How do you convert a decimal number to a fraction? or, how do I convert .182 to a faction?
+226 convert .182 to a faction?
I will try to demonstrate the method for this with a simpler number, then go onto your question.
If we take the number 1 and divide it by 2 we get half of 1 which is 0.5 $${\frac{{\mathtt{1}}}{{\mathtt{2}}}} = {\mathtt{0.5}}$$
So we can see that as a fraction and a decimal, and we could have probably guessed the answer.
in this we are saying that 0.5 is a fraction of 1, so could be written like this $${\frac{{\mathtt{0.5}}}{{\mathtt{1}}}} = {\frac{{\mathtt{1}}}{{\mathtt{2}}}} = {\mathtt{0.5}}$$
Sadly $${\frac{{\mathtt{0.5}}}{{\mathtt{1}}}}$$ is what we call an improper fraction, in that the top number (Numerator) or bottom number (denominator) are not whole numbers.
To convert $${\frac{{\mathtt{0.5}}}{{\mathtt{1}}}}$$ to a proper fraction, where the numerator and denominator are both whole numbers we multiply both terms by 10 until we loose the decimal point.
$${\frac{{\mathtt{0.5}}{\mathtt{\,\times\,}}{\mathtt{10}}}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}$$ = $${\frac{{\mathtt{5}}}{{\mathtt{10}}}}$$ This is now a proper fraction but needs to be reduced or simplified down to it's simplest form by finding a number (their greatest common divisor) that could divide both the numerator and denominator to give us whole numbers for the numerator and denominator.
$${\frac{{\mathtt{5}}}{{\mathtt{10}}}}$$ divided by 5 is simplified to $${\frac{{\mathtt{1}}}{{\mathtt{2}}}}$$ which we know as half of 1.
Now to answer your question; convert .182 to a faction?
We are saying that 0.182 is a fraction of 1 so would be written
$${\frac{{\mathtt{0.182}}}{{\mathtt{1}}}}$$ As in my example, we need to convert this to a proper fraction, so we multiply both the numerator and denominator by 10 until we lose the decimal point.
$${\frac{\left({\mathtt{0.182}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}$$ = $${\frac{{\mathtt{1.82}}}{{\mathtt{10}}}}$$ We still have a decimal point to lose so we repeat the process
$${\frac{\left({\mathtt{1.82}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}{\left({\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}$$ = $${\frac{{\mathtt{18.2}}}{{\mathtt{100}}}}$$ Again, we still have a decimal point to loose so we repeat the process again
$${\frac{\left({\mathtt{18.2}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}{\left({\mathtt{100}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}$$ = $${\frac{{\mathtt{182}}}{{\mathtt{1\,000}}}}$$ Finally, we have a proper fraction with no decimal points.
This is a lengthy way to do it so we have a simpler method. In this process we can see that we had to multiply both the numerator and denominator by 10 3 times, that's 10*10*10. This coincides with the amount of numbers after the decimal point in the original 0.182
So, if we said that for every number after the decimal point, we have to multiply both the numerator and the denominator by 10 we would have
$${\frac{\left({\mathtt{0.182}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}$$ which is equivalent to $${\frac{\left({\mathtt{0.182}}{\mathtt{\,\times\,}}{\mathtt{1\,000}}\right)}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{1\,000}}\right)}}$$ which equals $${\frac{{\mathtt{182}}}{{\mathtt{1\,000}}}}$$ , much quicker. This is effectively the same as in other math problems where we whish to move the decimal point.
Now all we have to do is simplify $${\frac{{\mathtt{182}}}{{\mathtt{1\,000}}}}$$ to it's simplest form by dividing it by it's greatest common divisor which is 2, $${\frac{{\mathtt{182}}}{{\mathtt{1\,000}}}}$$ divided by 2 equals $${\frac{{\mathtt{91}}}{{\mathtt{500}}}}$$, which is your answer.
+226 convert .182 to a faction?
I will try to demonstrate the method for this with a simpler number, then go onto your question.
If we take the number 1 and divide it by 2 we get half of 1 which is 0.5 $${\frac{{\mathtt{1}}}{{\mathtt{2}}}} = {\mathtt{0.5}}$$
So we can see that as a fraction and a decimal, and we could have probably guessed the answer.
in this we are saying that 0.5 is a fraction of 1, so could be written like this $${\frac{{\mathtt{0.5}}}{{\mathtt{1}}}} = {\frac{{\mathtt{1}}}{{\mathtt{2}}}} = {\mathtt{0.5}}$$
Sadly $${\frac{{\mathtt{0.5}}}{{\mathtt{1}}}}$$ is what we call an improper fraction, in that the top number (Numerator) or bottom number (denominator) are not whole numbers.
To convert $${\frac{{\mathtt{0.5}}}{{\mathtt{1}}}}$$ to a proper fraction, where the numerator and denominator are both whole numbers we multiply both terms by 10 until we loose the decimal point.
$${\frac{{\mathtt{0.5}}{\mathtt{\,\times\,}}{\mathtt{10}}}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}$$ = $${\frac{{\mathtt{5}}}{{\mathtt{10}}}}$$ This is now a proper fraction but needs to be reduced or simplified down to it's simplest form by finding a number (their greatest common divisor) that could divide both the numerator and denominator to give us whole numbers for the numerator and denominator.
$${\frac{{\mathtt{5}}}{{\mathtt{10}}}}$$ divided by 5 is simplified to $${\frac{{\mathtt{1}}}{{\mathtt{2}}}}$$ which we know as half of 1.
Now to answer your question; convert .182 to a faction?
We are saying that 0.182 is a fraction of 1 so would be written
$${\frac{{\mathtt{0.182}}}{{\mathtt{1}}}}$$ As in my example, we need to convert this to a proper fraction, so we multiply both the numerator and denominator by 10 until we lose the decimal point.
$${\frac{\left({\mathtt{0.182}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}$$ = $${\frac{{\mathtt{1.82}}}{{\mathtt{10}}}}$$ We still have a decimal point to lose so we repeat the process
$${\frac{\left({\mathtt{1.82}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}{\left({\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}$$ = $${\frac{{\mathtt{18.2}}}{{\mathtt{100}}}}$$ Again, we still have a decimal point to loose so we repeat the process again
$${\frac{\left({\mathtt{18.2}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}{\left({\mathtt{100}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}$$ = $${\frac{{\mathtt{182}}}{{\mathtt{1\,000}}}}$$ Finally, we have a proper fraction with no decimal points.
This is a lengthy way to do it so we have a simpler method. In this process we can see that we had to multiply both the numerator and denominator by 10 3 times, that's 10*10*10. This coincides with the amount of numbers after the decimal point in the original 0.182
So, if we said that for every number after the decimal point, we have to multiply both the numerator and the denominator by 10 we would have
$${\frac{\left({\mathtt{0.182}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{10}}\right)}}$$ which is equivalent to $${\frac{\left({\mathtt{0.182}}{\mathtt{\,\times\,}}{\mathtt{1\,000}}\right)}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{1\,000}}\right)}}$$ which equals $${\frac{{\mathtt{182}}}{{\mathtt{1\,000}}}}$$ , much quicker. This is effectively the same as in other math problems where we whish to move the decimal point.
Now all we have to do is simplify $${\frac{{\mathtt{182}}}{{\mathtt{1\,000}}}}$$ to it's simplest form by dividing it by it's greatest common divisor which is 2, $${\frac{{\mathtt{182}}}{{\mathtt{1\,000}}}}$$ divided by 2 equals $${\frac{{\mathtt{91}}}{{\mathtt{500}}}}$$, which is your answer.
