Question

subtract the fractions.
$\frac{5}{6} - \frac{1}{6}$

Explanation:

Step1: Identify the fraction subtraction rule for like denominators

When subtracting fractions with the same denominator, we subtract the numerators and keep the denominator the same. The formula is $\frac{a}{c}-\frac{b}{c}=\frac{a - b}{c}$, where $a = 5$, $b = 1$, and $c = 6$.

Step2: Apply the rule to the given fractions

For $\frac{5}{6}-\frac{1}{6}$, we subtract the numerators: $5 - 1 = 4$, and keep the denominator $6$. So we get $\frac{5 - 1}{6}=\frac{4}{6}$.

Step3: Simplify the resulting fraction (optional, but common)

We can simplify $\frac{4}{6}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So $\frac{4\div2}{6\div2}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$ (or $\frac{4}{6}$ if not simplified)