Question

The fraction that is found halfway between 2/9 and 1/10 is:

Answer 1

Answer:

We need to insert a fraction between 1/2 and 1/3,

first step is to make denominator same by taking LCM of denominators (2 and 3)=6,

Now the fractions will become:

3/6 and 2/6

If we multiply numerator and denominator of both fractions by 2 we will get 6/12 and 4/12, here we can insert one fraction i.e. 5/12.

If we multiply numerator and denominator of both fractions by 3 we will get 9/18 and 6/18. Here we can insert 2 fractions i.e. 7/18 and 8/18.

1/2 and 1/3 can be written as 12/24 and 8/24. You can insert three fractions 11/24, 10/24 or 5/12, 9/24 or 3/8 between them.