NCERT Solutions for Class 7 Maths Chapter 2 Exercise 2.1
NCERT Solutions for Class 7 Maths Chapter 2 Exercise 2.1 (Ex. 2.1) Fractions and Decimals in Hindi and English Medium updated for academic session 2020-2021. All the contents are available in PDF and Videos format free to use online or download.In class 7 math exercise 2.1, we will learn to add fraction in taking LCM and compare the given fractions. Word problems based on addition and subtraction of fraction is also given in ex. 2.1 of class vii math.
Class 7 Maths Chapter 2 Exercise 2.1 Solution
|Chapter: 2||Fractions and Decimals|
|Exercise: 2.1||Hindi and English Medium Solutions|
CBSE NCERT Class 7 Maths Chapter 2 Exercise 2.1 Solution in Hindi and English Medium
Class 7 Maths Chapter 2 Exercise 2.1 Solution in Videos
The numbers of the form a/b, where a and b are natural numbers, are known as fractions.
In a/b, we call a as numerator and b as denominator and b ≠ o
(i) 3/5, is a fraction in which numerator = 3 and denominator = 5.
(ii) 17/6, is a fraction in which numerator = 17 and denominator = 6.
(iii) 17/8, is a fraction in which numerator = 17 and denominator = 8.
Various Types of Fractions
(i) Decimal fraction:
A fraction whose denominator is any of the number 10, 100, 1000, etc. is called a decimal fraction.
Example: Each of the fractions 3/10, 27/100, 31/1000, etc., is a decimal fraction.
(ii) Vulgar fraction:
A fraction whose denominator is a whole number other than 10, 100, 1000, etc., is called a vulgar fraction.
Example: 2/9, 4/13, 13/20, 27/209 etc., are all vulgar fractions.
(iii) Proper fraction:
A fraction whose numerator is less than its denominator, is called proper fraction.
Example: 3/7, 5/11, 23/40, 73/100 etc., are all proper fractions.
(iv) Improper fraction:
A fraction whose numerator is more than or equal to its denominator, is called an improper fraction.
Example: 11/7, 25/11, 41/36, 53/100 etc., are all improper fractions.
(v) Mixed fraction:
A number which can be expressed as the sum of a natural and a proper fraction, is called a mixed fraction.
Example: 1(3/4), 7(9/13), 12(6/25), etc., are all mixed fractions.
Convert each of the following into an improper fraction: (i) 1(3/4), (ii) 7(9/13), (iii) 12(6/25)
(i) 1(3/4) = (1 x 4 + 3)/4 = 7/4
(ii) 7(9/13) = (7 x 13 + 9)/13 = 100/13
(iii) 12(6/25) = (12 x 25 + 6)/25 = 306/25
Convert each of the following into a mixed fraction: (i) 38/7 (ii) 47/15 (iii) 189/16
(i) 38/7 = 5(3/7)
(ii) 47/15 = 3(2/15)
(iii) 189/16 = 11(13/16)
An Important Property:
If the numerator and the denominator of a fraction are both multiplied by the same nonzero number, then its value is not changed.
Thus, ¾ = (3 x 3)/ (4 x 3) = (3 x 4)/(4 x 4), etc.
(vi) Equivalent fractions:
A given fraction and the fraction obtained by multiplying (or dividing) its numerator and denominator by the same nonzero number, are called equivalent fractions.
Thus 3/4, 6/8, 9/12, 12/16, etc., are all equivalent fractions.
(vii) Like fractions:
Fractions having the same denominator but different numerators are called like fractions.
Example: 5/14, 9/14, 11/14, etc., are all like fractions.
(viii) Unlike fractions:
Fractions having the different denominators are called unlike fractions.
Example: 2/5, 5/7, 9/13, etc., are all like fractions.
Fractions are used in baking to tell how much of an ingredient to use. Fractions are used in telling time; each minute is a fraction of the hour. Finally, fractions are used to determine discounts when there’s a sale going on.
What are three things about fractions?
A Proper Fraction has a numerator that is smaller than its denominator and represents a quantity less than the whole, or < 1: 1/5, 2/5, 3/5, and 4/5 are proper fractions. An Improper Fraction has a numerator larger than its denominator and represents a quantity greater than the whole, or > 1:
How do we multiply fractions?
The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.