Solve 9/5-3/4/6

$$\frac { \frac { 9 } { 5 } - \frac { 3 } { 4 } } { 6 }$$

Evaluate

$$\frac{7}{40}=0.175$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{9}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{\frac{36}{20}-\frac{15}{20}}{6}$$

Since \frac{36}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{36-15}{20}}{6}$$

Subtract 15 from 36 to get 21.

$$\frac{\frac{21}{20}}{6}$$

Express \frac{\frac{21}{20}}{6} as a single fraction.

$$\frac{21}{20\times 6}$$

Multiply 20 and 6 to get 120.

$$\frac{21}{120}$$

Reduce the fraction \frac{21}{120} to lowest terms by extracting and canceling out 3.

$$\frac{7}{40}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 5} = 0.175$$