its 1 over 3 its 1 over 3
You multiply the denominator by the whole number, then add the numerator of the original fraction to get the numerator of your new fraction. The denominator stays the same as the original. Then you simplify into lowest terms.
the reciprocal of the original fraction
let the denominator=x then numerator=3x Thus the fraction=3x/x now according to given condition if the numerator is decreased by 1 and denominator increased by 2 the new fraction would be 3x-1/x+2 which will be equal to 5/2 thus 3x-1/x+2=5/2 2(3x-1)=5(x+2) 6x-2=5x+10 x=12 thus the original fraction is 3(12)/12=36/12 Check:36-1/12+2=35/14=5/2:)
Divide the numerator of the original fraction y its denominator.
Multiply the denominator by the whole number, then multiply that by the numerator. Put that answer over the original denominator.
The original fraction is -145/(-282) or it could be 850/35700 or one of infinitely many possibilities.
You multiply the denominator by the whole number, then add the numerator of the original fraction to get the numerator of your new fraction. The denominator stays the same as the original. Then you simplify into lowest terms.
the reciprocal of the original fraction
The improper fraction usually has a numerator that is greater than the denominator. Divide the numerator by the denominator. In most cases you will get a quotient and a remainder. Now write the quotient and suffix it with the fraction represented by the remainder obtained above as the numerator and the original denominator as the new denominator as well.
If the numerator and denominator have any common factors (other than 1), then both the numerator and denominator can be divided by the common factor, and the new fraction will be equivalent to the original fraction in reduced form.
let the denominator=x then numerator=3x Thus the fraction=3x/x now according to given condition if the numerator is decreased by 1 and denominator increased by 2 the new fraction would be 3x-1/x+2 which will be equal to 5/2 thus 3x-1/x+2=5/2 2(3x-1)=5(x+2) 6x-2=5x+10 x=12 thus the original fraction is 3(12)/12=36/12 Check:36-1/12+2=35/14=5/2:)
The fraction that you get when you multiply the numerator and denominator of the original fraction both by the same number.
It is the reciprocal of the original number.
Divide the numerator of the original fraction y its denominator.
It is called the reciprocal unless the original numerator was zero. In that case the result of exchanging is not valid.
To convert an improper fraction to a mixed number, divide the denominator into the numerator. The answer is the whole number. Put any remainder over the original denominator to create the fraction part.
Generally, the process involves multiplying the numerator and denominator of the fraction by the same number. This number is selected so that the original denominator becomes rational. In the process the numerator may become rational. If the original denominator is of the form √b then you multiply the numerator and denominator by √b/√b. If the original denominator is of the form a+√b then you multiply the numerator and denominator by (a-√b)/(a-√b). NOTE change of sign. There is a similar process, using complex conjugates, if the denominator is a complex number.