Solve 15/6-3/1frac{4{5}}

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

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Multiply 1 and 6 to get 6.

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

Add 6 and 5 to get 11.

$$\frac{11}{6}-\frac{3}{\frac{1\times 5+4}{5}}$$

Divide 3 by \frac{1\times 5+4}{5} by multiplying 3 by the reciprocal of \frac{1\times 5+4}{5}.

$$\frac{11}{6}-\frac{3\times 5}{1\times 5+4}$$

Multiply 3 and 5 to get 15.

$$\frac{11}{6}-\frac{15}{1\times 5+4}$$

Multiply 1 and 5 to get 5.

$$\frac{11}{6}-\frac{15}{5+4}$$

Add 5 and 4 to get 9.

$$\frac{11}{6}-\frac{15}{9}$$

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

$$\frac{11}{6}-\frac{5}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{11}{6} and \frac{5}{3} to fractions with denominator 6.

$$\frac{11}{6}-\frac{10}{6}$$

Since \frac{11}{6} and \frac{10}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-10}{6}$$

Subtract 10 from 11 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$