Question

9.2: find the value of the difference 1. find the value of the expression \\(\frac{16}{12} - \frac{3}{6}\\). explain or show your reason

Explanation:

Step1: Find a common denominator

To subtract the fractions, we need a common denominator. The denominators are 12 and 6. The least common denominator is 12. We rewrite $\frac{3}{6}$ with denominator 12: $\frac{3}{6}=\frac{3\times2}{6\times2}=\frac{6}{12}$.

Step2: Subtract the fractions

Now we subtract the numerators: $\frac{16}{12}-\frac{6}{12}=\frac{16 - 6}{12}=\frac{10}{12}$.

Step3: Simplify the result

Simplify $\frac{10}{12}$ by dividing numerator and denominator by their greatest common divisor, which is 2: $\frac{10\div2}{12\div2}=\frac{5}{6}$.

Answer:

$\frac{5}{6}$