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Home > Pre-Algebra calculators > Mixed Number to Improper Fraction example
13. Mixed Number to Improper Fraction example ( Enter your problem )
( Enter your problem )
  1. Example-1
 		Other related methods
  1. Numerator and Denominator
  2. Proper and Improper Fractions
  3. Like and Unlike fractions
  4. Model Fractions (Visual Fractions)
  5. Simplify Fraction
  6. Equivalent Fractions
  7. How many eighths are equivalent to 1/2
  8. Fraction to Decimal (Mixed Number to Decimal)
  9. Decimal to Fraction (Decimal to Mixed Number)
  10. Fraction to Percentage (Mixed Number to Percentage)
  11. Percent to Fraction
  12. Improper fraction to Mixed number
  13. Mixed Number to Improper Fraction
  14. Reciprocal of a fraction
  15. LCD of fractions
  16. Convert unlike fraction to like fraction
  17. Comparing fractions
  18. Ascending and descending order of fractions
  19. Add, subtract, multiply and divide of Fractions
  20. Add, subtract, multiply and divide of Mixed numbers
  21. Visual Model for Adding, Subtracting of Fractions
  22. Simplify fraction expression
12. Improper fraction to Mixed number
(Previous method)		14. Reciprocal of a fraction
(Next method)

1. Example-1


1. Find Mixed Number to Improper Fraction of `1 2/3`

Solution:
Method-1:
`1 (2)/(3)=((1 xx 3)+2)/3=(3+2)/3=5/3`


Method-2:
`1 (2)/(3)`

Step-1 : Multiply the denominator(3) by the whole number(1)
`3 xx 1=3`

Step-2 : Add the product(3) to the numerator(2)
`3+2=5`

Step-3 :Write the sum(5) over the denominator(3)
`5/3`

So, `1 (2)/(3)=5/3`


Method-3:
`1 (2)/(3)`

Step-1 : Multiply the whole number(1) by the denominator(3)
`(1 xx 3+"[ ]")/("[ ]")`

Step-2 : Simplify
`(3+"[ ]")/("[ ]")`

Step-3 : Add the product(3) to the numerator(2)
`(3+2)/("[ ]")`

Step-4 : Simplify
`(5)/("[ ]")`

Step-5 : Write the sum(5) over the denominator(3)
`5/3`

So, `1 (2)/(3)=5/3`
2. Find Mixed Number to Improper Fraction of `2 3/4`

Solution:
Method-1:
`2 (3)/(4)=((2 xx 4)+3)/4=(8+3)/4=11/4`


Method-2:
`2 (3)/(4)`

Step-1 : Multiply the denominator(4) by the whole number(2)
`4 xx 2=8`

Step-2 : Add the product(8) to the numerator(3)
`8+3=11`

Step-3 :Write the sum(11) over the denominator(4)
`11/4`

So, `2 (3)/(4)=11/4`


Method-3:
`2 (3)/(4)`

Step-1 : Multiply the whole number(2) by the denominator(4)
`(2 xx 4+"[ ]")/("[ ]")`

Step-2 : Simplify
`(8+"[ ]")/("[ ]")`

Step-3 : Add the product(8) to the numerator(3)
`(8+3)/("[ ]")`

Step-4 : Simplify
`(11)/("[ ]")`

Step-5 : Write the sum(11) over the denominator(4)
`11/4`

So, `2 (3)/(4)=11/4`
3. Find Mixed Number to Improper Fraction of `3 4/5`

Solution:
Method-1:
`3 (4)/(5)=((3 xx 5)+4)/5=(15+4)/5=19/5`


Method-2:
`3 (4)/(5)`

Step-1 : Multiply the denominator(5) by the whole number(3)
`5 xx 3=15`

Step-2 : Add the product(15) to the numerator(4)
`15+4=19`

Step-3 :Write the sum(19) over the denominator(5)
`19/5`

So, `3 (4)/(5)=19/5`


Method-3:
`3 (4)/(5)`

Step-1 : Multiply the whole number(3) by the denominator(5)
`(3 xx 5+"[ ]")/("[ ]")`

Step-2 : Simplify
`(15+"[ ]")/("[ ]")`

Step-3 : Add the product(15) to the numerator(4)
`(15+4)/("[ ]")`

Step-4 : Simplify
`(19)/("[ ]")`

Step-5 : Write the sum(19) over the denominator(5)
`19/5`

So, `3 (4)/(5)=19/5`
4. Find Mixed Number to Improper Fraction of `1 2/7`

Solution:
Method-1:
`1 (2)/(7)=((1 xx 7)+2)/7=(7+2)/7=9/7`


Method-2:
`1 (2)/(7)`

Step-1 : Multiply the denominator(7) by the whole number(1)
`7 xx 1=7`

Step-2 : Add the product(7) to the numerator(2)
`7+2=9`

Step-3 :Write the sum(9) over the denominator(7)
`9/7`

So, `1 (2)/(7)=9/7`


Method-3:
`1 (2)/(7)`

Step-1 : Multiply the whole number(1) by the denominator(7)
`(1 xx 7+"[ ]")/("[ ]")`

Step-2 : Simplify
`(7+"[ ]")/("[ ]")`

Step-3 : Add the product(7) to the numerator(2)
`(7+2)/("[ ]")`

Step-4 : Simplify
`(9)/("[ ]")`

Step-5 : Write the sum(9) over the denominator(7)
`9/7`

So, `1 (2)/(7)=9/7`

This material is intended as a summary. Use your textbook for detail explanation.
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12. Improper fraction to Mixed number
(Previous method)		14. Reciprocal of a fraction
(Next method)


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