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22 May, 23:05

Sort the ratios listed at the right into bins so that equivalent ratios are grouped together, 40:64 - 5/75 - 14:35 - 24:64 - 6/15 - 65/104 - 66/176 - 12/30 - 15:225 - 6/16 - 15:24 - 48:128

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  1. 22 May, 23:31
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    See below

    Step-by-step explanation:

    Bin : Equivalent ratios

    1/15 : 5/75, 15:225

    3/8 : 24:64, 66/176, 6/16, 48:128

    2/5 : 14:35, 6/15, 12/30

    5/8 : 40:64, 65/104, 15:24

    Each fraction is reduced by dividing both parts by their greatest common divisor. Sometimes you know what that is based on your knowledge of multiplication tables. Other times, you need to figure it out by using an appropriate algorithm, calculator, or finding the factors of the numbers.

    You can also convert them to decimal to see what their value is. 1/15 ≈.067; 3/8 =.375; 2/5 =.4; 5/8 =.625. You only need to see the first decimal digit to choose the bin.

    Here, the first 4 numbers tell you the "bins" are 5/8, 1/15, 2/5, and 3/8. After that, the ratios repeat.
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