How do you order the fractions from least to greatest: #31/51, 12/17, 2/3#?

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Answer 1 · 2016-11-29T22:04:08

#31/51#,#34/51#,#36/51#

#31/51#, #12/17#,#2/3#

First find a common denominator in the least amount for all three numbers. [They're the ones on the bottom]

17 and 3 can go into 51, so 51 would be the least all three could go into.

#31/51# Since the denom is already at 51, you can leave that alone.

#12/17# If you multiply 17, (the nominator, top number) by 3, you get 51.

What you do to the bottom, you must do to the top.

12 times 3 is 36.

#12/17# = #36/51#

#2/3# 3 multiplied by 17 is 51.

Again, doing the bottom, must do the top as well.

2 times 17 is 34.

Making #2/3# = #34/51#

Now... we order them from L to G.

#31/51#,#34/51#,#36/51#

Solution: #31/51#,#2/3#,#12/17#