Solve 24/3+7/5-9/4

$$2 \frac { 4 } { 3 } + \frac { 7 } { 5 } - \frac { 9 } { 4 }$$

Evaluate

$$\frac{149}{60}\approx 2.483333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+4}{3}+\frac{7}{5}-\frac{9}{4}$$

Add 6 and 4 to get 10.

$$\frac{10}{3}+\frac{7}{5}-\frac{9}{4}$$

Least common multiple of 3 and 5 is 15. Convert \frac{10}{3} and \frac{7}{5} to fractions with denominator 15.

$$\frac{50}{15}+\frac{21}{15}-\frac{9}{4}$$

Since \frac{50}{15} and \frac{21}{15} have the same denominator, add them by adding their numerators.

$$\frac{50+21}{15}-\frac{9}{4}$$

Add 50 and 21 to get 71.

$$\frac{71}{15}-\frac{9}{4}$$

Least common multiple of 15 and 4 is 60. Convert \frac{71}{15} and \frac{9}{4} to fractions with denominator 60.

$$\frac{284}{60}-\frac{135}{60}$$

Since \frac{284}{60} and \frac{135}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{284-135}{60}$$

Subtract 135 from 284 to get 149.

$$\frac{149}{60}$$

Factor

$$\frac{149}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{29}{60} = 2.4833333333333334$$