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Convert 2.64 to a fraction

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

User AsirXing
by
6.2k points

2 Answers

1 vote

Answer:66/25

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

User Steve Misuta
by
5.6k points
0 votes

Answer:

66/25

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

User Osman Cea
by
6.1k points