If two numbers are in a / b form, then it said to be a fraction notation,
Here, a (numerator)/ b (denominator) à both ‘a’ and ‘b’ not equal to zero.
Types of fraction:
1. Proper Fraction.
2. Improper Fraction.
3. Mixed Fraction.
Decimal value is based on base 10. In day today life we may use the number 0,1,2,3,4,5,6,7,8,9 the decimal number that uses a dot followed by a digits. Example 1.2
2/5 here 2 is the numerator and 5 is the denominator
When we divide 2 to 5 we will get 0.4 as decimal value
From the above example, 2 is not divisible by 5. So In quotient we will put the dot and zero is append to the numerator. Now the numerator becomes 20. The number 20 is divisible by 4 times in 5. So the answer will be 0.4.
In fraction simplify the fraction as the smallest fraction and then find the decimal value
For example 2/4 here 2 is the common factor for the numerator and denominator. The common denominator gets cancelled. For the above fraction ½ is the simplified fraction and the corresponding decimal value is 0.5
Note: In fraction the denominator is zero means the value is infinity.
Fraction |
Decimal |
1/1 |
1 |
½ |
0.50 |
1/3 |
0.33 |
¼ |
0.25 |
1/5 |
0.20 |
1/6 |
0.167 |
1/7 |
0.143 |
1/8 |
0.125 |
1/9 |
0.11 |
2/1 |
2.0 |
2/2 |
1.0 |
2/3 |
0.667 |
2/4 |
0.5 |
2/5 |
0.4 |
2/6 |
0.33 |
2/7 |
0.285 |
2/8 |
0.25 |
2/9 |
0.22 |
3/1 |
3.0 |
3/2 |
1.5 |
3/3 |
1.0 |
¾ |
0.75 |
3/5 |
0.60 |
3/6 |
0.50 |
3/7 |
0.43 |
3/8 |
0.375 |
3/9 |
0.33 |
4/1 |
4.0 |
4/2 |
2.0 |
4/3 |
1.33 |
4/4 |
1.0 |
4/5 |
0.80 |
4/6 |
0.667 |
4/7 |
0.57 |
4/8 |
0.50 |
4/9 |
0.44 |
5/1 |
5.0 |
5/2 |
2.5 |
5/3 |
1.667 |
5/4 |
1.25 |
5/5 |
1.0 |
5/6 |
0.83 |
5/7 |
0.71 |
5/8 |
0.625 |
5/9 |
0.556 |
From the above tale if the denominator is increase the decimal value decrease.