Usually fractions are compared by making the denominators the same and comparing the numerators. Are there any circumstances where it would be easier to make the numerators the same and compare the denominators, or is the first way always better?
Using denominators is confusing, since there’s an inverse proportional relationship. (i.e. the bigger the denominator, the smaller the fraction).
The numerator has a direct proportional relationship (i.e. the bigger the numerator, the bigger the fraction).
Therefore, it is quicker, easier, and less likely to cause mistakes when you use the numerator to compare fractions.
Hope that helps!
Using denominators is confusing, since there’s an inverse proportional relationship. (i.e. the bigger the denominator, the smaller the fraction).
The numerator has a direct proportional relationship (i.e. the bigger the numerator, the bigger the fraction).
Therefore, it is quicker, easier, and less likely to cause mistakes when you use the numerator to compare fractions.
Hope that helps!
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When the numerator is the same.
The smaller the denominator, the bigger the fraction, and vice versa.
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well i guess it’s easier to compare fractoins with the same numerator. whichever denominator is smaller is the bigger fraction, blah, blah, blah…
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