Solve 3/5+5/3-3/4=

$$\frac{ 3 }{ 5 } + \frac{ 5 }{ 3 } - \frac{ 3 }{ 4 } =$$

Evaluate

$$\frac{91}{60}\approx 1.516666667$$

Solution Steps

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

$$\frac{9}{15}+\frac{25}{15}-\frac{3}{4}$$

Since \frac{9}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$\frac{9+25}{15}-\frac{3}{4}$$

Add 9 and 25 to get 34.

$$\frac{34}{15}-\frac{3}{4}$$

Least common multiple of 15 and 4 is 60. Convert \frac{34}{15} and \frac{3}{4} to fractions with denominator 60.

$$\frac{136}{60}-\frac{45}{60}$$

Since \frac{136}{60} and \frac{45}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-45}{60}$$

Subtract 45 from 136 to get 91.

$$\frac{91}{60}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{31}{60} = 1.5166666666666666$$