Question

Column A	Column B
\(\frac{3}{7} + \frac{2}{7}\)	\(1\)

Hint:

When comparing a proper fraction (numerator < denominator) to 1, the fraction is always smaller. This can save you calculation time.

Answer 1

Step 1: Understanding the Concept:
This problem requires the addition of two fractions with a common denominator and then comparing the result to the integer 1.
Step 2: Key Formula or Approach:
To add fractions with the same denominator, you add the numerators and keep the denominator the same: \(\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}\).
Step 3: Detailed Explanation:
For Column A:
The expression is \(\frac{3}{7} + \frac{2}{7}\).
Since the denominators are the same, we add the numerators:
\[ \frac{3 + 2}{7} = \frac{5}{7} \] So, the value of Column A is \(\frac{5}{7}\).
For Column B:
The value is 1.
Step 4: Final Answer:
Now we compare Column A and Column B.
Column A = \(\frac{5}{7}\)
Column B = 1
A fraction is less than 1 if its numerator is less than its denominator. Here, \(5<7\), so \(\frac{5}{7}<1\).
Therefore, the quantity in Column B is greater.