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

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

Evaluate

$$\frac{5}{84}\approx 0.05952381$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{3}{4} to fractions with denominator 12.

$$\frac{8}{12}-\frac{9}{12}+\frac{1}{7}$$

Since \frac{8}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-9}{12}+\frac{1}{7}$$

Subtract 9 from 8 to get -1.

$$-\frac{1}{12}+\frac{1}{7}$$

Least common multiple of 12 and 7 is 84. Convert -\frac{1}{12} and \frac{1}{7} to fractions with denominator 84.

$$-\frac{7}{84}+\frac{12}{84}$$

Since -\frac{7}{84} and \frac{12}{84} have the same denominator, add them by adding their numerators.

$$\frac{-7+12}{84}$$

Add -7 and 12 to get 5.

$$\frac{5}{84}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3 \cdot 7} = 0.05952380952380952$$