Question

2 - \frac{10}{6} =

Explanation:

Step1: Convert 2 to sixth - fraction

To subtract a fraction from an integer, we first convert the integer to a fraction with the same denominator as the given fraction. The denominator of the fraction \(\frac{10}{6}\) is 6. So, we convert 2 to a fraction with denominator 6. We know that \(2=\frac{2\times6}{6}=\frac{12}{6}\).

Step2: Subtract the two fractions

Now we subtract \(\frac{10}{6}\) from \(\frac{12}{6}\). Using the rule for subtracting fractions with the same denominator \(\frac{a}{c}-\frac{b}{c}=\frac{a - b}{c}\) (where \(a = 12\), \(b = 10\), and \(c = 6\)), we have \(\frac{12}{6}-\frac{10}{6}=\frac{12 - 10}{6}=\frac{2}{6}\).

Step3: Simplify the result

We can simplify \(\frac{2}{6}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, \(\frac{2\div2}{6\div2}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)