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
`:.` 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 |
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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.
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)`.
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
`:.` 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 |
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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.
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)`.
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
`:.` 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 |
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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.
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)`.
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
`:.` 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 |
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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.
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)`.
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)`
This material is intended as a summary. Use your textbook for detail explanation.
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