Question

Arun has three fraction cards.He puts them in order, starting with the smallest.

-8/9 -29/36 -13/18


Arun says . I think that on a number line -29/36 is exactly halfway between -8/9 and -13/18

Q.a Is arun correct ? explain your answer


Q.b On a number line , work out which fraction is exactly halfway between -1 3/4

and -11/6

Answer 1

Answer: Q.a Arun thinks that -29/36 is exactly halfway between -8/9 and -13/18. We can check if this is true by finding the midpoint between -8/9 and -13/18 and seeing if it equals -29/36.

To find the midpoint between two numbers, we take the average of the two numbers. So the midpoint between -8/9 and -13/18 is:

((-8/9) + (-13/18))/2 = (-16/18 + (-13/18))/2 = -29/36

Since -29/36 is the same as the midpoint, Arun is correct.

Q.b To find the fraction exactly halfway between -1 3/4 and -11/6, we can start by converting the mixed number to an improper fraction:

-1 3/4 = -7/4

-11/6

To find the midpoint between -7/4 and -11/6, we take the average:

((-7/4) + (-11/6))/2 = (-21/12 + (-22/12))/2 = -43/24

Therefore, -43/24 is the fraction exactly halfway between -1 3/4 and -11/6 on the number line.

Explanation: