There are three types of fractions:
PROPER FRACTION |
Examples:`2/3` , `3/4` , `1/4` , `5/8` Click for more examples |
IMPROPER FRACTION |
Examples:`128/5` , `29/15` , `35/12` Click for more examples |
MIXED FRACTION |
Examples:`4 1/3` , `5 82/210` , `6 9/20` Click for more examples |
A fraction in which numerator is less than denominator is called proper fraction, means a fraction that is less than 1.
Since 12 > 7 , Hence `12/7` is not a proper fraction.
Since 3 < 8 , Hence `3/8` is a proper fraction.
Since 1 < 4 , Hence `1/4` is a proper fraction.
Since 14 < 15 , Hence `14/15` is a proper fraction.
Since 4 < 5 , Hence `4/5` is a proper fraction.
A fraction in which numerator is greator than or equal to denominator is called proper fraction, means a fraction that is greator than or equal to 1.
Since 4 > 3 , Hence `4/3` is a improper fraction.
Since 11 > 4 , Hence `11/4` is a improper fraction.
Since numerator and denominator of the fraction are equal , Hence `7/7` is a improper fraction.
A mixed number is a fraction that includes both whole number and a proper fraction.
Divide the numerator by the denominator.
`1` | |
`3` | `4` |
`3` | |
`1` |
The whole number is the quotient which is 1.
The numerator of the mixed number is the remainder which is 1.
The denominator remains to be 3.
Therefore, `4/3` in mixed number form is `1 1/3`
Divide the numerator by the denominator.
`2` | |
`4` | `9` |
`8` | |
`1` |
The whole number is the quotient which is 2.
The numerator of the mixed number is the remainder which is 1.
The denominator remains to be 4.
Therefore, `9/4` in mixed number form is `2 1/4`
Divide the numerator by the denominator.
`16` | |
`5` | `82` |
`80` | |
`2` |
The whole number is the quotient which is 16.
The numerator of the mixed number is the remainder which is 2.
The denominator remains to be 5.
Therefore, `82/5` in mixed number form is `16 2/5`
For Example : Convert `5/4` to mixed Number
`1` | |
`4` | `5` |
`4` | |
`1` |
in our example quotient is 1.
in our example remainder is 1.
in our example denominator is 4.
Hence the required mixed number is `1 1/4`
For Example : Convert `2 1/4` to improper fraction
In our example whole number is 2 and denominator is 4
hence 2 x 4 = 8
Here numerator is 1
adding numerator and product we get,
numerator= 8 + 1= 9
denominator = 4
Hence the improper fraction is `9/4`
Divide the numerator by the denominator.
`2` | |
`5` | `11` |
`10` | |
`1` |
The whole number is the quotient which is 2.
The numerator of the mixed number is the remainder which is 1.
The denominator remains to be 5.
Therefore, `11/5` in mixed number form is `2 1/5`
Multiply the whole number by the denominator.
3 x 4 = 12
Add the product to the numerator of the proper fraction.
12 + 3 = 15
The numerator of the improper fraction is 15.
The denominator remains to be 4.
Therefore, improper fraction form for `3 3/4` is `15/4`
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