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12. Improper fraction to Mixed number example ( Enter your problem )

1. Example-1





1. Find Improper fraction to Mixed number of `5/3`

Solution:
`5/3=?`

Step-1: Divide the numerator 5 by the denominator 3
long division steps of `5/3`, we get quotient = 1 and remainder = 2



Solution is
 1
35
3=3 × 1
 2

`:.` 5 `-:` 3=1 Remainder 2
3 table
3×1=3
3×2=6
3×3=9
3×4=12
3×5=15
3×6=18
3×7=21
3×8=24
3×9=27
3×10=30




Step by step solution

Step by step solution :
Step-1 :
Set up the problem with long division bracket. Put dividend inside bracket and divisor on outside left.
  
35

Step-2 :
3 goes into 5 (1-times). Put a 1 in the next place of quotient and multiply 3 by 1 to get 3.
Subtract 3 from 5 to get remainder `(5-3=2)`.


 1
35
3=3 × 1
 2

The numerator 5 divided by the denominator 3, we get quotient = 1 and remainder = 2

Step-2: The mixed number can be created by using the quotient 1 as the whole number, the remainder 2 as the numerator and the denominator 3 remains the same.
Or Step-2: Write the mixed number as quotient `("remainder")/("divisor")`

So `5/3 = 1 (2)/(3)`
2. Find Improper fraction to Mixed number of `11/4`

Solution:
`11/4=?`

Step-1: Divide the numerator 11 by the denominator 4
long division steps of `11/4`, we get quotient = 2 and remainder = 3



Solution is
  2
411
 8=4 × 2
  3

`:.` 11 `-:` 4= 2 Remainder 3
4 table
4×1=4
4×2=8
4×3=12
4×4=16
4×5=20
4×6=24
4×7=28
4×8=32
4×9=36
4×10=40




Step by step solution

Step by step solution :
Step-1 :
Set up the problem with long division bracket. Put dividend inside bracket and divisor on outside left.
   
411

Step-2 :
4 goes into 11 (2-times). Put a 2 in the next place of quotient and multiply 4 by 2 to get 8.
Subtract 8 from 11 to get remainder `(11-8=3)`.


  2
411
 8=4 × 2
  3

The numerator 11 divided by the denominator 4, we get quotient = 2 and remainder = 3

Step-2: The mixed number can be created by using the quotient 2 as the whole number, the remainder 3 as the numerator and the denominator 4 remains the same.
Or Step-2: Write the mixed number as quotient `("remainder")/("divisor")`

So `11/4 = 2 (3)/(4)`
3. Find Improper fraction to Mixed number of `19/5`

Solution:
`19/5=?`

Step-1: Divide the numerator 19 by the denominator 5
long division steps of `19/5`, we get quotient = 3 and remainder = 4



Solution is
  3
519
15=5 × 3
  4

`:.` 19 `-:` 5= 3 Remainder 4
5 table
5×1=5
5×2=10
5×3=15
5×4=20
5×5=25
5×6=30
5×7=35
5×8=40
5×9=45
5×10=50




Step by step solution

Step by step solution :
Step-1 :
Set up the problem with long division bracket. Put dividend inside bracket and divisor on outside left.
   
519

Step-2 :
5 goes into 19 (3-times). Put a 3 in the next place of quotient and multiply 5 by 3 to get 15.
Subtract 15 from 19 to get remainder `(19-15=4)`.


  3
519
15=5 × 3
  4

The numerator 19 divided by the denominator 5, we get quotient = 3 and remainder = 4

Step-2: The mixed number can be created by using the quotient 3 as the whole number, the remainder 4 as the numerator and the denominator 5 remains the same.
Or Step-2: Write the mixed number as quotient `("remainder")/("divisor")`

So `19/5 = 3 (4)/(5)`
4. Find Improper fraction to Mixed number of `10/3`

Solution:
`10/3=?`

Step-1: Divide the numerator 10 by the denominator 3
long division steps of `10/3`, we get quotient = 3 and remainder = 1



Solution is
  3
310
 9=3 × 3
  1

`:.` 10 `-:` 3= 3 Remainder 1
3 table
3×1=3
3×2=6
3×3=9
3×4=12
3×5=15
3×6=18
3×7=21
3×8=24
3×9=27
3×10=30




Step by step solution

Step by step solution :
Step-1 :
Set up the problem with long division bracket. Put dividend inside bracket and divisor on outside left.
   
310

Step-2 :
3 goes into 10 (3-times). Put a 3 in the next place of quotient and multiply 3 by 3 to get 9.
Subtract 9 from 10 to get remainder `(10-9=1)`.


  3
310
 9=3 × 3
  1

The numerator 10 divided by the denominator 3, we get quotient = 3 and remainder = 1

Step-2: The mixed number can be created by using the quotient 3 as the whole number, the remainder 1 as the numerator and the denominator 3 remains the same.
Or Step-2: Write the mixed number as quotient `("remainder")/("divisor")`

So `10/3 = 3 (1)/(3)`




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