Question

What rational number is exactly halfway between 2/8 and 6/14 on the real number line?

a) 5/16
b) 8/32
c) 3/10
d) 1/4

Answer 1

The rational number that is halfway between 2/8 and 6/14 is 31/112.

Step-by-step explanation:

To find the rational number that is halfway between 2/8 and 6/14, we need to find a common denominator for the two fractions. The least common multiple of 8 and 14 is 56. We can then rewrite 2/8 as 7/56 and 6/14 as 24/56.

Now, we can find the average of 7/56 and 24/56 by adding the numerators and keeping the denominator the same:

(7/56 + 24/56) / 2 = 31/56 / 2 = 31/112

Therefore, the rational number that is exactly halfway between 2/8 and 6/14 is 31/112.