Arrange the following fractions in order from least to greatest. 3/5, 5/8, 6/7
you could approach this question by changing each fraction to a percentage :) Then compare them and arrange them by using their percentage
( 3/5, 5/8, 6/7) = (0.6, 0.63, 0.86) Now compare
6/7,5/8,3/5?
the question tells you to arrange it from SMALLEST to largest. I think you went the wrong way around :P
oh oops i thought it was greatest to least because thats what my last question was.
oh haha. No problem ^_^ Just fix it up and you're all set!
thanks, so 3/5, 5/8, 6/7
yeppp!
Thanks!
no worrriesssss :D
you should put them all over the same denominator if u ever wanna comapre fractions
putting them in same denominator kinda takes same effort as long division
oh, so find what they have in common?
for example ( 3/5, 5/8, 6/7) = (0.6, 0.63, 0.86) = 60/100,63/100,86/100
anything over the same denominator we can compare we can compare 0.6,0.63,0.86 because they all have 1 as denominator u just dont write it out
is there more than one way to approach this?
usually there will many ways to approach problems like these
so is turning them into decimals then comparing ok?
If you're not a fan of long division, you may try multiplying all the fractions by 5*8*7 and compare the integers
\[\dfrac{3}{5}~~\color{red}{?}~~ \dfrac{5}{8}~~\color{red}{?}~~\dfrac{6}{7}\] \[\color{blue}{(5*8*7)}\dfrac{3}{5}~~\color{red}{?}~~ \color{blue}{(5*8*7)}\dfrac{5}{8}~~\color{red}{?}~~\color{blue}{(5*8*7)}\dfrac{6}{7}\] \[\color{blue}{(8*7)}*3~~\color{red}{?}~~ \color{blue}{(5*7)}*5~~\color{red}{?}~~\color{blue}{(5*8)}*6\] \[168~~\color{red}{<}~~ 175~~\color{red}{<}~~240\]
i see that, that is a good way.
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