"How do you convert fractions to decimals?"

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There are several ways to convert fractions to decimal numbers. So you can expand the fractions to powers of ten and use them to calculate the decimal numbers. In mathematics, however, more complicated fractions can also be converted without a calculator.

There are several ways to convert fractions into Decimal numbers around. The decisive factor here is which number is in the denominator.

How to convert fractions with powers of ten

Fractions with powers of ten are Counting, which has a 1 with zeros in the denominator, i.e. below. For example 25/100.

  • If you have such fractions, all you need to do is count the zeros and use that number after the decimal point. For example 25/100 - the 100 has two zeros, so we need two digits after the decimal point: 0.25. If the number 1000 is in the denominator, there should also be three digits after the decimal point, i.e. 0.025.
  • If your fractions don't have powers of ten, they sometimes expand to include them. For example, you can take 4/5 times 2; then the fraction would widen to 8/10. You can then easily convert that to the number 0.8. For example, if there is a 25 in the denominator, take the whole fraction times 4, then you have a 100 in the denominator and you can easily calculate the decimal number.

So all fractional numbers become decimal numbers

Of course, you can also convert all other fractions to decimal numbers. All you need to do is divide the numerator by the denominator. The easiest way to do this is with one calculator. If you are in mathematics are not allowed to use a calculator, you can also calculate the number on paper:

Carry out a decimal calculation with instructions - this is how it works

Decimal calculation is a form of mathematics in which a number is followed by a comma ...

  1. Write down the fraction as a problem. For example, at 3/8 you write 3: 8 =.
  2. Since the 8 doesn't even fit into the 3, write a 0 after the equals sign and then put a comma.
  3. Under the 3, write a 3 and put a 0 at the end. Now you can divide the 30 by the 8.
  4. The 8 fits 3 times in this number, so write a three after the decimal point.
  5. 3 * 8 equals 24; up to the number 30, 6 would be missing. Put these 6 under 30 and add a 0 to the back.
  6. Now divide the 60 by 8 and continue as described above.
  7. If there is no remainder left, you have the final result of the decimal number. That would be 0.375 in this case.
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