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7/11 = 35/55 while 3/5 = 33/55 You can now work out which one is larger.
Let's do 33 - 57 first. Since 57 is clearly larger than 33, we must go into the negatives. 33 - 57 = -24. Now add -24 to 47. It's just like subtracting 47 - 24. The answer is 23.
For now, I'll assume for simplicity that the numbers are positive. The number with the greatest amount of integer digits (before the decimal point, if any) is larger. If both numbers have the same number of integer digits, compare each digit in turn until you find one digit that is different. The number with the largest digit in this place is larger. Examples: 1234 is greater than 430, because it has more digits. 125 is greater than 117, because in the first digit they differ (second position from left), it has the greater digit. 0.007 is greater than 0.0009, because in the third digit to the right of the decimal point (the first digit where they differ), it has the greater digit (7 is greater than 0).
Job is the only person I can think of right now.
For decimals, zeros can be added to the right of the rightmost digit, without changing the value, so 223.21 is the same as 223.210 or 223.2100; so it's easier to compare with the same number of digits, like: 223.210 and 223.199 ; now it's fairly easy to determine that .210 is larger than .199, so 223.21 is larger.