How do you order the fractions from least to greatest: #11/12, 7/8, 15/16#?
2 Answers
Explanation:
To determine which between two fractional numbers
- Multiply the numerator of
#A# with the denominator of#B# . The resulting product would be#A# 's weighted value relative to#B# .
- Similarly, multiply the numerator of
#B# with the denominator of#A# . The resulting product would be#B# 's weighted value relative to#A#
- Compare the weighted value of
#A# and#B# . Whichever has the higher weighted value, is larger.
Note the use of the word relative. This is because the computed weighted value is only valid between the two numbers. If a third number is involved, the above steps need to be performed for each possible pairing
Do the same for
Since A > B, and C > A, it should follow that C > B.
Hence, we will no longer check which is bigger between B and C.
Explanation:
You cannot compare fractions which have different denominators.
Convert all the fractions to a common denominator.
In this case the
It is now possible to compare and arrange them in order:
Using the original fractions:
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Another method works in this case if you realise that each fraction is only 1 part short of being a whole number.
Arranging in size
Therefore