Fraction to decimal formula
Introduction:
In math, we are using the different types of number representation like decimal, fraction, whole number and so on. The fraction is indicating the part of whole and the decimal is also one numeral system. We can convert the fraction to decimal using simple formula that is arithmetic operation division. Now we are going to see about fraction to decimal formula.
Explanation for fraction to decimal formula
Fraction in math:
The fraction is a reciprocal of integer and represented by divided symbol ‘/’. Above the divided symbol is called as numerator and the below divided symbol is called as denominator. For example, the fraction is `1/5` .
Decimal in math:
The decimal number is a representation ten as its base and the notation for decimal number is base-10 positional notation. For example, the decimal value is 0.5
Fraction to decimal formula:
For fraction to decimal conversion, the division operation is used as formula. The numerator value is divided by denominator. For example, the fraction ½ is converted to decimal as,
2 ) 10 (0.5
10
____
0
____
The decimal value of fraction `1/2` is 0.5
More about fraction to decimal formula
Example problems for fraction to decimal formula:
Problem 1: Fraction to Decimal Conversion using division formula.
`3/2`
Solution:
The given fraction is `3/2` .
2 ) 3 (1.5
2
_____
10
10
_____
0
_____
Therefore, the decimal value of fraction `3/2` is 1.5
Problem 2: Convert the given fraction to decimal using division formula.
`21/5`
Solution:
The given fraction is `21/5` .
5 ) 21 (4.2
20
_____
10
10
_____
0
_____
Therefore, the decimal value of fraction is 4.2
Exercise problems for fraction to decimal formula:
1. Convert the fraction `7/9 ` to decimal using division formula.
Solution: The decimal value of fraction `7/9` is 0.77
2. Convert the fraction `4/5` to decimal using division formula.
Solution: The decimal value of fraction `4/5` is 0.8
I like to share this Math Fractions with you all through my blog.
In math, we are using the different types of number representation like decimal, fraction, whole number and so on. The fraction is indicating the part of whole and the decimal is also one numeral system. We can convert the fraction to decimal using simple formula that is arithmetic operation division. Now we are going to see about fraction to decimal formula.
Explanation for fraction to decimal formula
Fraction in math:
The fraction is a reciprocal of integer and represented by divided symbol ‘/’. Above the divided symbol is called as numerator and the below divided symbol is called as denominator. For example, the fraction is `1/5` .
Decimal in math:
The decimal number is a representation ten as its base and the notation for decimal number is base-10 positional notation. For example, the decimal value is 0.5
Fraction to decimal formula:
For fraction to decimal conversion, the division operation is used as formula. The numerator value is divided by denominator. For example, the fraction ½ is converted to decimal as,
2 ) 10 (0.5
10
____
0
____
The decimal value of fraction `1/2` is 0.5
More about fraction to decimal formula
Example problems for fraction to decimal formula:
Problem 1: Fraction to Decimal Conversion using division formula.
`3/2`
Solution:
The given fraction is `3/2` .
2 ) 3 (1.5
2
_____
10
10
_____
0
_____
Therefore, the decimal value of fraction `3/2` is 1.5
Problem 2: Convert the given fraction to decimal using division formula.
`21/5`
Solution:
The given fraction is `21/5` .
5 ) 21 (4.2
20
_____
10
10
_____
0
_____
Therefore, the decimal value of fraction is 4.2
Exercise problems for fraction to decimal formula:
1. Convert the fraction `7/9 ` to decimal using division formula.
Solution: The decimal value of fraction `7/9` is 0.77
2. Convert the fraction `4/5` to decimal using division formula.
Solution: The decimal value of fraction `4/5` is 0.8
I like to share this Math Fractions with you all through my blog.