Question

Eloise made a list of some multiples of 8/5 write 5 fractions that can be in Eloise list

Answer 1

Multiples of 8/5 are found by multiplying the fraction by an integer. Examples include 8/5, 16/5, 24/5, 32/5, and 40/5, where each numerator is a multiple of 8 and the denominator is 5.

Step-by-step explanation:

Eloise is working with multiples of 8/5, which means she is looking for fractions or whole numbers that result from multiplying 8/5 by an integer. Here are five examples of such multiples:

1. 8/5 × 1 = 8/5
2. 8/5 × 2 = 16/5
3. 8/5 × 3 = 24/5
4. 8/5 × 4 = 32/5
5. 8/5 × 5 = 40/5

Each of these results in another fraction where the numerator is a multiple of 8 and the denominator remains 5. These can also be simplified if desired, to form whole numbers or simpler fractions.

Answer 2

This question is asking for a list of fractions, that when you pull out common factors, they will all simplify back to the 8/5 fraction.

So if 2 is the common factor, you multiply the numerator and denominator by 2.

2: (8*2)/(5*2)= 16/10

3: (8*3)/5*3)= 24/15

4: (8*4)/(5*4)= 32/20

5: (8*5)/(5*5)= 40/25

10: (8*10)/5*10)= 80/50

Eloise's Potential List:
16/10, 24/15, 32/20, 40/25, 80/50

If you simplify any of these fractions above, you will get 8/5 again.

To work backwards:
80/50: 10 goes into 80, 10 goes into 50= 8/5

16/10: 2 goes into 16, 2 goes into 10= 8/5

Hope this helps! :)