RBSE Solutions Class 5 Maths Chapter 6 Understanding the Fractions More Questions

Question 1. Write fraction of shaded area in the given picture.
(a) \( \frac { 2 }{ 3 } \)
(b) \( \frac { 1 }{ 2 } \)
(c) \( \frac { 1 }{ 3 } \)
(d) \( \frac { 2 }{ 1 } \)
Answer: (c) \( \frac { 1 }{ 3 } \)
In simple words: The picture shows a circle divided into 3 equal parts, and one of these parts is shaded. So, the shaded area is one-third of the whole circle. This is written as `\( \frac{1}{3} \)`.

🎯 Exam Tip: To find the fraction of a shaded area, count the shaded parts and divide by the total number of equal parts.

Question 2. See the number line and find which fraction number would be in the box.
(a) \( 4 \frac { 1 }{ 3 } \)
(b) \( 3 \frac { 1 }{ 3 } \)
(c) \( 1 \frac { 3 }{ 4 } \)
(d) \( 3 \frac { 1 }{ 4 } \)
Answer: (d) \( 3 \frac { 1 }{ 4 } \)
In simple words: The number line shows a point between 3 and 4. This point is at the first mark after 3, and there are 4 marks between 3 and 4. So, it represents 3 whole units and `\( \frac{1}{4} \)` of the next unit, making it `\( 3 \frac{1}{4} \)`.

🎯 Exam Tip: When reading a mixed fraction on a number line, first identify the whole number, then count the divisions between the whole numbers to find the denominator, and finally count the tick marks to find the numerator.

Question 3. Any object is divided in 9 equal parts and out of these five parts where taken then sh
Answer: If an object is divided into 9 equal parts and 5 parts are taken, the fraction represented is `\( \frac{5}{9} \)`.
In simple words: When you have 9 equal pieces of something and you pick 5 of them, you have `\( \frac{5}{9} \)` of the total thing.

🎯 Exam Tip: The fraction numerator shows the number of parts considered, and the denominator shows the total number of equal parts.

Question 4. Sign comes in the blank 7 + \( \frac { 1 }{ 4 } \) ........ \( \frac { 1 }{ 4 } \) + 7
(a) =
(b) >
(c) <
(d) ≠
Answer: (a) =
In simple words: Both sides of the blank show the same numbers being added together: 7 and `\( \frac{1}{4} \)`. The order of adding numbers does not change the sum, so they are equal.

🎯 Exam Tip: Remember that addition is commutative, meaning `a + b` is always equal to `b + a`.

Question 5. 4 parts out of 10 of any object is-
(a) 4 = 10
(b) \( \frac { 10 }{ 4 } \)
(c) 4 ≠ 10
(d) \( \frac { 4 }{ 10 } \)
Answer: (d) \( \frac { 4 }{ 10 } \)
In simple words: When you take 4 parts from a total of 10 equal parts, this is written as the fraction `\( \frac{4}{10} \)`. The total parts go at the bottom, and the chosen parts go on top.

🎯 Exam Tip: In a fraction, the numerator tells you how many parts you have, and the denominator tells you how many total equal parts make up the whole.

Question 6. Word meaning of fraction is -
(a) 1 part out of three equal parts of any object
(b) Parts made up of three objects
(c) Three unequal parts of any one
(d) None of the options
Answer: (a) 1 part out of three equal parts of any object
In simple words: A fraction means taking a part or several parts from a whole thing that has been divided into equal pieces. For example, `\( \frac{1}{3} \)` means one part out of three equal parts.

🎯 Exam Tip: The core idea of a fraction is that it represents a part of a whole, where the parts must always be equal in size.

Question 7. Sign comes in the blank 5 + \( \frac { 1 }{ 2 } \) ........ 5 + \( \frac { 1 }{ 3 } \)
(a) <
(b) =
(c) ≠
(d) >
Answer: (d) >
In simple words: We are comparing `\( 5 \frac{1}{2} \)` and `\( 5 \frac{1}{3} \)`. Since `\( \frac{1}{2} \)` (half) is larger than `\( \frac{1}{3} \)` (one-third), `\( 5 \frac{1}{2} \)` is greater than `\( 5 \frac{1}{3} \)`.

🎯 Exam Tip: When comparing mixed fractions, if the whole number parts are the same, compare the fractional parts to determine which is greater or smaller.

Question 8. Number of numbers represented on a number line is ........
(a) Four
(b) Processing math: 2%
Answer: On a number line, an infinite number of numbers can be represented. It includes all real numbers, like whole numbers, fractions, and decimals.
In simple words: There are endless numbers on a number line. You can always find a new number between any two numbers, no matter how close they are.

🎯 Exam Tip: A number line isn't just for whole numbers; it continuously represents all real numbers, making the total count infinite.

