Samacheer Kalvi Class 4 Maths Solutions Term 2 Chapter 6 Fraction Exercise 6.6

I. Circle the Greater Fractions

Question 1. \( \frac{1}{3}, \frac{2}{3} \)
Answer: When fractions have the same bottom number (denominator), the fraction with the larger top number (numerator) is the greater fraction. Here, \( \frac{2}{3} \) is greater than \( \frac{1}{3} \) because 2 is greater than 1.
In simple words: When the bottom numbers are the same, the fraction with the bigger top number is the larger one. So, \( \frac{2}{3} \) is bigger than \( \frac{1}{3} \).

🎯 Exam Tip: To compare fractions with the same denominator, simply look at the numerators. The fraction with the larger numerator is the greater fraction.

Question 2. \( \frac{3}{4}, \frac{1}{4} \)
Answer: Since both fractions have the same denominator, 4, we compare their numerators. The numerator 3 is greater than 1, so \( \frac{3}{4} \) is the greater fraction. Understanding common denominators simplifies fraction comparison.
In simple words: Look at the top numbers when the bottom numbers are the same. Since 3 is bigger than 1, then \( \frac{3}{4} \) is the bigger fraction.

🎯 Exam Tip: Always make sure to check if the denominators are the same before comparing numerators directly. If they are different, you must find a common denominator first.

Question 3. \( \frac{2}{5}, \frac{4}{5} \)
Answer: Both fractions have a denominator of 5. Comparing their numerators, 4 is greater than 2, so \( \frac{4}{5} \) is the greater fraction. This method works well for fractions sharing the same total parts.
In simple words: When the parts are the same size, the fraction with more shaded parts is the bigger one. So, \( \frac{4}{5} \) is bigger than \( \frac{2}{5} \).

🎯 Exam Tip: Visualizing fractions with common denominators (like parts of a whole pie or bar) can make it much easier to compare their sizes.

Question 4. \( \frac{6}{8}, \frac{3}{8} \)
Answer: Since both fractions share the same denominator, 8, we simply compare their numerators. As 6 is greater than 3, \( \frac{6}{8} \) is the greater fraction. This comparison method is efficient for equally divided wholes.
In simple words: With the same bottom number, compare the top numbers. Since 6 is larger than 3, the fraction \( \frac{6}{8} \) is the bigger one.

🎯 Exam Tip: Remember, the denominator tells you how many equal parts make a whole, and the numerator tells you how many of those parts you have.

Question 5. \( \frac{4}{10}, \frac{3}{10} \)
Answer: Both fractions have a denominator of 10. Comparing the numerators, 4 is greater than 3, making \( \frac{4}{10} \) the greater fraction. This principle is fundamental for ordering fractions.
In simple words: Both fractions are out of 10. Since 4 is more than 3, \( \frac{4}{10} \) is the bigger fraction.

🎯 Exam Tip: Imagine you have a pizza cut into 10 slices. 4 slices is more than 3 slices, which helps understand why 4/10 > 3/10.

Question 6. \( \frac{2}{9}, \frac{7}{9} \)
Answer: For fractions with the same denominator (9), the one with the larger numerator is the greater fraction. Here, 7 is greater than 2, so \( \frac{7}{9} \) is the greater fraction. This rule makes comparing simple and direct.
In simple words: When comparing fractions with the same total parts, the one with more shaded parts is larger. So, \( \frac{7}{9} \) is bigger than \( \frac{2}{9} \).

🎯 Exam Tip: Always confirm that the 'whole' (represented by the denominator) is the same when comparing fractions visually or numerically.

II. Tick the Small Fractions

Question 1.
Answer: We are comparing \( \frac{1}{4} \) and \( \frac{3}{4} \). Both fractions have the same denominator, 4. To find the smaller fraction, we look for the smaller numerator. Since 1 is smaller than 3, \( \frac{1}{4} \) is the smaller fraction.
In simple words: When the whole is divided into the same number of parts, the fraction with fewer shaded parts is the smaller one. So, \( \frac{1}{4} \) is smaller than \( \frac{3}{4} \).

🎯 Exam Tip: Always remember that "smaller" means representing a lesser quantity, which is found by comparing the numerator when denominators are the same.

Question 2.
Answer: We need to compare \( \frac{2}{4} \) and \( \frac{3}{4} \). Both rectangles are divided into 4 equal parts. By comparing their shaded parts (numerators), 2 is smaller than 3, which means \( \frac{2}{4} \) is the smaller fraction. Visualizing fractions as shaded areas helps in easy comparison.
In simple words: Look at the number of shaded parts. Two parts out of four is less than three parts out of four. So, \( \frac{2}{4} \) is the smaller fraction.

🎯 Exam Tip: When comparing rectangular fraction models, count the number of shaded segments to quickly determine which fraction is smaller or larger.

Question 3.
Answer: We are comparing \( \frac{1}{2} \) and \( \frac{3}{4} \). To compare fractions with different denominators, we find a common denominator. \( \frac{1}{2} \) can be rewritten as \( \frac{2}{4} \). Now, comparing \( \frac{2}{4} \) and \( \frac{3}{4} \), we see that 2 is smaller than 3, so \( \frac{1}{2} \) (or \( \frac{2}{4} \)) is the smaller fraction.
In simple words: To compare \( \frac{1}{2} \) and \( \frac{3}{4} \), make their bottom numbers the same. \( \frac{1}{2} \) is the same as \( \frac{2}{4} \). Since 2 is smaller than 3, \( \frac{2}{4} \) (or \( \frac{1}{2} \)) is the smaller fraction.

🎯 Exam Tip: When comparing fractions with different denominators, always find a common denominator first to accurately see which fraction represents a smaller or larger part of the whole.