Algebra Demystified 2nd Ed

28 alGebra De mystif ieD

In an improper fraction, the numerator is the dividend and the divisor is the

denominator. In a mixed number, the quotient is the whole number, the remainder

is the new numerator, and the denominator is the divisor.

dividend

divisor

→becomes divisord) ividend

quotient

remainder

For example,^227 =^317 :

22

7

(^72) ) 2
3
21
1
−^ so,^22
7
= 317.
To convert an improper fraction to a mixed number, divide the numerator
into the denominator. The remainder will be the new numerator and the quotient
will be the whole number.
EXAMPLES
Write the improper fraction to a mixed number.
14
5
(^51) ) 4
2

-^10
4new numerator

14

5

= (^245)
21
5
(^52) ) 1
4
−^20
1new numerator
21
5
= 415
EXAMPLES
Write the improper fraction to a mixed number.