Answer:
<u>1. 4/13 = 20/65
</u>
<u>2. 4/20 = 13/65 </u>
<u>3. 5/10 = 23/46</u>
<u>4. 5/10 = 32/64
</u>
<u>5. 5/23 = 10/46
</u>
<u>6. 5/32 = 10/64</u>
Step-by-step explanation:
We can make the following six equivalent ratios using the digits from 0 to 6 only once:
1. 4/13 = 20/65 (We multiply 4 and 13 by 5 to get the second equivalent ratio)
2. 4/20 = 13/65 (We divide the first ratio by 4 and the second by 13 and we get 1/5 on both ratios)
3. 5/10 = 23/46 (We divide the first ratio by 5 and the second by 23 and we get 1/2 on both ratios)
4. 5/10 = 32/64
(We divide the first ratio by 5 and the second by 32 and we get 1/2 on both ratios)
5. 5/23 = 10/46
(We multiply 5 and 23 by 2 to get the second equivalent ratio)
6. 5/32 = 10/64 (We multiply 5 and 32 by 2 to get the second equivalent ratio)