HOW TO FIND THE MIDWAY BETWEEN TWO FRACTIONS

Midway between two numbers = average of two numbers

Midway of two fractions = Average of two fractions

Example 1 :

Find the number midway between -1/2 and 2/3

Solution :

Let a = -1/2 and b = 2/3

Midway = [-1/2 + 2/3]/2

Least common multiple of 2 and 3 is 6.

= [(-3 + 4)/6]/2

= (1/6)/2

= 1/12

Example 2 :

Find the number midway between 8/6 and 10/4

Solution :

Let a = 8/6 and b = 10/4

Midway = [8/6 + 10/4]/2

Least common multiple of 6 and 4 is 12.

= [(16 + 30)/12]/2

= (46/12)//2

= 46/24

= 23/12

Example 3 :

Find the number midway between 2/5 and 5/10

Solution :

Let a = 2/5 and b = 5/10

Midway = [2/5 + 5/10]/2

= (4+ 5)/10)//2

= 9/20

Example 4 :

Find the number midway between 3/5 and 4/7

Solution :

Let a = 3/5 and b = 4/7

Mid way number = [(3/5) + (4/7)]/2

Least common multiple of 3 and 5 is 35.

= [3(7) + 4(5)]/(35 x 2)

= (21+20) / 70

= 41/70