac{5}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{11}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{33}{24}+\frac{20}{24}$$

Since \frac{33}{24} and \frac{20}{24} have the same denominator, add them by adding their numerators.

$$\frac{33+20}{24}$$

Add 33 and 20 to get 53.

$$\frac{53}{24}$$

Factor

$$\frac{53}{2 ^ {3} \cdot 3} = 2\frac{5}{24} = 2.2083333333333335$$