Find a fractional number between 2 1/16 and 4 1/9

Answer 1

To find a fractional number between 2 1/16 and 4 1/9, we can calculate the average of these two numbers.

First, let's convert 2 1/16 and 4 1/9 into improper fractions:

2 1/16 = (2 * 16 + 1) / 16 = 33/16
4 1/9 = (4 * 9 + 1) / 9 = 37/9

Next, let's find the average of these two fractions:

Average = (33/16 + 37/9) / 2

To add these fractions, we need to find a common denominator. The least common multiple of 16 and 9 is 144:

Average = (33/16 * 9/9 + 37/9 * 16/16) / 2
Average = (297/144 + 592/144) / 2
Average = (889/144) / 2
Average = 889/288

So, the fractional number between 2 1/16 and 4 1/9 is 889/288.