Question

Match the following.

• A. $\frac{1}{3}$
• B. $\frac{1}{5}$
• C. 1
• D. $\frac{1}{2}$

Answer 1

Consider $\frac{17}{21}$ and $\frac{10}{21}$, which are like fractions as they have the same denominator.
While subtracting like fractions, we subtract the numerators and keep the denominator as it is.
i.e., $\frac{17}{21}-\frac{10}{21}=\frac{17-10}{21}=\frac{7}{21}$, which is equivalent to $\frac{1}{3}$.
Thus, $\frac{17}{21}-\frac{10}{21}=\frac{1}{3}$
Similarly, $\frac{12}{15}-\frac{9}{15}=\frac{3}{15}=\frac{1}{5}$ and
$\frac{10}{10}-\frac{5}{10}=\frac{5}{10}=\frac{1}{2}$
Now consider the addition of the like fractions$\frac{10}{15}$ and $\frac{5}{15}$. We add the numerators up and keep the denominator as it is. Thus, $\frac{10}{15}+\frac{5}{15}=\frac{10+5}{15}=\frac{15}{15}=1$