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Home > Pre-Algebra calculators > Fraction to Decimal example
2. Convert Fraction to Decimal example ( Enter your problem )
( Enter your problem )
  1. Example-1
 		Other related methods
  1. Decimal to Fraction
  2. Fraction to Decimal
  3. Decimal to Percentage
  4. Percentage to Decimal
  5. Decimal to Standard form
  6. Standard form to Decimal form
  7. Expanded form of a number
  8. Succeeding number
  9. Preceding number
  10. Even or odd number
  11. Comparing Numbers (Greater Than Or Less Than)
  12. Minimum number
  13. Maximum number
  14. Ascending, Descending order of numbers
  15. Rounding Numbers
  16. Classifying numbers (Rational,Irrational,Real,Natural,Integer)
  17. Terminating or non terminating decimal expansion
  18. Additive inverse
  19. Multiplicative inverse
  20. Opposite number
  21. Reciprocal number
  22. Absolute value of a number
  23. +, -, *, / of numbers
  24. Model +, - of numbers
  25. Simplify expression
1. Decimal to Fraction
(Previous method)		3. Decimal to Percentage
(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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1. Decimal to Fraction
(Previous method)		3. Decimal to Percentage
(Next method)


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