Class 6 Maths NCERT Solutions for Chapter 7 Fractions Ex – 7.2

Fractions

Question 1.
Draw number lines and locate the points on them:
(a) 
(b) 
(c) 

Solution:
(a) We know that  is greater than zero and less than 1, so it should lie 2 between 0 and 1.
To show  on the number line, we divide the gap between 0 and 1 into two equal parts and the point P represents the fraction  .

To represent  on the number line, we divide the gap between 0 and 1 into 4 equal parts, then the points P, R and A respectively represent the fraction  and  .

(b) To rfepresent  and  on the number line, we divide the gap between 0 and 1 into 8 equal parts, then the points P, Q, R and S respectively represent the fraction  and  .

(c) To represent  and  on the number line, we divide the gap between 0 and 1 into 5 equal parts, then the points P, Q and R respectively represent the fraction  and  .

For representing 
Draw a line. Take a point 0 on it. Let it represent 0.
Now, 

From O, set off unit distances to the right. Let these segments be OA, AB. Then, clearly the points A and B represent 1 and 2 respectively. Take 1 full unit length to the right of O. Divide the 2nd unit AB into 5 equal parts. Take 3 parts out of these 5 parts to reach P. Then, P represents .

Question 2.
Express the following as mixed fractions:

Solution:

Question 3.
Express the following as improper fractions:

Solution: