Fraction and Decimal

Directions: Using the digits 0 through 9, at most one each time, create an an equivalent fraction and decimal number.

Hint

How can you rewrite the fraction in decimal form?

Answer

There are many possibilities, here are some: 1/2 = 0.5
2/4 = 0.5
3/6 = 0.5
4/8 = 0.5

Source: Giselle Garcia

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14 comments

  1. We had a variety of answers on this one, but one I did not expect was 7/ 3 4/8 = 2.0 Although I generally steer clear of complex fractions I thought this was a creative way to solve this “puzzle.”

  2. I figured out all the answers in less than a second

  3. More answers…

    1/5 = 0.2
    2/5 = 0.4
    3/5 = 0.6
    4/5 = 0.8
    3/2 = 1.5

    If you allow two-digit numbers, it gets more fun:
    48/30 = 1.6
    34/20 = 1.7
    … and I’m sure, many more.

  4. A student and I found 19 different answers, the halves from above, the fifths from above, as well as some impropers like
    7/5 =1.4
    6/5 = 1.2
    6/2 = 3.0
    7/2 = 3.5
    8/2 = 4.0
    9/2 = 4.5
    8/4 = 2.0
    This was a fun one!

  5. Isabella Mendoza

    Isabella Mendoza

    4/8 =0.5

  6. right away i knew one.
    1/4 0.25

  7. Rudolf Österreicher

    There are 21 solutions (8 proper fractions, 13 improper fractions), with 1/5 = 0.2 being the smallest and 9/2 = 4.5 being the highest:
    1/2 = 0.5
    1/5 = 0.2
    2/4 = 0.5
    2/5 = 0.4
    3/2 = 1.5
    3/5 = 0.6
    3/6 = 0.5
    4/5 = 0.8
    4/8 = 0.5
    6/2 = 3.0
    6/3 = 2.0
    6/4 = 1.5
    6/5 = 1.2
    7/2 = 3.5
    7/5 = 1.4
    8/2 = 4.0
    8/4 = 2.0
    8/5 = 1.6
    9/2 = 4.5
    9/5 = 1.8
    9/6 = 1.5

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