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What makes percent easier than fractions?
Percentages are easier for some purposes, harder for other.
Why are decimals easier to compare than fractions?
Because decimals are a form you use regularly like with money, but with fractions, its not used all the time such as a decimal is used.
Why should there be percentages when a number can be expressed as a fraction or a decimal?
Decimals and percentages are easier to compare than fractions - particularly if they are unlike fractions. That does not explain why percentages are required when we have decimal number and there is no good answer to that!
Why does finding a common denominator make it easier to compare fractions?
You might think that 1/4 is greater than 1/3 because 4 is greater than 3. If you know that 1/3 = 4/12 and 1/4 = 3/12, it makes them easier to compare.
Why is it easier to compare fractions with the same rather than denominator?
If the fractions have different denominators, you need to: 1) Convert to equivalent fractions with a common denominator, 2) Compare the numerators. If the fractions already have the same denominator, there is no need for the first step - which happens to be the most difficult step. Note that as a shortcut, you don't need the LEAST common denominator, any denominator can do. Thus, you can just use the product of the two denominators as the common denominator. As a result, to compare the fractions, you simply multiply the numerator of each fraction by the denominator of the other one, and then compare. However, this is still more work than simply comparing two numbers.
