Fraction Sequences
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Fraction Sequences
My daughter is stuck on her homework and I can't help!
Find the next two terms of these fraction sequences:
3, 2/3 , 2, 4/3 , 8/3 , _, _,
3/4 ,4/5 , 3/5 , 12/25, _ ,_ ,
Any help would be appreciated.
Find the next two terms of these fraction sequences:
3, 2/3 , 2, 4/3 , 8/3 , _, _,
3/4 ,4/5 , 3/5 , 12/25, _ ,_ ,
Any help would be appreciated.
second one - a possible solution is
3/4 x 4/5 (first and second in the series)=3/5 i.e the next in the series
4/5 x 3/5 (second and third in series) =12/25 (4th is series)
therefore
Next in series is
3/5 x 12/25 (third and 4th in series)= 36/125
Is this one of the answers given? It doesn't seem very conclusive to me, since the pattern does not explain how to get from 3/4 to 4/5 (1st to 2nd in series)
But maybe this is what they intend.
3/4 x 4/5 (first and second in the series)=3/5 i.e the next in the series
4/5 x 3/5 (second and third in series) =12/25 (4th is series)
therefore
Next in series is
3/5 x 12/25 (third and 4th in series)= 36/125
Is this one of the answers given? It doesn't seem very conclusive to me, since the pattern does not explain how to get from 3/4 to 4/5 (1st to 2nd in series)
But maybe this is what they intend.
Re: Fraction Sequences
Find the next two terms of these fraction sequences:
3, 2/3 , 2, 4/3 , 8/3 , _, _,
Multiplyng the two preceding numbers gives the next:
3 x 2/3= 6/3=2
2/3 x 2 = 4/3
2 x 4/3=8/3
4/3 x 8/3 =32/9
8/3 x 32/9=256/27
3/4 ,4/5 , 3/5 , 12/25, _ ,_ ,
this is given by mulitplying the numerator of the two preciding numbers and also the denominators of the preceding two:
hence 3/4 x 4/5 = 12/20=3/5
4/5 x 3/5 =12/25
3/5x12/25=36/125
12/25x36/125=432/3125
These are horrible numbers that lack elegance! Where did you find them?
3, 2/3 , 2, 4/3 , 8/3 , _, _,
Multiplyng the two preceding numbers gives the next:
3 x 2/3= 6/3=2
2/3 x 2 = 4/3
2 x 4/3=8/3
4/3 x 8/3 =32/9
8/3 x 32/9=256/27
3/4 ,4/5 , 3/5 , 12/25, _ ,_ ,
this is given by mulitplying the numerator of the two preciding numbers and also the denominators of the preceding two:
hence 3/4 x 4/5 = 12/20=3/5
4/5 x 3/5 =12/25
3/5x12/25=36/125
12/25x36/125=432/3125
These are horrible numbers that lack elegance! Where did you find them?
sj355