Question

subtract
\\(\frac{14}{15} - \frac{1}{12}\\)
\\(\frac{14}{15} - \frac{1}{12} = \square\\)
(simplify your answer. type an integer or a simplified fraction.)

Explanation:

Step1: Find a common denominator

The denominators are 15 and 12. The least common multiple of 15 and 12 is 60. So we rewrite the fractions with denominator 60.
$\frac{14}{15}=\frac{14\times4}{15\times4}=\frac{56}{60}$, $\frac{1}{12}=\frac{1\times5}{12\times5}=\frac{5}{60}$

Step2: Subtract the fractions

Now subtract the two fractions: $\frac{56}{60}-\frac{5}{60}=\frac{56 - 5}{60}=\frac{51}{60}$

Step3: Simplify the fraction

Simplify $\frac{51}{60}$ by dividing numerator and denominator by their greatest common divisor, which is 3. $\frac{51\div3}{60\div3}=\frac{17}{20}$

Answer:

$\frac{17}{20}$