Multiplying Fractions 5

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to make a true equation.

Hint

How can there be more than one way to make a product of 2/3?

Answer

There are many possible answers including 4/3 x 1/2.

Source: Robert Kaplinsky

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Directions: Using the digits 1 to 9 at most one time each, place a digit …

16 comments

  1. 2/6 x 8/4= 16/24 or 2/3

  2. Rudolf Österreicher

    All 7 unique solutions:
    1/2 * 4/3
    1/2 * 8/6
    1/3 * 8/4
    2/4 * 8/6
    2/9 * 3/1
    3/4 * 8/9
    3/9 * 4/2
    There are another 3*7=21 solutions if you count a/b * c/d as different from c/d * a/b (swapped fractions), a/d * c/b (swapped denominators) and c/b * a/d (swapped numerators)

  3. You can do 2/3 times 1 or 1/3 times 2

  4. 2/1 x 3/9 =6/9 and that also =2/3

  5. You can do this
    1/2 * 4/3
    1/2 * 8/6
    1/3 * 8/4
    2/4 * 8/6
    2/9 * 3/1
    3/4 * 8/9
    3/9 * 4/2

  6. There are another 3*7=21 solutions if you count a/b * c/d as different from c/d * a/b (swapped fractions), a/d * c/b (swapped denominators) and c/b * a/d (swapped numerators)

  7. you can also do
    1/2 * 4/3
    1/2 * 8/6
    1/3 * 8/4
    2/4 * 8/6
    2/9 * 3/1
    3/4 * 8/9
    3/9 * 4/2

  8. You can use the cubic unit to do 3*7 and get 21 that can get you to 2/3

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