A fraction is greater than 1/8 and less 1/4 the sum of its digits is 19 what is the fraction

3/16

3/16

To find the fraction that satisfies these conditions, we need to consider the range between 1/8 and 1/4.

Step 1: Determine the range of fractions between 1/8 and 1/4.
To do this, we find the least common denominator (LCD) of 8 and 4, which is 8. Then, we convert both fractions to have a denominator of 8:
1/8 = 1/8
1/4 = 2/8

So, any fraction greater than 1/8 and less 2/8 is within the desired range.

Step 2: Find fractions with a sum of digits equal to 19.
The sum of digits is independent of the denominator. Therefore, we only need to find numerators that sum to 19.

To find these numerators, we can use trial and error or a systematic approach. We can start with the largest possible numerator, 18, and then reduce it until we find a suitable fraction within the range.

Starting with 18, we have:
18/8 = 9/4 (not within the range)
17/8 = 8.5/4 (not within the range)
16/8 = 8/4 (within the range)

Therefore, the fraction that satisfies the given conditions is 8/8, which is equivalent to 1 whole.

To summarize, the fraction that is greater than 1/8, less than 1/4, and has a sum of digits equal to 19 is 1 whole or 1/1.

3/4