NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.5
NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.5 (Ex. 7.5) Fractions all question answers free to use online or download in PDF file format. All the contents are updated according to latest CBSE Syllabus 2020-2021.In exercise 7.5 of class 8 Maths, questions are based on addition subtraction of simple fractions with some word problems. Take help from videos solution, if someone face difficulty to understand in PDF question answers.
Class 6 Maths Chapter 7 Exercise 7.5 Solution
|Exercise: 7.5||Text and Video Solutions|
CBSE NCERT Class 6 Maths Chapter 7 Exercise 7.5 Solution in Hindi and English Medium
Class 6 Maths Chapter 7 Exercise 7.5 Solution in Videos
Comparing and Ordering of Fractions
Comparing Like Fractions
(i) 4/9 < 7/9 or 7/9 > 4/9
(ii) 17/19 > 12/19 or 12/19 < 17/19
We have also learnt that three or more like fractions can be arranged in ascending or descending order by arranging their numerators in ascending or descending order.
For example, the fractions
7/10, 1/10, 4/10, 3/10 can be arranged in the ascending order as 1/10 < 3/10 < 4/10 < 7/10 Similarly, the fractions 5/17, 2/17, 6/17, 9/17 can be arranged in the descending order as 9/17 > 6/17 > 5/17 > 2/17
Out of two fractions with the same numerator, the one with smaller denominator is greater of the two.
(i) 4/7 > 4/10
(ii) 2/3 > 2/5
(iii) 10/13 > 10/15
Comparing Unlike Fractions
For comparing two unlike fractions we have the following rule.
To compare two unlike fractions, we convert them into equivalent fractions by finding LCM of their denominators. Then the fractions having the larger numerator is larger than the one having the smaller numerator.
Compare the fractions 2/5 and 3/8.
The LCM of denominators 5 and 8 is 40
Therefore, we convert 2/5 and 3/8 into like fractions each having denominator 40.
2/5 = (2 x 8)/(5 x 8) = 16/40
And 3/8 = (3 x 5)/ (8 x 5) = 15/40
Now, 16/40 and 15/40 are like fractions.
Clearly, 16 > 15
So, 16/40 > 15/40
Alternative Method of Comparing Two Fractions
Let a/b and c/d be the two given fractions. To compare these fractions, we cross multiply, as shown:
Then we find the cross products ad and bc.
(i) If ad > bc then a/b > c/d.
(ii) If ad < bc then a/b < c/d. (iii) If ad = bc then a/b = c/d.
Compare the fractions 5/9 and 6/13.
By cross multiplying, we get:
5 × 13 = 65 and 9 × 6 = 54
Clearly, 65 > 54
Hence, 5/9 > 6/13
What is the meaning of unlike fraction?
Unlike fractions are fractions that have different denominators. Examples. The first fraction below has a denominator of two and the second fraction below has a denominator of three. Since the denominators are different, they are unlike fractions.
How do you find unlike fractions?
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
How do you add and subtract unlike fractions?
When the Denominators Are Unlike or Different
When all denominators are alike, simply add or subtract the numerators and place the result over the common denominator. The resulting fraction can be simplified to lowest terms or written as a mixed number.