Fractions on Number Lines

Question

Which fraction is furthest to the right on the number line?

a) 0

b) 1/2

c) 1/3

d) 1/4

Answer 1

0 , 1/2 , 1/3 , 1/4

To compare fractions first make common denominators, so that we can compare the numerators.

To make the denominators same, we have to take L.C.M (least common multiple) of the denominators.

L.C.M of 2,3,4 is:

= 2 * 3 * 2

= 12

To convert denominator into 12, multiply numerator and denominator by :

0 * something is always 0

(1*6) / (2*6) { To convert the denominator to 12 multiply with 6, do the same with numerator }

6 / 12

(1*4) / (3*4) { To convert the denominator to 12 multiply with 4, do the same with numerator }

4 / 12

(1*3) / (4*3) { To convert the denominator to 12 multiply with 3, do the same with numerator }

3 / 12

Now compare 0, 6 / 12 , 4 / 12 , 3 / 12

So, the order is 0 < 3/12 < 4/12 < 6/12

Hence, 6/12 which is 1/2 is farthest from the number line.

Hope this helps. You can message me for any doubts, i am available anytime to help out!

Answer 2

Hello, furthest to the right, would mean the fraction closest to one. 1/2 is the closest to one because it is the biggest fraction. We know it is the biggest because the bigger the denominator the smaller the fraction.