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Home > Pre-Algebra calculators > Fraction to Decimal example (Mixed Number to Decimal example)
8. Fraction to Decimal (Mixed Number to Decimal) 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. 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
7. How many eighths are equivalent to 1/2
(Previous method)		9. Decimal to Fraction (Decimal to Mixed Number)
(Next method)

1. Example-1


1. Find Convert Fraction to Decimal of `3/4`

Solution:
Method-1: Long Division Method for 3 divided by 4
 0.75
43.00
−28  = 4 × 7
  20
 −20 = 4 × 5
  0
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

`3/4=0.75`


Method-2: Expand the denominator to be a power of 10.
`3/4`

If we multiply denominator 4 by 25, it becomes 100 (power of 10).
So multiply numerator and denominator by 25

`=(3 xx 25)/(4 xx 25)`

`=(75)/(100)`

100 has 2 zeros, So write 75 with 2 decimal point from the right

`=0.75`
2. Find Convert Fraction to Decimal of `1/2`

Solution:
Method-1: Long Division Method for 1 divided by 2
 0.5
21.0
−10 = 2 × 5
  0
2 table
2×1=2
2×2=4
2×3=6
2×4=8
2×5=10
2×6=12
2×7=14
2×8=16
2×9=18
2×10=20

`1/2=0.5`


Method-2: Expand the denominator to be a power of 10.
`1/2`

If we multiply denominator 2 by 5, it becomes 10 (power of 10).
So multiply numerator and denominator by 5

`=(1 xx 5)/(2 xx 5)`

`=(5)/(10)`

10 has 1 zeros, So write 5 with 1 decimal point from the right

`=0.5`
3. Find Convert Fraction to Decimal of `3/2`

Solution:
Method-1: Long Division Method for 3 divided by 2
 1.5
23.0
−2  = 2 × 1
 10
−10 = 2 × 5
  0
2 table
2×1=2
2×2=4
2×3=6
2×4=8
2×5=10
2×6=12
2×7=14
2×8=16
2×9=18
2×10=20

`3/2=1.5`


Method-2: Expand the denominator to be a power of 10.
`3/2`

If we multiply denominator 2 by 5, it becomes 10 (power of 10).
So multiply numerator and denominator by 5

`=(3 xx 5)/(2 xx 5)`

`=(15)/(10)`

10 has 1 zeros, So write 15 with 1 decimal point from the right

`=1.5`
4. Find Convert Fraction to Decimal of `10/3`

Solution:
Method-1: Long Division Method for 10 divided by 3
  3.33333
310.00000
 −9      = 3 × 3
  10    
  −9     = 3 × 3
  10   
  −9    = 3 × 3
  10  
  −9   = 3 × 3
  10 
  −9  = 3 × 3
  10
  −9 = 3 × 3
  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

`10/3=3.33333`

This material is intended as a summary. Use your textbook for detail explanation.
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7. How many eighths are equivalent to 1/2
(Previous method)		9. Decimal to Fraction (Decimal to Mixed Number)
(Next method)


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