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16 November, 10:55

Create three fractions whose product is - 5/24. You may only use fractions between - 8/9 to 8/9 and you can only use a fraction once.

Find at least 2 possible combinations.

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  1. 16 November, 12:55
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    We find 3/4-5/24 = 0.54166666666 and try 2/7 x 6/8 = 0.21428571428

    this is 0.069 too much we look at this as a fraction = 0.07 which is 1/10 approx of the 6/8. we then reapply 7/9 x 2/7 x 3/3 = 0.2

    So we went up by 1 and can show another

    2/7 x 7/10 = 2.0

    So to 1dp there is lots of fractions including 2/7 x 7/9 = 2.0

    But for three fractions that multiply together we can chose 5/7 x 2/6 x 6/6 = 2.0 As 5 x 2 x 6 = 60 and 60/360-102 = 60/258 = 0.20 and divided 198 = numbers 8 and 1/3 work with = 1.98/8.3 = 2.38554

    We try again 1.68/8.3 = - 0.2024 = 2/8 x 8/10 = 0.2

    The balance is 1.3/2 x 0.8/2 = 0.65 x 0.333 = 13/20 x 1/3

    3/5 x 1/3 = 0.2
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