CBSE Class 4 Maths Fractions HOTs

HOTS

1. Rahul has made a design with colours as shown. Observe the design carefully and find the fraction of each colour. 

Answer: Red = 1/2 , Green = 1/8 , Blue = 1/8 , Orange / Yellow = 1/16 , Pink/Grey/Brown/Indigo= 1/32 

2. • I am less than double of 4.
• I am a mixed number.
• My whole number part is even.
• I am closer to 3 than to 5.
Who am I? 

Answer: 2(1)/2

3. A student spent 1/2 of his money on books. He also spent 1/3 of the money on notebooks. If he still had ₹ 50, how much money did he have in total?
Answer: ₹ 300

4. What should be placed in empty space so that the sum of the fractions along each side of the triangle is same? 

Answer: 8/15

5. Samir counted 36 birds in his neighbourhood. He found doves, crows, parrots, mynas, bulbuls and some other birds whose names he did not know.
2/9 of the birds he saw were doves, 4/9 were crows, 3 birds were parrots, 2 were mynas and 2 were bulbuls.
What is the number and fraction of the birds whose names he did not know?
Answer: 5 birds, 5/36

6. You and your three friends are at home. All of you share the cake equally :
a. What fraction of the cake does each one of you get?
However, if you decide not to eat the whole cake but give away half of the cake to four other poor
children and share the rest :
b. What fraction of the cake do you get now?
c. What fraction of the cake does each poor child get?
Answer: a. 1/4 b. 1/8 c. 1/8

7. A box contains 72 apples, eight in each dozen are good. What fraction of the box contains rotten apples?
Answer: 1/3 of box contains rotten apples.

8. Use the clues to find the correct answer from 8 possibilities.
Clues : I am greater than 1
I am less than 2
I am an improper fraction
I am closer to 2 than 1
Who am I?
Possibilities 

Answer: 7/4

SUMMARY

1. A fraction is an equal part of a whole or a collection.

2. Equivalent fraction means the same amount.

3. The fractions are equivalent if the cross products are equal.

4. A fraction is in the lowest term if the only common factor of the numerator and denominator is 1.

5. Fraction with numerator 1 is called a unit fraction.

6. Fractions having same denominators are called like fractions.

7. When numerator of a fraction is greater than or equal to its denominator, it is an improper fraction.

8. When denominator of a fraction is greater than its numerator, it is a proper fraction.

9. When we combine a whole number with a proper fraction, we get a mixed number.

10. To compare unlike fractions, we first convert them into like fractions and then compare them.

ERRORANALYSIS

1. Converting mixed fraction to improper fraction.

2. Ordering unlike fractions with same numerator.

3. While adding unlike fractions, students tend to add numerators together and denominators together.
They skip finding LCM of denominators.

ACTIVITY

Equivalent Fractions
Objective: To develop the concept of equivalent fractions.

Materials Required: Cardboard pieces of 10 cm x 10 cm, crayons and rubber bands.
Preparation: Students work independently with 3 pieces of cardboard.

Steps: 
1. Students colour half of each cardboard piece.  

Record the Activity:

1/2 = 2/4 = 3/6

Try this out:

Use fresh cardboard squares to find the following.