Samacheer Kalvi Class 4 Maths Solutions Term 2 Chapter 6 Fraction Exercise 6.5

Question I. Write the fraction for the shaded portions of the given figures.
(i)
Answer: \( \frac { 1 }{ 4 } \) This fraction shows that one part out of four equal parts is shaded. Fractions are a simple way to represent parts of a whole.
In simple words: The picture shows 1 part shaded out of 4 total parts, so the fraction is one-fourth.

🎯 Exam Tip: Always count the total number of equal parts and the number of shaded parts carefully to form the correct fraction.

Question I. (ii)
Answer: \( \frac { 3 }{ 8 } \) This fraction tells us that three out of eight equal sections are filled with color. Understanding fractions helps in dividing things fairly.
In simple words: Out of 8 total parts, 3 are shaded. So, the fraction is three-eighths.

🎯 Exam Tip: The denominator (bottom number) is always the total number of parts, and the numerator (top number) is the number of selected parts.

Question I. (iii)
Answer: \( \frac { 2 }{ 6 } \) The image shows two parts shaded out of six equal parts. It can also be simplified to \( \frac{1}{3} \).
In simple words: Two out of six parts are shaded, which means the fraction is two-sixths.

🎯 Exam Tip: Remember to always simplify fractions to their lowest terms if possible, though the question asks for the direct fraction from the figure.

Question I. (iv)
Answer: \( \frac { 3 }{ 7 } \) Here, three out of seven equal parts are highlighted. Fractions help us compare how much of something we have.
In simple words: Three parts are shaded from a total of seven parts, making the fraction three-sevenths.

🎯 Exam Tip: Always make sure the parts are equal when determining the fraction of a shaded region.

Question I. (v)
Answer: \( \frac { 2 }{ 4 } \) This fraction shows that two parts are shaded from a total of four equal parts. This can be simplified to \( \frac{1}{2} \), meaning half is shaded.
In simple words: Two parts are shaded from four total parts, so the fraction is two-fourths.

🎯 Exam Tip: Recognize that \( \frac{2}{4} \) is equivalent to \( \frac{1}{2} \), a fundamental concept in fractions.

Question II. Shade the figure according to the fraction.

Question 1. Shade the figure according to the fraction \( \frac{3}{8} \).
Answer: To represent the fraction \( \frac{3}{8} \), you should shade 3 out of the 8 equal parts of the given figure. This shows a portion of the whole.
In simple words: Find the picture that has 8 sections. Then, color in 3 of those sections.

🎯 Exam Tip: Always check that the figure is divided into the correct total number of parts (the denominator) before shading the required number of parts (the numerator).

Question 2. Shade the figure according to the fraction \( \frac{5}{10} \).
Answer: For the fraction \( \frac{5}{10} \), you need to shade 5 of the 10 equal parts in the figure. This means half of the figure should be shaded because \( \frac{5}{10} \) simplifies to \( \frac{1}{2} \).
In simple words: For the picture with 10 boxes, color 5 of them. This is half the picture.

🎯 Exam Tip: Understand that equivalent fractions like \( \frac{5}{10} \) and \( \frac{1}{2} \) represent the same amount of shading.

Question 3. Shade the figure according to the fraction \( \frac{1}{8} \).
Answer: To show \( \frac{1}{8} \), you should shade 1 out of the 8 equal parts in the provided figure. This represents a small portion of the entire shape.
In simple words: Take the picture with 8 parts and color in just 1 of those parts.

🎯 Exam Tip: Shading only one part emphasizes that the numerator specifies the exact quantity to be colored.

Question 4. Shade the figure according to the fraction \( \frac{2}{6} \).
Answer: For the fraction \( \frac{2}{6} \), you need to shade 2 of the 6 equal parts of the triangle. This fraction also simplifies to \( \frac{1}{3} \), meaning one-third of the triangle is shaded.
In simple words: If the triangle has 6 pieces, color in 2 of them. This shows two-sixths of the triangle.

🎯 Exam Tip: Even complex shapes can be represented by fractions if they are divided into equal parts; the principle of shading remains the same.