Question

Name a fraction between 1/4 and 1/2 that has a denominator of 19.

Answer 1

1/76
1/38

I am not sure how to solve, please help!

Answer 2

Searching for a numerators.

Condition 1.

x / 19 ≥ 1 / 4

x / 19 ≥ 0.25

x ≥ 19 • 0.25

x ≥ 4.75

Condition 2.

x / 19 ≤ 1 / 2

x / 19 ≤ 0.5

x ≤ 19 • 0.5

x ≤ 9.5

The denominator of the fraction must be a whole number.

Whole numbers betwen 4.75 and 9.5 are:

5 , 6 , 7 , 8 and 9

Fractions between 1 / 4 and 1 / 2 with denominator 19 are:

5 / 19

6 / 19

7 / 19

8 / 19

9 / 19

Remark.

≥ means greater or equal

≤ means less or equal