Introduction For fraction subtraction rules:
A fraction is a part of a whole group or its region. A fraction written in a form of number with bottom part (denominator) denotes how many parts the whole divided into, and a top part (numerator). Fraction is in few types which can be written as many types which depend upon numerator and denominator by its value.
Fractions are subdivided into
Proper fractions
Improper fractions
Mixed fractions
Classification of Fractions:
Proper Fractions:
A proper fraction, fraction which a denominator shows in number of parts into whole divided and a numerator shows the number of parts which we taken out. proper fraction also defined as numerator less than denominator.
Example:
`1/3, 2/5`
Improper Fractions:
Improper fractions is a fraction, whose numerator which is greater than the denominator are called improper fractions.
Example:
`3/2, 9/2`
Mixed Fractions:
A mixed fraction is a fraction defined as which has combination of a whole and its part.
Example:
2` 1/4,` 2` 2/9` ,
Rules for Fraction Subtraction:
In subtraction, rules for fraction numbers with same denominator, denominator remains same number and we subtract only numerator.
We can't do subtraction in fraction with different denominator rules for that we have to take LCM for all denominator and change different denominator into like denominator by taking LCM and adding fractions
Example Problems in Fraction subtraction rules:
Example 1:
subtract fractions `1/3` from `5/3`
Solution :
given fraction is a proper fraction, we have same denominator
`5/3 -1/3` =` (5-1)/3`
=`4/3`
Example 2:
subtract fractions `2/5` from `4/5`
Solution :
given fraction is a proper fraction, we have same denominator
`4/5 -2/5` =` (4-2)/5`
=`2/5`
Example 3:
subtract fractions `1/5` from `1/3`
Solution:
In this improper fraction we have different denominator so,we take LCM
The LCM of 3 and 5 is 15.
Therefore, `1/3-1/5` =`(1xx5)/(3xx5)-(1xx3)/(5xx3)`
=`5/15-3/15`
=`2/15`
Example 4:
Subtract fractions `1 2/5` from `3 3/6`
Solution:
`3 3/6 - 1 2/5` = `(18+3)/6-(5+2)/5`
Now `21/6-7/5` =`(21xx5)/(6xx5)-(7xx6)/(5xx6) ` since LCM of 5,6 =30
=`105/30-42/30`
=`63/30`
A fraction is a part of a whole group or its region. A fraction written in a form of number with bottom part (denominator) denotes how many parts the whole divided into, and a top part (numerator). Fraction is in few types which can be written as many types which depend upon numerator and denominator by its value.
Fractions are subdivided into
Proper fractions
Improper fractions
Mixed fractions
Classification of Fractions:
Proper Fractions:
A proper fraction, fraction which a denominator shows in number of parts into whole divided and a numerator shows the number of parts which we taken out. proper fraction also defined as numerator less than denominator.
Example:
`1/3, 2/5`
Improper Fractions:
Improper fractions is a fraction, whose numerator which is greater than the denominator are called improper fractions.
Example:
`3/2, 9/2`
Mixed Fractions:
A mixed fraction is a fraction defined as which has combination of a whole and its part.
Example:
2` 1/4,` 2` 2/9` ,
Rules for Fraction Subtraction:
In subtraction, rules for fraction numbers with same denominator, denominator remains same number and we subtract only numerator.
We can't do subtraction in fraction with different denominator rules for that we have to take LCM for all denominator and change different denominator into like denominator by taking LCM and adding fractions
Example Problems in Fraction subtraction rules:
Example 1:
subtract fractions `1/3` from `5/3`
Solution :
given fraction is a proper fraction, we have same denominator
`5/3 -1/3` =` (5-1)/3`
=`4/3`
Example 2:
subtract fractions `2/5` from `4/5`
Solution :
given fraction is a proper fraction, we have same denominator
`4/5 -2/5` =` (4-2)/5`
=`2/5`
Example 3:
subtract fractions `1/5` from `1/3`
Solution:
In this improper fraction we have different denominator so,we take LCM
The LCM of 3 and 5 is 15.
Therefore, `1/3-1/5` =`(1xx5)/(3xx5)-(1xx3)/(5xx3)`
=`5/15-3/15`
=`2/15`
Example 4:
Subtract fractions `1 2/5` from `3 3/6`
Solution:
`3 3/6 - 1 2/5` = `(18+3)/6-(5+2)/5`
Now `21/6-7/5` =`(21xx5)/(6xx5)-(7xx6)/(5xx6) ` since LCM of 5,6 =30
=`105/30-42/30`
=`63/30`
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