convert 2.64 to a fraction please don’t just give the answer. can please give some explanation ​

Question

convert 2.64 to a fraction

please don’t just give the answer. can please give some explanation ​

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Nguyệt Ánh 5 years 2021-07-21T18:09:05+00:00 2 Answers 38 views 0

Answers ( )

    0
    2021-07-21T18:10:06+00:00

    Answer:

    66/25

    Step-by-step explanation:

    A decimal is the same this as a fraction just in a different form, for example .1 = 1/10 and .01=1/100 so you can turn .64 into 64/100. So now we have 2 and 64/100, which is a mixed number, but you want the whole thing as just a fraction so 2 = 200/100, so add the two together and you get 264/100. Then you just simplify  

    0
    2021-07-21T18:10:32+00:00

    Answer:66/25

    Step-by-step explanation:

    To get rid of the decimal point in the numerator, we count the numbers after the decimal in 2.64, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

    Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:

    264 / 100

    Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

    The GCD of 264 and 100 is 4. When we divide the numerator and denominator by 4, we get the following:

    66 / 25

    Therefore, 2.64 as a fraction is as follows:

    66 / 25

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