How to add mixed fraction
Introduction :
Ratio of two numbers is called fraction. It has two terms one is numerator that is upper term and the second one is denominator that is bottom term. Numerator and denominator is separated by horizontal lines for example,
`11/13`
Where 11 is numerator 13 is denominator
Mixed fraction:
Mixed fraction contains a whole number and a proper fraction .for an example,
3 `(2/7)` is mixed fraction
Here 3 is whole number
`(2/7)` is proper fraction. (Proper fraction means the numerator of the fraction is less than s denominator.
Here we are going to study about how to add the mixed fraction numbers and its example problems.
Example problems for how to add mixed fraction:
Ex : 1
Add the following mixed fraction numbers
3 `(2/5)` + 2 `(4/5)`
Sol :
First we have to convert mixed fraction to normal fraction take a first term
`(3*5 + 2) / (5)`
= `17 / 5`
Similarly take a second term
`(2*5 +4) / (5)`
= `14 / 5`
Now we add the both fraction check the denominator here both denominator area equal so add the numerator directly
`(17/5)` + (`14/5)`
= `(17+14) / (5)`
= `(31 / 5)`
Now we convert to mixed fraction
31 = (6*5) + 1
Therefore 6 `(1/5)`
The final answer is 6 `(1/5)`
Ex : 2
Adding mixed fractions numbers
2 `(3 / 4)` + 3 `(1 / 2)`
Sol :
First we have to convert mixed fraction to normal fraction take a first term
=` (2*4+ 3) / (4)`
= `(11 / 4)`
Similarly take the second term
=` (3*2 + 1) / (2)`
= `7 / 2`
Now we add the both fraction check the denominator here the denominators are different so we make the both denominators are equal
Multiply and divide by 2
`(7*2) / (2*2)`
`14 / 4`
Now both denominators are equal
= `(11+14) / (4)`
=` 25 / 4`
Now we convert to mixed fraction
25 can be write (6*4) + 1
Therefore the final answer is 6 `(1/4)`
Ex : 3
Add 1` (2/3)` + 2 `(2/3)`
Sol :
Convert to normal fraction we get
`5/3` + `8/3`
Here both denominators are equal so add the numerator directly
= `(5+8) / (3)`
= `13 / 3`
Now we convert to mixed fraction
13 can be written as (4*3) + 1
Therefore the final answer is 4` (1 / 3)`
Ex : 4
Add the following mixed fraction numbers
3 + 2
Sol :
First we have to convert mixed numbers to normal fraction
Take a first number
= (3*3) +2 / (3)
Simplify the above equation we get
=
Similarly take the second term
= (2*3) +1 / (3)
= `7/3`
Compare the two fraction denominators both are equal so add the numerator directly
= (11+7) / 3
=
The fraction is simplified and get 6
Therefore the final answer is 6
Ex: 5
Add the following mixed fraction numbers
1 + 2
Sol :
First we have to convert mixed fraction to normal fraction
Take the first term
= (1*4) + 3 / 4
Simplify the above equation we get
=
Similarly we take the second term
= (2*8) +2 / 8
=
Now we compare the denominator. Here both denominator are different so we will make both are equal.
Multiply and divide by 2 in
= (7*2) / (4*2)
=
Now denominators are equal add the numerator
= (14+18) / 8
=
Therefore the final answer is 4
Ex : 6Add the following mixed fractions
1 + 1
Sol :
First we have to convert mixed numbers to normal fraction
Take a first number
= (1*6) +5 / 6
=
Similarly take the second number
= (1*5) + 3 / 5
=
Here both denominators are different so we will make equal denominator
Multiply and divide by 5 in
= (11*5) / (6*5)
=
Similarly multiply and divide by 6 in
= (8*6) / (5*6)
=
Now add the numerator
= (55+48) /30
=
Now we convert to mixed fraction
103 can be written as (3*30) +13
Therefore the final answer is 3
Ratio of two numbers is called fraction. It has two terms one is numerator that is upper term and the second one is denominator that is bottom term. Numerator and denominator is separated by horizontal lines for example,
`11/13`
Where 11 is numerator 13 is denominator
Mixed fraction:
Mixed fraction contains a whole number and a proper fraction .for an example,
3 `(2/7)` is mixed fraction
Here 3 is whole number
`(2/7)` is proper fraction. (Proper fraction means the numerator of the fraction is less than s denominator.
Here we are going to study about how to add the mixed fraction numbers and its example problems.
Example problems for how to add mixed fraction:
Ex : 1
Add the following mixed fraction numbers
3 `(2/5)` + 2 `(4/5)`
Sol :
First we have to convert mixed fraction to normal fraction take a first term
`(3*5 + 2) / (5)`
= `17 / 5`
Similarly take a second term
`(2*5 +4) / (5)`
= `14 / 5`
Now we add the both fraction check the denominator here both denominator area equal so add the numerator directly
`(17/5)` + (`14/5)`
= `(17+14) / (5)`
= `(31 / 5)`
Now we convert to mixed fraction
31 = (6*5) + 1
Therefore 6 `(1/5)`
The final answer is 6 `(1/5)`
Ex : 2
Adding mixed fractions numbers
2 `(3 / 4)` + 3 `(1 / 2)`
Sol :
First we have to convert mixed fraction to normal fraction take a first term
=` (2*4+ 3) / (4)`
= `(11 / 4)`
Similarly take the second term
=` (3*2 + 1) / (2)`
= `7 / 2`
Now we add the both fraction check the denominator here the denominators are different so we make the both denominators are equal
Multiply and divide by 2
`(7*2) / (2*2)`
`14 / 4`
Now both denominators are equal
= `(11+14) / (4)`
=` 25 / 4`
Now we convert to mixed fraction
25 can be write (6*4) + 1
Therefore the final answer is 6 `(1/4)`
Ex : 3
Add 1` (2/3)` + 2 `(2/3)`
Sol :
Convert to normal fraction we get
`5/3` + `8/3`
Here both denominators are equal so add the numerator directly
= `(5+8) / (3)`
= `13 / 3`
Now we convert to mixed fraction
13 can be written as (4*3) + 1
Therefore the final answer is 4` (1 / 3)`
Ex : 4
Add the following mixed fraction numbers
3 + 2
Sol :
First we have to convert mixed numbers to normal fraction
Take a first number
= (3*3) +2 / (3)
Simplify the above equation we get
=
Similarly take the second term
= (2*3) +1 / (3)
= `7/3`
Compare the two fraction denominators both are equal so add the numerator directly
= (11+7) / 3
=
The fraction is simplified and get 6
Therefore the final answer is 6
Ex: 5
Add the following mixed fraction numbers
1 + 2
Sol :
First we have to convert mixed fraction to normal fraction
Take the first term
= (1*4) + 3 / 4
Simplify the above equation we get
=
Similarly we take the second term
= (2*8) +2 / 8
=
Now we compare the denominator. Here both denominator are different so we will make both are equal.
Multiply and divide by 2 in
= (7*2) / (4*2)
=
Now denominators are equal add the numerator
= (14+18) / 8
=
Therefore the final answer is 4
Ex : 6Add the following mixed fractions
1 + 1
Sol :
First we have to convert mixed numbers to normal fraction
Take a first number
= (1*6) +5 / 6
=
Similarly take the second number
= (1*5) + 3 / 5
=
Here both denominators are different so we will make equal denominator
Multiply and divide by 5 in
= (11*5) / (6*5)
=
Similarly multiply and divide by 6 in
= (8*6) / (5*6)
=
Now add the numerator
= (55+48) /30
=
Now we convert to mixed fraction
103 can be written as (3*30) +13
Therefore the final answer is 3