Question

Compare the results of the given equations.

$\frac{17}{21}-\frac{11}{21}=A$ $\frac{19}{21}-\frac{4}{21}=B$

• A. $B=A$
• B. $A<B$
• C. None of the above
• D. $A>B$

Answer 1

The correct option is B $A<B$

Let’s solve the problem stepwise

● Observe the fractions: $\frac{17}{21},\frac{11}{21},\frac{19}{21}$ and $\frac{4}{21}$

● The denominator of all the fractions is 21. This means all the fractions have like denominators.

● So we can add or subtract the numerators directly.

● For A: $\frac{17}{21}+\frac{11}{21}=\frac{17-11}{21}=\frac{6}{21}$

● For B: $\frac{19}{21}-\frac{4}{21}=\frac{15}{21}$

● On comparing $\frac{6}{21}$ and $\frac{15}{21}$, we see that both of them have like denominators.

● So, the fraction whose numerator is less than that of the other fraction has a lower value.

● This means, $\frac{6}{21}<\frac{15}{21}$

● Hence, $A<B$.

Thus, B is the correct option.