Solve 5/3-2/1+7/4

$$\frac { 5 } { 3 } - \frac { 2 } { 1 } + \frac { 7 } { 4 }$$

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Anything divided by one gives itself.

$$\frac{5}{3}-2+\frac{7}{4}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{5}{3}-\frac{6}{3}+\frac{7}{4}$$

Since \frac{5}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-6}{3}+\frac{7}{4}$$

Subtract 6 from 5 to get -1.

$$-\frac{1}{3}+\frac{7}{4}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{1}{3} and \frac{7}{4} to fractions with denominator 12.

$$-\frac{4}{12}+\frac{21}{12}$$

Since -\frac{4}{12} and \frac{21}{12} have the same denominator, add them by adding their numerators.

$$\frac{-4+21}{12}$$

Add -4 and 21 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$