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

Solution:
Method-1: Long Division Method for 3 divided by 4

0 .7 5 4 3 .0 0 − 2 8   = 4 × 7   2 0   − 2 0 = 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`

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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`

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

Solution:
Method-1: Long Division Method for 1 divided by 2

0 .5 2 1 .0 − 1 0 = 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`

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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`

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

Solution:
Method-1: Long Division Method for 3 divided by 2

1 .5 2 3 .0 − 2   = 2 × 1   1 0 − 1 0 = 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`

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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`

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

Solution:
Method-1: Long Division Method for 10 divided by 3

3 .3 3 3 3 3 3 1 0 .0 0 0 0 0   − 9           = 3 × 3   1 0           − 9         = 3 × 3   1 0         − 9       = 3 × 3   1 0       − 9     = 3 × 3   1 0     − 9   = 3 × 3   1 0   − 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`

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