When the numbers are greater than 1
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You DO need a common denominator to add, subtract, or compare fractions. You DO NOT need a common denominator to multiply or divide fractions.
Yes, it is possible for two fractions greater than 1 with different numerators and denominators to be renamed as the same mixed number. This can happen when the fractions are equivalent, meaning they represent the same value. To determine if two fractions can be renamed as the same mixed number, you need to simplify them to their simplest form and then compare them to see if they are equal.
Option 1: Find a common denominator for the two fractions. It need not be the least common denominator; for example, for two fractions, if you just multiply the two denominators, you get a common denominator. Convert all the fractions to the common denominator. Then you can compare. Option 2: Convert each fraction to decimal, by dividing the numerator by the denominator. Then you can compare the decimals.
To compare 0.5 and 0.32, we can think of them as fractions: 0.5 is the same as 5/10, and 0.32 is the same as 32/100. To compare fractions, we need to find a common denominator. In this case, the common denominator is 100. When both fractions are written with a denominator of 100, we see that 0.5 is equivalent to 50/100, which is greater than 32/100. Therefore, 0.5 is greater than 0.32.
The higher to top number related to the bottom number will tell. Eg 67/80 is closer to 1 then 47/80 If you are to compare two fractions with different denominators (bottom number) then you'll need to convert them to a common demoninator. Eg 5/8 and 3/4 They would become 5/8 and 6/8 as the 6/8 is the bigger number it is closest to 1.