**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 .

**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 .**

(b)

(b)

**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 .**

(c)

(c)

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:**