Solve 3/8/frac{1{2}}+4/5-1/6

$$\frac{ \frac{ 3 }{ 8 } }{ \frac{ 1 }{ 2 } } + \frac{ 4 }{ 5 } - \frac{ 1 }{ 6 }$$

Evaluate

$$\frac{83}{60}\approx 1.383333333$$

Solution Steps

Divide \frac{3}{8} by \frac{1}{2} by multiplying \frac{3}{8} by the reciprocal of \frac{1}{2}.

$$\frac{3}{8}\times 2+\frac{4}{5}-\frac{1}{6}$$

Express \frac{3}{8}\times 2 as a single fraction.

$$\frac{3\times 2}{8}+\frac{4}{5}-\frac{1}{6}$$

Multiply 3 and 2 to get 6.

$$\frac{6}{8}+\frac{4}{5}-\frac{1}{6}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}+\frac{4}{5}-\frac{1}{6}$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{4}{5} to fractions with denominator 20.

$$\frac{15}{20}+\frac{16}{20}-\frac{1}{6}$$

Since \frac{15}{20} and \frac{16}{20} have the same denominator, add them by adding their numerators.

$$\frac{15+16}{20}-\frac{1}{6}$$

Add 15 and 16 to get 31.

$$\frac{31}{20}-\frac{1}{6}$$

Least common multiple of 20 and 6 is 60. Convert \frac{31}{20} and \frac{1}{6} to fractions with denominator 60.

$$\frac{93}{60}-\frac{10}{60}$$

Since \frac{93}{60} and \frac{10}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-10}{60}$$

Subtract 10 from 93 to get 83.

$$\frac{83}{60}$$

Factor

$$\frac{83}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{23}{60} = 1.3833333333333333$$