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) \frac { 1 }{ 2 } ,\frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,\frac { 4 }{ 4 }
(b) \frac { 1 }{ 8 } ,\frac { 2 }{ 8 } ,\frac { 3 }{ 8 } ,\frac { 7 }{ 8 }
(c) \frac { 2 }{ 5 } ,\frac { 3 }{ 5 } ,\frac { 8 }{ 5 } ,\frac { 4 }{ 5 }

Solution:
(a)
 We know that \frac { 1 }{ 2 }  is greater than zero and less than 1, so it should lie 2 between 0 and 1.
To show \frac { 1 }{ 2 }  on the number line, we divide the gap between 0 and 1 into two equal parts and the point P represents the fraction \frac { 1 }{ 2 }  .
NCERT Solutions for Class 6 Maths Chapter 7 Fractions 8
To represent \frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,\frac { 4 }{ 4 }  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 \frac { 1 }{ 4 } ,\frac { 3 }{ 4 }  and \frac { 4 }{ 4 }  .

(b)
 To rfepresent \frac { 1 }{ 8 } ,\frac { 2 }{ 8 } ,\frac { 3 }{ 8 }  and \frac { 7 }{ 8 }  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 \frac { 1 }{ 8 } ,\frac { 2 }{ 8 } ,\frac { 3 }{ 8 }  and \frac { 7 }{ 8 }  .

(c)
 To represent \frac { 2 }{ 5 } ,\frac { 3 }{ 5 }  and \frac { 4 }{ 5 }  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 \frac { 2 }{ 5 } ,\frac { 3 }{ 5 }  and \frac { 4 }{ 5 }  .
NCERT Solutions for Class 6 Maths Chapter 7 Fractions 11
For representing \frac { 8 }{ 5 }
Draw a line. Take a point 0 on it. Let it represent 0.
Now, \frac { 8 }{ 5 } =1\quad \frac { 3 }{ 5 } =1+\frac { 3 }{ 5 }
NCERT Solutions for Class 6 Maths Chapter 7 Fractions 12

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 \frac { 8 }{ 5 } .

Question 2.
Express the following as mixed fractions:

NCERT Solutions for Class 6 Maths Chapter 7 Fractions 13
Solution:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions 14
NCERT Solutions for Class 6 Maths Chapter 7 Fractions 15

Question 3.
Express the following as improper fractions:

NCERT Solutions for Class 6 Maths Chapter 7 Fractions 16
Solution:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions 17

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