To convert from percent to fraction, change the percentage into a decimal first by moving the decimal place to the left twice, which gives us 0.85.
Afterwards, convert it to fraction, and to do that, count the decimal places of the decimal. So, since the last decimal place of 0.85, which is hundredths in place value, will give us 100, by the word itself "hundred" on the name of the place value.
Second thing is we should place the 100 on the denominator, then for the numerator, just copy the 85 to the numerator of the fraction. The numerator must have value (like 8) from the decimal places when doing this.
So, arranging the numerator and the denominator, it will be , but we still need to simplify. To do simplification in fraction, divide the number by any number that is divisible and should give a whole number as a result. Additionally, you cannot divide the number by the number itself.
Also, to know when to simplify, both numerator and the denominator should be divisible by any possible number but the same. (Such as 26 ÷ 2 = 13, the same also goes to the denominator, so 100 ÷ 2 = 50.)
Hence, for number 1, it will be for a simplified form.
The same applies for the rest of the items, the answers are here below:
2.) 17% = 0.17 = (Already simplified because 17 cannot be divisible by any number below 17, you cannot divide the number by the number itself.)
3.) 0.846% = 0.00846 = = (This will be the final answer.)
Answers & Comments
Explanation and Answers:
To answer number 1:
To convert from percent to fraction, change the percentage into a decimal first by moving the decimal place to the left twice, which gives us 0.85.
Afterwards, convert it to fraction, and to do that, count the decimal places of the decimal. So, since the last decimal place of 0.85, which is hundredths in place value, will give us 100, by the word itself "hundred" on the name of the place value.
Second thing is we should place the 100 on the denominator, then for the numerator, just copy the 85 to the numerator of the fraction. The numerator must have value (like 8) from the decimal places when doing this.
So, arranging the numerator and the denominator, it will be
, but we still need to simplify. To do simplification in fraction, divide the number by any number that is divisible and should give a whole number as a result. Additionally, you cannot divide the number by the number itself.
Also, to know when to simplify, both numerator and the denominator should be divisible by any possible number but the same. (Such as 26 ÷ 2 = 13, the same also goes to the denominator, so 100 ÷ 2 = 50.)
Hence, for number 1, it will be
for a simplified form.
The same applies for the rest of the items, the answers are here below:
2.) 17% = 0.17 =
(Already simplified because 17 cannot be divisible by any number below 17, you cannot divide the number by the number itself.)
3.) 0.846% = 0.00846 =
=
(This will be the final answer.)
4.) 6% = 0.06 =
= ![\frac{3}{50} \frac{3}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B50%7D)
5.) 26% = 0.26 =
= ![\frac{13}{50} \frac{13}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B50%7D)
Hope it helps. :)
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