Solve 0.414/2.414-2.414/0.414

$$\frac { 0.414 } { 2.414 } - \frac { 2.414 } { 0.414 }$$

Evaluate

$$-\frac{1414000}{249849}\approx -5.659418289$$

Solution Steps

Expand \frac{0.414}{2.414} by multiplying both numerator and the denominator by 1000.

$$\frac{414}{2414}-\frac{2.414}{0.414}$$

Reduce the fraction \frac{414}{2414} to lowest terms by extracting and canceling out 2.

$$\frac{207}{1207}-\frac{2.414}{0.414}$$

Expand \frac{2.414}{0.414} by multiplying both numerator and the denominator by 1000.

$$\frac{207}{1207}-\frac{2414}{414}$$

Reduce the fraction \frac{2414}{414} to lowest terms by extracting and canceling out 2.

$$\frac{207}{1207}-\frac{1207}{207}$$

Least common multiple of 1207 and 207 is 249849. Convert \frac{207}{1207} and \frac{1207}{207} to fractions with denominator 249849.

$$\frac{42849}{249849}-\frac{1456849}{249849}$$

Since \frac{42849}{249849} and \frac{1456849}{249849} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42849-1456849}{249849}$$

Subtract 1456849 from 42849 to get -1414000.

$$-\frac{1414000}{249849}$$

Factor

$$-\frac{1414000}{249849} = -5\frac{164755}{249849} = -5.659418288646342$$