Make a fraction into a decimal
Introduction :
Fraction is a type of number system which consists of two sections as numerator and denominator, numerator is nothing but the upper part and denominator is nothing but the lower part of fractions. In fractions when denominator is in power of 10, then it changes into decimal.
Example: `5/4` , `3/7`
Decimals provide a way to represent numbers that are not whole number.
Example: 0.354, 45.6.
Making fraction into decimal involve certain steps to solve the problems, In this article let us make a fraction into a decimal.
Example Problems - Make a fraction into a decimal:
Example 1:
Make a fraction into a decimal `2/5` .
Solution:
`2/5` Here try to make the given fraction into power of 10.
`2/5` Can be written as multiple of 2 as `4/10`
`4/10` = 0.4 thus decimal value.
Example 2:
Make a fraction into a decimal `8/5` .
Solution:
`8/5` Here try to make the given fraction into multiple of 10.
`8/5` = `16/10` Can be written as multiple of 2.
`16/10` = 1.6 thus decimal value.
Example 3:
Make a fraction into a decimal `20/50` .
Solution:
`20/50` Here try to make the given fraction into power of 10.
`20/50` Can be written as `40/100`
`20/50` = `40/100` = `4/10` = 0.4 thus decimal value.
Example 4:
Make a fraction into a decimal `8/25` .
Solution:
`8/25` Here try to make the given fraction into multiple of 10.
`8/25` Can be written as multiple of 4.
`8/25` = `32/100` = 0.32 thus decimal value.
Example 5:
Make a fraction into a decimal `4/100 ` .
Solution:
` 4/100` Easy step is `4/1` = 4 then place the decimal point based on number of zeros.
`4/100` = 0.04
`4/100` = 0.04 thus decimal value.
Some other example problems - Make a fraction into a decimal:
Example 6:
Make a fraction into a decimal,
`8/16` Try to simplify if both numerator and denominator are divisible.
`8/16` Here both numerator and denominator are divisible by 8.
`1/2` = 0.5 (decimal)
Example 7:
Make a fraction into a decimal,
`20/30` Try to simplify if both numerator and denominator are divisible.
`20/30` = `2/3` Here both numerator and denominator are divisible by 10.
`2/3` = 0.67 (decimal)
Example 8:
Make a fraction into a decimal,
`8/20` here we take division method,
0.4
= 20 | 80
80
0
Here put the decimal point in quotient based on number of zeros thus need to make numerator greater than denominator.
`8/20` (Fraction) = `0.4` (decimal)
Fraction is a type of number system which consists of two sections as numerator and denominator, numerator is nothing but the upper part and denominator is nothing but the lower part of fractions. In fractions when denominator is in power of 10, then it changes into decimal.
Example: `5/4` , `3/7`
Decimals provide a way to represent numbers that are not whole number.
Example: 0.354, 45.6.
Making fraction into decimal involve certain steps to solve the problems, In this article let us make a fraction into a decimal.
Example Problems - Make a fraction into a decimal:
Example 1:
Make a fraction into a decimal `2/5` .
Solution:
`2/5` Here try to make the given fraction into power of 10.
`2/5` Can be written as multiple of 2 as `4/10`
`4/10` = 0.4 thus decimal value.
Example 2:
Make a fraction into a decimal `8/5` .
Solution:
`8/5` Here try to make the given fraction into multiple of 10.
`8/5` = `16/10` Can be written as multiple of 2.
`16/10` = 1.6 thus decimal value.
Example 3:
Make a fraction into a decimal `20/50` .
Solution:
`20/50` Here try to make the given fraction into power of 10.
`20/50` Can be written as `40/100`
`20/50` = `40/100` = `4/10` = 0.4 thus decimal value.
Example 4:
Make a fraction into a decimal `8/25` .
Solution:
`8/25` Here try to make the given fraction into multiple of 10.
`8/25` Can be written as multiple of 4.
`8/25` = `32/100` = 0.32 thus decimal value.
Example 5:
Make a fraction into a decimal `4/100 ` .
Solution:
` 4/100` Easy step is `4/1` = 4 then place the decimal point based on number of zeros.
`4/100` = 0.04
`4/100` = 0.04 thus decimal value.
Some other example problems - Make a fraction into a decimal:
Example 6:
Make a fraction into a decimal,
`8/16` Try to simplify if both numerator and denominator are divisible.
`8/16` Here both numerator and denominator are divisible by 8.
`1/2` = 0.5 (decimal)
Example 7:
Make a fraction into a decimal,
`20/30` Try to simplify if both numerator and denominator are divisible.
`20/30` = `2/3` Here both numerator and denominator are divisible by 10.
`2/3` = 0.67 (decimal)
Example 8:
Make a fraction into a decimal,
`8/20` here we take division method,
0.4
= 20 | 80
80
0
Here put the decimal point in quotient based on number of zeros thus need to make numerator greater than denominator.
`8/20` (Fraction) = `0.4` (decimal)