What Number is halfway between 1/2 and 3/4 on a number line?

2 Answers
May 15, 2015

If a and b are any numbers, then halfway between them is the average (a+b)/2 = (1/2)*(a+b).

So halfway between 1/2 and 3/4 is

(1/2)*((1/2)+(3/4))

= (1/2)*((2/4)+(3/4))

=(1/2)*((2+3)/4)

=(1/2)*(5/4)

=(1*5)/(2*4)

=5/8

Jun 16, 2017

5/8

Explanation:

Here is another method of finding a fraction halfway between 2 others.

Convert both fractions to a common denominator.

1/2 and 3/4 can be shown as: 2/4 and 3/4

2 1/2 is obviously halfway between 2 and 3, but the fraction
(2 1/2)/4 is not comfortable..

Use another denominator: Let's try eighths.

1/2 and 3/4 are the same as

color(blue)(4)/8 and color(blue)(6)/8

5 is halfway between color(blue)(4 and 6)" rarr ((color(blue)(4+6))/2 = 5)

So the fraction we want is 5/8