Solve left(5/8-1/5right)/1frac{1{4}}

$$\frac{ \left( \frac{ 5 }{ 8 } - \frac{ 1 }{ 5 } \right) }{ 1 \frac{ 1 }{ 4 } }$$

Evaluate

$$\frac{17}{50}=0.34$$

Solution Steps

Least common multiple of 8 and 5 is 40. Convert \frac{5}{8} and \frac{1}{5} to fractions with denominator 40.

$$\frac{\frac{25}{40}-\frac{8}{40}}{\frac{1\times 4+1}{4}}$$

Since \frac{25}{40} and \frac{8}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{25-8}{40}}{\frac{1\times 4+1}{4}}$$

Subtract 8 from 25 to get 17.

$$\frac{\frac{17}{40}}{\frac{1\times 4+1}{4}}$$

Multiply 1 and 4 to get 4.

$$\frac{\frac{17}{40}}{\frac{4+1}{4}}$$

Add 4 and 1 to get 5.

$$\frac{\frac{17}{40}}{\frac{5}{4}}$$

Divide \frac{17}{40} by \frac{5}{4} by multiplying \frac{17}{40} by the reciprocal of \frac{5}{4}.

$$\frac{17}{40}\times \frac{4}{5}$$

Multiply \frac{17}{40} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 4}{40\times 5}$$

Do the multiplications in the fraction \frac{17\times 4}{40\times 5}.

$$\frac{68}{200}$$

Reduce the fraction \frac{68}{200} to lowest terms by extracting and canceling out 4.

$$\frac{17}{50}$$

Factor

$$\frac{17}{2 \cdot 5 ^ {2}} = 0.34$$