Question 10. Two and three upon five can be written as
(a) \( 2 \frac { 2 }{ 5 } \)
(b) \( 5 \frac { 2 }{ 3 } \)
(c) \( 3 \frac { 2 }{ 5 } \)
(d) \( 2 \frac { 3 }{ 5 } \)
Answer: (d) \( 2 \frac { 3 }{ 5 } \)
In simple words: "Two and three upon five" means you have a whole number 2, and a fraction `\( \frac{3}{5} \)`. When put together, it forms the mixed fraction `\( 2 \frac{3}{5} \)`.

🎯 Exam Tip: Understand the structure of mixed fractions: the "and" separates the whole number from the fractional part.

Fill in the blanks in the following Questions

Question 1. 2 + \( \frac { 1 }{ 2 } \) ........ 2 \( \frac { 1 }{ 4 } \)
Answer: 2 + \( \frac { 1 }{ 2 } \) > 2 \( \frac { 1 }{ 4 } \)
In simple words: `\( 2 \frac{1}{2} \)` is larger than `\( 2 \frac{1}{4} \)` because half is bigger than a quarter. So, we use the greater than sign.

🎯 Exam Tip: Convert mixed fractions to decimals or common fractions if needed for easier comparison, for example `\( 2.5 > 2.25 \)`. Make sure to compare only the fractional parts if the whole numbers are identical.

Question 2. 1 part out of 10 can be written as a fraction ........
Answer: 1 part out of 10 can be written as a fraction `\( \frac { 1 }{ 10 } \)`.
In simple words: When you pick one piece from ten equal pieces, you write it as one over ten. The '1' is the part you picked, and the '10' is how many pieces there were in total.

🎯 Exam Tip: The number of parts selected is the numerator, and the total number of equal parts is the denominator.

Short Answer Type Questions

Question 1. Put suitable sign > or < in the boxes between following fractions
(i) \( 2+\frac { 1 }{ 2 } \) [] \( 2+\frac { 1 }{ 4 } \)
(ii) \( 3+\frac { 3 }{ 4 } \) [] \( 3+\frac { 1 }{ 2 } \)
(iii) \( 7+\frac { 1 }{ 5 } \) [] \( 7+\frac { 1 }{ 2 } \)
(iv) \( 6+\frac { 1 }{ 2 } \) [] \( 6+\frac { 3 }{ 4 } \)
(v) \( 5+\frac { 3 }{ 4 } \) [] \( 5+\frac { 1 }{ 4 } \)
(vi) \( 11+\frac { 1 }{ 2 } \) [] \( 11+\frac { 1 }{ 4 } \)
Answer:
(i) \( 2+\frac { 1 }{ 2 } \) > \( 2+\frac { 1 }{ 4 } \)
(ii) \( 3+\frac { 3 }{ 4 } \) > \( 3+\frac { 1 }{ 2 } \)
(iii) \( 7+\frac { 1 }{ 5 } \) < \( 7+\frac { 1 }{ 2 } \)
(iv) \( 6+\frac { 1 }{ 2 } \) < \( 6+\frac { 3 }{ 4 } \)
(v) \( 5+\frac { 3 }{ 4 } \) > \( 5+\frac { 1 }{ 4 } \)
(vi) \( 11+\frac { 1 }{ 2 } \) > \( 11+\frac { 1 }{ 4 } \)
In simple words: To compare these fractions, look at the fractional parts since the whole numbers are the same. A larger fractional part means a larger mixed number. For instance, half (`\( \frac{1}{2} \)` or 0.5) is bigger than a quarter (`\( \frac{1}{4} \)` or 0.25), and three-quarters (`\( \frac{3}{4} \)` or 0.75) is bigger than a half.

🎯 Exam Tip: If the whole number parts of mixed fractions are the same, compare their fractional parts. If the denominators are different, find a common denominator to compare them easily.

Question 3. See the number line and fill balloons with fraction value.
Answer:
(i) The first balloon is located after 51 and is `\( \frac{1}{5} \)` of the way to 52. So, its value is `\( 51 \frac{1}{5} \)`.
(ii) The second balloon is located after 55 and is `\( \frac{1}{3} \)` of the way to 56. So, its value is `\( 55 \frac{1}{3} \)`.
In simple words: Look at the whole number before the balloon. Then, count how many small lines are between the whole numbers and where the balloon sits among those lines to find the fraction part.

🎯 Exam Tip: To accurately read fractions on a number line, ensure you count the total number of equal divisions between each whole number, which gives you the denominator of the fraction.

Question 4. Represent on number line 5 + \( \frac { 1 }{ 4 } \).
Answer: To represent `\( 5 + \frac{1}{4} \)` or `\( 5 \frac{1}{4} \)` on a number line:
1. Locate the whole number 5.
2. Divide the space between 5 and 6 into 4 equal parts.
3. Mark the first division after 5. This point is `\( 5 \frac{1}{4} \)`.
In simple words: Find the number 5 on the line. Then, divide the space to the next number, 6, into 4 equal small parts. The first small part is where `\( 5 \frac{1}{4} \)` will be.

🎯 Exam Tip: Always make sure the divisions between the whole numbers are equal when marking fractions on a number line.