Solve 4/7-3/5/4

$$\frac { \frac { 4 } { 7 } - \frac { 3 } { 5 } } { 4 }$$

Evaluate

$$-\frac{1}{140}\approx -0.007142857$$

Solution Steps

Least common multiple of 7 and 5 is 35. Convert \frac{4}{7} and \frac{3}{5} to fractions with denominator 35.

$$\frac{\frac{20}{35}-\frac{21}{35}}{4}$$

Since \frac{20}{35} and \frac{21}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{20-21}{35}}{4}$$

Subtract 21 from 20 to get -1.

$$\frac{-\frac{1}{35}}{4}$$

Express \frac{-\frac{1}{35}}{4} as a single fraction.

$$\frac{-1}{35\times 4}$$

Multiply 35 and 4 to get 140.

$$\frac{-1}{140}$$

Fraction \frac{-1}{140} can be rewritten as -\frac{1}{140} by extracting the negative sign.

$$-\frac{1}{140}$$

Factor

$$-\frac{1}{140} = -0.007142857142857143$$