Solve 22/5-12/3/0.6-frac{1{5}}=

$$\frac{ 2 \frac{ 2 }{ 5 } -1 \frac{ 2 }{ 3 } }{ 0.6- \frac{ 1 }{ 5 } } =$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{\frac{10+2}{5}-\frac{1\times 3+2}{3}}{0.6-\frac{1}{5}}$$

Add 10 and 2 to get 12.

$$\frac{\frac{12}{5}-\frac{1\times 3+2}{3}}{0.6-\frac{1}{5}}$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{12}{5}-\frac{3+2}{3}}{0.6-\frac{1}{5}}$$

Add 3 and 2 to get 5.

$$\frac{\frac{12}{5}-\frac{5}{3}}{0.6-\frac{1}{5}}$$

Least common multiple of 5 and 3 is 15. Convert \frac{12}{5} and \frac{5}{3} to fractions with denominator 15.

$$\frac{\frac{36}{15}-\frac{25}{15}}{0.6-\frac{1}{5}}$$

Since \frac{36}{15} and \frac{25}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{36-25}{15}}{0.6-\frac{1}{5}}$$

Subtract 25 from 36 to get 11.

$$\frac{\frac{11}{15}}{0.6-\frac{1}{5}}$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{11}{15}}{\frac{3}{5}-\frac{1}{5}}$$

Since \frac{3}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{11}{15}}{\frac{3-1}{5}}$$

Subtract 1 from 3 to get 2.

$$\frac{\frac{11}{15}}{\frac{2}{5}}$$

Divide \frac{11}{15} by \frac{2}{5} by multiplying \frac{11}{15} by the reciprocal of \frac{2}{5}.

$$\frac{11}{15}\times \frac{5}{2}$$

Multiply \frac{11}{15} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 5}{15\times 2}$$

Do the multiplications in the fraction \frac{11\times 5}{15\times 2}.

$$\frac{55}{30}$$

Reduce the fraction \frac{55}{30} to lowest terms by extracting and canceling out 5.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$