1. Find Fraction to Percentage of `3/4`
Solution:
Method-1:
`3/4=3/4 xx 100=75 %`
Method-2:
Step-1: Convert fraction to decimal number
Steps of converting fraction to decimal number
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 |
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`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`
Step-2: Multiply by 100 to convert decimal number to percent
`0.75xx100=75 %`
2. Find Fraction to Percentage of `1/2`
Solution:
Method-1:
`1/2=1/2 xx 100=50 %`
Method-2:
Step-1: Convert fraction to decimal number
Steps of converting fraction to decimal number
Method-1: Long Division Method for 1 divided by 2 | | | 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 |
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`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`
Step-2: Multiply by 100 to convert decimal number to percent
`0.5xx100=50 %`
3. Find Fraction to Percentage of `3/2`
Solution:
Method-1:
`3/2=3/2 xx 100=150 %`
Method-2:
Step-1: Convert fraction to decimal number
Steps of converting fraction to decimal number
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 |
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`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`
Step-2: Multiply by 100 to convert decimal number to percent
`1.5xx100=150 %`
4. Find Fraction to Percentage of `10/3`
Solution:
Method-1:
`10/3=10/3 xx 100=333.33 %`
Method-2:
Step-1: Convert fraction to decimal number
Steps of converting fraction to decimal number
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 |
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`10/3=3.33333`
Step-2: Multiply by 100 to convert decimal number to percent
`3.33333xx100=333.33 %`
This material is intended as a summary. Use your textbook for detail explanation.
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