Samacheer Kalvi Class 5 Maths Solutions Term 3 Chapter 6 Fractions Exercise 6.6

Question 1. Subtract the following.
(i) \( \frac{4}{7} - \frac{1}{7} \)
(ii) \( \frac{4}{8} - \frac{3}{8} \)
(iii) \( \frac{5}{9} - \frac{1}{9} \)
(iv) \( \frac{7}{11} - \frac{3}{11} \)
(v) \( \frac{7}{13} - \frac{4}{13} \)
(vi) \( \frac{5}{10} - \frac{3}{10} \)
(vii) \( \frac{7}{12} - \frac{2}{12} \)
(viii) \( \frac{8}{15} - \frac{2}{15} \)
Answer:
(i) \( \frac{4}{7} - \frac{1}{7} = \frac{4-1}{7} = \frac{3}{7} \)
(ii) \( \frac{4}{8} - \frac{3}{8} = \frac{4-3}{8} = \frac{1}{8} \)
(iii) \( \frac{5}{9} - \frac{1}{9} = \frac{5-1}{9} = \frac{4}{9} \)
(iv) \( \frac{7}{11} - \frac{3}{11} = \frac{7-3}{11} = \frac{4}{11} \)
(v) \( \frac{7}{13} - \frac{4}{13} = \frac{7-4}{13} = \frac{3}{13} \)
(vi) \( \frac{5}{10} - \frac{3}{10} = \frac{5-3}{10} = \frac{2}{10} \)
(vii) \( \frac{7}{12} - \frac{2}{12} = \frac{7-2}{12} = \frac{5}{12} \)
(viii) \( \frac{8}{15} - \frac{2}{15} = \frac{8-2}{15} = \frac{6}{15} \) Subtracting fractions with the same bottom number (denominator) means we only subtract the top numbers (numerators) and keep the bottom number the same. This makes it easy to find the difference directly.
In simple words: When fractions have the same bottom number, you just subtract the top numbers and keep the bottom number as it is.

🎯 Exam Tip: Always check if the denominators are the same before subtracting or adding fractions. If they are different, you must find a common denominator first.

Question 2. \( \frac{5}{10} \) of a wall is to be painted. Ramu painted \( \frac{2}{10} \) of it. How much more is to be painted?
Answer: The total part of the wall to be painted is \( \frac{5}{10} \). Ramu has already painted \( \frac{2}{10} \) of the wall. To find out how much more needs to be painted, we subtract the painted part from the total part.
Difference \( = \frac{5}{10} - \frac{2}{10} \)
\( = \frac{5-2}{10} \)
\( = \frac{3}{10} \) So, \( \frac{3}{10} \) of the wall still needs to be painted. This calculation helps us see the remaining task clearly.
In simple words: We need to paint \( \frac{5}{10} \) of a wall. Ramu painted \( \frac{2}{10} \). To find how much is left, we take away what he painted from the total: \( \frac{5}{10} - \frac{2}{10} = \frac{3}{10} \).

🎯 Exam Tip: For word problems involving fractions, always identify the total amount, the amount already processed, and what operation (addition or subtraction) is needed to find the answer.