Answer:
1/10
13/100
4/5
12/25
3/10
63/100
3/5
51/200
2/9
5/11
To prove the last 2 recurring ones:
0.222222... = x
10x = 10 * 0.22222... = 2.222222....
Notice how the decimal part of 10x is the same as for x:
10x - x = 2.2222222... - 0.222222... = 2
10x - x = 9x = 2
x = 2/9
Same procedure for the other one but times by 100 instead:
x = 0.454545...
100x = 45.454545...
100x - x = 45.454545... - 0.454545... = 45
100x - x = 99x = 45
x = 45/99 = 5/11
That’s not possible but it added to -2 it would be possible
23/12 = 1 and 11/12
Hope this helps!
9514 1404 393
Answer:
B. 22 to 26
Step-by-step explanation:
Multiply each value in the ratio by 2/3 to see an equivalent that is among the choices.
33 : 39 = (2/3)(33) : (2/3)(39) = 22 : 26
