Ratios 2

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to make an equivalent ratio with a unit rate that has greatest possible value.

Hint

How can you tell when two ratios are equivalent?

Answer

The greatest possible unit rate is 9 and can be made using a ratio like 9:1 = 27:3

Source: Robert Kaplinsky

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Greatest Common Factor

Directions: Using the digits 0 to 9 at most one time each, place a digit …

2 comments

  1. Rudolf Österreicher

    26 equations fulfill the criteria:

    3/1 = 24/8
    3/1 = 27/9
    4/1 = 20/5
    4/1 = 28/7
    4/1 = 32/8
    4/1 = 36/9
    5/1 = 20/4
    5/1 = 30/6
    5/1 = 40/8
    6/1 = 30/5
    6/1 = 42/7
    6/1 = 54/9
    7/1 = 28/4
    7/1 = 42/6
    7/1 = 56/8
    7/1 = 63/9
    8/1 = 24/3
    8/1 = 32/4
    8/1 = 40/5
    8/1 = 56/7
    8/1 = 72/9
    9/1 = 27/3
    9/1 = 36/4
    9/1 = 54/6
    9/1 = 63/7
    9/1 = 72/8

    Out of these, the one with the greatest possible value are the last 5: 9/1 = 27/3 = 36/4 = 54/6 = 63/7 = 72/8

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