Find two fractions that are between \(\frac{3}{5}\) and \(\frac{4}{5}\).

We can use common denominators to convert these fractions and find ones between them. Any multiple of 5 can be used, so the first one I chose was 10. You multiply 5 by 2 to make 10, so multiplying the numerator by 2, we get 6/10.
Doing the same thing to the other fraction, we multiply 4 by 2 and get 8/10. A fraction between 6/10 and 8/10 would be 7/10.
Now I will use 20. You multiply 5 by 4 to get 20, so 4*3 in the numerator would give you 12/20.
For the second fraction, 4*4 on the numerator would give us 16/20. One fraction between these two would be 13/20.

Answered by MsEHolt | 2024-06-11

To find two fractions that lie between 3/5 and 4/5, we can either find fractions with the same denominator or use equivalent fractions with a common larger denominator. A straightforward way is to increase the numerator of 3/5 step by step until we reach fractions just below 4/5. Let's convert both fractions to have a common denominator of 100:
3/5 = 60/100
4/5 = 80/100
Now we need to find fractions with a numerator between 60 and 80. Two such fractions could be:
65/100, which simplifies to 13/20
75/100, which simplifies to 3/4
Both 13/20 and 3/4 are between 3/5 and 4/5 and serve as suitable examples.

Answered by JaymaMays | 2024-06-19

Two fractions between 5 3 ​ and 5 4 ​ are 10 7 ​ and 20 13 ​ . These fractions were found by converting to a common denominator and selecting values in between. This method assures that the fractions remain accurate and fall within the specified range.
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Answered by MsEHolt | 2024-08-25