Solve 3/4+2/17-1/15

$$\frac{ 3 }{ 4 } + \frac{ 2 }{ 17 } - \frac{ 1 }{ 15 }$$

Evaluate

$$\frac{817}{1020}\approx 0.800980392$$

Solution Steps

Least common multiple of 4 and 17 is 68. Convert \frac{3}{4} and \frac{2}{17} to fractions with denominator 68.

$$\frac{51}{68}+\frac{8}{68}-\frac{1}{15}$$

Since \frac{51}{68} and \frac{8}{68} have the same denominator, add them by adding their numerators.

$$\frac{51+8}{68}-\frac{1}{15}$$

Add 51 and 8 to get 59.

$$\frac{59}{68}-\frac{1}{15}$$

Least common multiple of 68 and 15 is 1020. Convert \frac{59}{68} and \frac{1}{15} to fractions with denominator 1020.

$$\frac{885}{1020}-\frac{68}{1020}$$

Since \frac{885}{1020} and \frac{68}{1020} have the same denominator, subtract them by subtracting their numerators.

$$\frac{885-68}{1020}$$

Subtract 68 from 885 to get 817.

$$\frac{817}{1020}$$

Factor

$$\frac{19 \cdot 43}{2 ^ {2} \cdot 3 \cdot 5 \cdot 17} = 0.8009803921568628$$