NCERT Solutions for Class 7 Maths Chapter 2 Exercise 2.2

NCERT Solutions for Class 7 Maths Chapter 2 Exercise 2.2 (Ex. 2.2) Fractions and Decimals updated for new academic session 2021-2022 for CBSE and State board students. All the contents are solved step by step procedure using easier method.

In class 7 math exercise 2.2 we practice the questions of fraction using pictures. Here we will also learn to convert mixed fraction to improper and improper to mixed fraction.

Class 7 Maths Chapter 2 Exercise 2.2 Solution




Class: 7Mathematics
Chapter: 2Fractions and Decimals
Exercise: 2.2PDF and Videos Solution

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Class 7 Maths Chapter 2 Exercise 2.2 Solution in Videos

Class 7 Maths Chapter 2 Exercise 2.2 Solution
Class 7 Maths Exercise 2.2 Question 1, 2, 3 Explanation



Class 7 Maths Exercise 2.2 Question 4, 5, 6 Explanation
Class 7 Maths Exercise 2.2 Question 7, 8 Explanation
Method of Changing Unlike Fractions to Like Fractions

Step 1. Find the LCM of the denominators of all the given fractions.
Step 2. Change each of the given fractions into an equivalent fraction having denominator equal to the LCM of the denominators of the given fractions.

Class 7 Maths Exercise 2.2 Practice Questions

Convert the fractions 5/6, 7/9, 11/12 into like fractions.

LCM of 6, 9, 12 = (3 x 2 x 3 x 2) = 36.
Now, 5/6 = (5 x 6)/ (6 x 6) = 30/36
7/9 = (7 x 4)/ (9 x 4) = 28/36
11/12 = (11 x 3)/ (12 x 3) = 33/36
Clearly, 30/36, 28/36, 33/36 are like fractions.

Convert 84/98 into irreducible form.

First we find the HCF of 84 and 98.
Clearly. HCF of 84 and 98 is 14.
So, we divide the numerator and denominator of the given fraction by 14.
So, 84/98 = (84/14)/ (98/14) = 6/7
Hence, 84/98 in irreducible form is 6/7.

Compare the fractions: (i) 3/5, 5/8 (ii) 9/16, 13/24

(i) By cross multiplication, we have:
3 x 8 = 24 and 5 x 5 = 25.
But, 24 < 25. So, 3/5 < 5/8 (ii) By cross multiplication, we have: 9 x 24 = 216 and 16 x 13 = 208. But, 216 > 208
So, 9/16 > 13/24

Arrange the factions 2/5, 3/10, 9/14, 16/35 in ascending order.

The given fractions are 2/5, 3/10, 9/14, 16/35
LCM of 5, 10, 14, 35 = (5 x 2 x 7) = 70.
Now, let us change each of the given fractions into an equivalent fraction having 70 as its denominator.
Now, 2/5 = (2 x 14)/ (5 x 14) = 28/70
3/10 = (3 x 7)/ (10 x 7) = 21/70
9/14 = (9 x 5)/ (14 x 5) = 45/70
16/35 = (16 x 2)/ (35 x 2) = 32/70
21/70 < 28/70 < 32/70 < 45/70 Hence, the given fractions in ascending order are 3/10 < 2/5 < 16/35 < 9/14

(ix) Irreducible fractions:

A fraction a/b is said to be irreducible or in lowest terms, if HCF of a and b is 1. If HCF of a and b is other than 1 than a/b is said to be reducible.

Comparing Fractions

Let a/b and c/d be two given fraction. Then,
(i) a/b > c/d or ad > bc
(ii) a/b = c/d or ad = bc
(iii) a/b < c/d or ad < bc




Method of Comparing More Than Two Fractions

Step 1. Find the LCM of the denominators of the given fractions. Let it be m.
Step 2. Convert all the given fractions into like fractions, each having m as denominator.
Step 3. Now, if we compare any two of these like fractions, then the one having larger numerator is larger.

Addition and Subtraction of Fractions

Addition of Fractions

Rule 1. For adding two like fractions, the numerators are added and the denominator remains the same.
Examples:
(i) 2/9 + 5/9 = (2 + 5)/9 = 7/9
(ii) 8/15 + 6/15 = (8 + 6)/15 = 14/15

Rule 2. For addition of two unlike fractions. first change them to like fractions and then add them as given in Rule 1.
Example: add 3/10 + 8/15
LCM of 10 and 15 = (5 x 2 x 3) = 30.
So, 3/10 = (3 x 3)/ (10 x 3) = 9/30 and 8/15 = (8 x 2)/ (15 x 2) = 16/30
Now, 9/30 + 16/30 = 25/30 = 5/6

Properties of Addition of Fractions:

(i) Addition of fractions is associative, i.e., (a/b + c/d) + e/f = a/b + (c/d + e/f)
(ii) Addition of fractions is commutative, i.e., (a/b + c/d) = (c/d = a/b)

Class 7 Maths Exercise 2.2 Important Questions

How do you add a whole number and a fraction?

To add mixed numbers, we first add the whole numbers together, and then the fractions. …
If the denominators of the fractions are different, then first find equivalent fractions with a common denominator before adding.

How do you solve fraction addition problems?

Step 1: Make sure the bottom numbers (the denominators) are the same. Step
2: Add the top numbers (the numerators), put that answer over the denominator. Step
3: Simplify the fraction (if needed)

How do you add mixed fractions step by step?

The steps are the same whether you’re adding or subtracting mixed numbers:
Find the Least Common Denominator (LCD)
Find the equivalent fractions.
Add or subtract the fractions and add or subtract the whole numbers.
Write your answer in lowest terms.

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