Home > Pre-Algebra calculators > Decimal to Fraction example (Decimal to Mixed Number example)

9. Decimal to Fraction (Decimal to Mixed Number) example ( 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. 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

8. Fraction to Decimal (Mixed Number to Decimal)
(Previous method)
10. Fraction to Percentage (Mixed Number to Percentage)
(Next method)

1. Example-1





1. Find Decimal to Fraction of `0.75`

Solution:
`0.75 = 75/100=(75 -: 25)/(100 -: 25) = 3/4`



Step by step solution :
Step-1 : write the decimal number as a fraction (by dividing 1)
`0.75=0.75/1`

Step-2 : To eliminate 2 decimal places, multiply both numerator and denominator by `10^2=100`

`0.75/1 xx 100/100=75/100`

Step-3 : Find the Greatest Common Factor (GCF) of `75` and `100`, and reduce the fraction by dividing both numerator and denominator by GCF = 25

`=(75 -: 25)/(100 -: 25)=3/4`

So `0.75 = 3/4` 2. Find Decimal to Fraction of `0.5`

Solution:
`0.5 = 5/10=(5 -: 5)/(10 -: 5) = 1/2`



Step by step solution :
Step-1 : write the decimal number as a fraction (by dividing 1)
`0.5=0.5/1`

Step-2 : To eliminate 1 decimal places, multiply both numerator and denominator by `10^1=10`

`0.5/1 xx 10/10=5/10`

Step-3 : Find the Greatest Common Factor (GCF) of `5` and `10`, and reduce the fraction by dividing both numerator and denominator by GCF = 5

`=(5 -: 5)/(10 -: 5)=1/2`

So `0.5 = 1/2` 3. Find Decimal to Fraction of `1.5`

Solution:
`1.5 = 15/10=(15 -: 5)/(10 -: 5) = 3/2 = 1 (1)/(2)`



Step by step solution :
Step-1 : write the decimal number as a fraction (by dividing 1)
`1.5=1.5/1`

Step-2 : To eliminate 1 decimal places, multiply both numerator and denominator by `10^1=10`

`1.5/1 xx 10/10=15/10`

Step-3 : Find the Greatest Common Factor (GCF) of `15` and `10`, and reduce the fraction by dividing both numerator and denominator by GCF = 5

`=(15 -: 5)/(10 -: 5)=3/2`

Step-4 : Simplify the improper fraction
`3/2 = 1 (1)/(2)`

So `1.5 = 1 (1)/(2)` 4. Find Decimal to Fraction of `3.33333`

Solution:
`3.33... = 3 (1)/(3)`



Step by step solution :
Step-1 : let `x` equals the decimal number

`x = 3.33... ->(1)`

Step-2 : Here repeating digits is 1, So create a second equation by multiplying both sides by `10^1 = 10`

`10 x = 33.333... ->(2)`

Subtract equation (1) from equation (2)
`10 x`=`33.333...`
`x`=`3.33...`

`9 x`=`30`


`:. x = 30/9`


Step-3 : Find the Greatest Common Factor (GCF) of `30` and `9`, and reduce the fraction by dividing both numerator and denominator by GCF = 3

`=(30 -: 3)/(9 -: 3)=10/3`

Step-4 : Simplify the improper fraction
`10/3 = 3 (1)/(3)`

So `3.33... = 3 (1)/(3)`


This material is intended as a summary. Use your textbook for detail explanation.
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8. Fraction to Decimal (Mixed Number to Decimal)
(Previous method)
10. Fraction to Percentage (Mixed Number to Percentage)
(Next method)





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