Improper fraction of 14/6
Introduction :
A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development was the common or "vulgar" fractions which are still used today (½, ⅝, ¾, etc.) and which consist of a numerator and a denominator. (Source: Wikipedia)
We are going to learn types of fractions, Improper Fraction Definition and problem on improper fraction of 14/6 and some other practice problems on improper fraction.
Types of fraction:
There are three types of fractions in math.
The fraction that contains the numerator value less than the denominator value is known as proper fraction.
Example: `3/5` , `90 / 250`
Improper fraction:
The fraction that contains the numerator value greater than the denominator value is known as improper fraction.
Example: `14/6` , `34 / 12`
Mixed fraction:
The fraction is in the following form is called as mixed fraction
a `b/c` , a - quotient, b - remainder, c - divisor
Example: 2 `3/4`
Problems on improper fraction of 14/6:
Problem 1:
Find the improper fraction of `14/6`
Solution:
Given, improper fraction `14/6`
We need to find the equal improper fraction of `14/6`
Factor of 14 = 1, 2, 7, 14
Factor of 6 = 1, 2, 3, 6
common factor = 2
Divide `14/6` by 2 on both numerator and denominator.
`14/6` = `(14/2) / (6/2)`
= `7 / 3`
Multiply 14/6 by 2 on both numerator and denominator,
`14/6` = `(14 * 2) / (6 * 2)`
= `28 / 12`
Answer: Improper fraction of `14 / 6` is `7/3 ` and `28 / 12`
Problem 2:
Find the improper fraction of `150 / 45`
Solution:
Given, improper fraction `150 / 45`
We need to find the equal improper fraction of 150 / 45
Factor of 150 = 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Factor of 45 = 1, 3, 5, 9, 15, 45
common factor = 1, 3, 5, 15
Divide `150/45` by 3 on both numerator and denominator.
`150/45` = `(150/3) / (45/3)`
= `50 / 15`
Divide `150/45` by 5 on both numerator and denominator.
`150/45` = `(150/5) / (45/5)`
= `30 / 9`
Divide `150/45 ` by 15 on both numerator and denominator.
`150/45` = `(150/15) / (45/15)`
= `10/3`
Answer: Improper fraction of `150/45` is `50/15` , `30 / 9` , `10/3` .
A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development was the common or "vulgar" fractions which are still used today (½, ⅝, ¾, etc.) and which consist of a numerator and a denominator. (Source: Wikipedia)
We are going to learn types of fractions, Improper Fraction Definition and problem on improper fraction of 14/6 and some other practice problems on improper fraction.
Types of fraction:
There are three types of fractions in math.
- Proper fraction
- Improper fraction
- Mixed fraction
The fraction that contains the numerator value less than the denominator value is known as proper fraction.
Example: `3/5` , `90 / 250`
Improper fraction:
The fraction that contains the numerator value greater than the denominator value is known as improper fraction.
Example: `14/6` , `34 / 12`
Mixed fraction:
The fraction is in the following form is called as mixed fraction
a `b/c` , a - quotient, b - remainder, c - divisor
Example: 2 `3/4`
Problems on improper fraction of 14/6:
Problem 1:
Find the improper fraction of `14/6`
Solution:
Given, improper fraction `14/6`
We need to find the equal improper fraction of `14/6`
Factor of 14 = 1, 2, 7, 14
Factor of 6 = 1, 2, 3, 6
common factor = 2
Divide `14/6` by 2 on both numerator and denominator.
`14/6` = `(14/2) / (6/2)`
= `7 / 3`
Multiply 14/6 by 2 on both numerator and denominator,
`14/6` = `(14 * 2) / (6 * 2)`
= `28 / 12`
Answer: Improper fraction of `14 / 6` is `7/3 ` and `28 / 12`
Problem 2:
Find the improper fraction of `150 / 45`
Solution:
Given, improper fraction `150 / 45`
We need to find the equal improper fraction of 150 / 45
Factor of 150 = 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Factor of 45 = 1, 3, 5, 9, 15, 45
common factor = 1, 3, 5, 15
Divide `150/45` by 3 on both numerator and denominator.
`150/45` = `(150/3) / (45/3)`
= `50 / 15`
Divide `150/45` by 5 on both numerator and denominator.
`150/45` = `(150/5) / (45/5)`
= `30 / 9`
Divide `150/45 ` by 15 on both numerator and denominator.
`150/45` = `(150/15) / (45/15)`
= `10/3`
Answer: Improper fraction of `150/45` is `50/15` , `30 / 9` , `10/3` .