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Home > Pre-Algebra calculators > Visual Model for Adding, Subtracting of Fractions example
20. Visual Model for Adding, Subtracting of Fractions example ( Enter your problem )
( Enter your problem )
  1. Visual Addition of Fractions examples
  2. Visual Subtraction of Fractions examples
 		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. Improper fraction to Mixed number
  12. Mixed Number to Improper Fraction
  13. Reciprocal of a fraction
  14. LCD of fractions
  15. Convert unlike fraction to like fraction
  16. Comparing fractions
  17. Ascending and descending order of fractions
  18. Add, subtract, multiply and divide of Fractions
  19. Add, subtract, multiply and divide of Mixed numbers
  20. Visual Model for Adding, Subtracting of Fractions
  21. Simplify fraction expression
19. Add, subtract, multiply and divide of Mixed numbers
(Previous method)		2. Visual Subtraction of Fractions examples
(Next example)

1. Visual Addition of Fractions examples


1. Find `1/2 + 3/4`

Solution:
We will use fraction circles

Here, LCM of 2 and 4 is 4. Convert each fractions into like fractions. So multiply numerator and denominator by the ratio of LCM and denominator of the fraction

`(1)/(2)=(1xx2)/(2xx2)=(2)/(4)`

`(3)/(4)=(3xx1)/(4xx1)=(3)/(4)`

`(2)/(4)`

`2/4`
2 parts of `1/4`
+ `(3)/(4)`

`3/4`
+ 3 parts of `1/4`
`5/4``=1 1/4`

1
`1/4`
5 parts of `1/4`


So, `(1)/(2) + (3)/(4)=1 1/4`
2. Find `3/4 + 1/4`

Solution:
We will use fraction circles

`(3)/(4)`

`3/4`
3 parts of `1/4`
+ `(1)/(4)`

`1/4`
+ 1 parts of `1/4`
`4/4``=1 `

1
4 parts of `1/4`


So, `(3)/(4) + (1)/(4)=1 `
3. Find `1 3/4 + 1 2/4`

Solution:
We will use fraction circles

`1(3)/(4)`

1
`3/4`
7 parts of `1/4`
+ `1(2)/(4)`

1
`2/4`
+ 6 parts of `1/4`
`2 5/4``=3 1/4`

1
1
1

`1/4`
13 parts of `1/4`


So, `1 (3)/(4) + 1 (2)/(4)=3 1/4`
4. Find `1 2/3 + 1 2/3`

Solution:
We will use fraction circles

`1(2)/(3)`

1
`2/3`
5 parts of `1/3`
+ `1(2)/(3)`

1
`2/3`
+ 5 parts of `1/3`
`2 4/3``=3 1/3`

1
1
1

`1/3`
10 parts of `1/3`


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

This material is intended as a summary. Use your textbook for detail explanation.
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19. Add, subtract, multiply and divide of Mixed numbers
(Previous method)		2. Visual Subtraction of Fractions examples
(Next example)


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