Solve |5/3+-7/4|

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

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

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

Least common multiple of 3 and 4 is 12. Convert \frac{5}{3} and \frac{7}{4} to fractions with denominator 12.

$$|\frac{20}{12}-\frac{21}{12}|$$

Since \frac{20}{12} and \frac{21}{12} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{20-21}{12}|$$

Subtract 21 from 20 to get -1.

$$|-\frac{1}{12}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{1}{12} is \frac{1}{12}.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$