Work out the fraction that is halfway between 1/2 and 1 1/4

The fraction that is halfway between 1/2 and 1 1/4 is:  5/8

Step-by-step explanation:

Given the fractions

1/2 and 1 1/4

In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.

1)

Add the numbers

as  1 1/4 = 3/4, so

Apply fraction rule:  

2)

Divide by 2

Convert element to fraction:  

Apply fraction rule:  

Multiply fractions:  

Conclusion:

Therefore, the fraction that is halfway between 1/2 and 1 1/4 is:  5/8