A fraction is nothing but the division of the whole number into equal parts. A fraction where the denominator is a power of 10 such as 10, 100, 1000, and so on is called a Decimal Fraction. The recurring or nonrecurring decimal numbers can be written as fractions. The decimal as fractions helps us to perform all arithmetic operations such as addition, subtraction, multiplication, and division easily.
Students who don’t understand the concept of converting decimals as fractions can go through this page. We have presented how to write a decimal as a fraction in the below section with suitable examples. So, the students who feel difficulty in solving decimal to fraction can go through the steps and solve the problems.
Do Refer:
Rewriting Decimals as Fractions | How to Convert a Decimal to Fraction?
You can convert the decimal as fraction by following three steps. Follow the below steps and know how to convert decimal to fraction.
Step 1: First you have to rewrite the decimal number over one as a fraction where the decimal number is the numerator and the decimal number is 1.
Example: 0.15/1
Step 2: Multiply the numerator and denominator by 10 to the power of the number of digits after the decimal point. If there is more than one value like 2 numbers after decimal point then you have to multiply by 100, if there are three values after the decimal point then multiply by 1000 and so on.
0.15/1 × 100/100 = 15/100
Step 3: Express the fraction in decimal fraction form and simplest form.
15/100 = 3/20
Problems on Converting Decimals to Fractions
Example 1.
Convert the decimal number 10.3 as the fraction.
Solution:
Given the decimal number 10.3
Now we have to convert the decimal as a fraction.
Rewrite the decimal number over one as a fraction where the decimal number is the numerator and the decimal number is 1.
\(\frac{10.3}{1}\)
Here we can see one number after the decimal point.
So, you have to write the fraction according to the place value.
There are two points after the decimal point so you have to multiply by 10.
\(\frac{10.3}{1}\) × \(\frac{10}{10}\) = \(\frac{103}{10}\)
Now Express the fraction in decimal fraction form and simplest form.
\(\frac{103}{10}\)
Thus 10.3 can be written from decimal to fraction as \(\frac{103}{10}\)
Example 2.
Convert the decimal number 1.32 as the fraction.
Solution:
Given the decimal number 1.32
Now we have to convert the decimal as a fraction.
Rewrite the decimal number over one as a fraction where the decimal number is the numerator and the decimal number is 1.
\(\frac{1.32}{1}\)
Here we can see two numbers after the decimal point.
So, you have to write the fraction according to the place value.
There are two points after the decimal point so you have to multiply by 100.
\(\frac{1.32}{1}\) × \(\frac{100}{100}\) = \(\frac{132}{100}\)
Now Express the fraction in decimal fraction form and simplest form.
1 \(\frac{8}{25}\)
Thus 1.32 can be written from decimal to fraction as 1 \(\frac{8}{25}\)
Example 3.
Convert the decimal number 5.025 as the fraction.
Solution:
Given the decimal number 5.025
Now we have to convert the decimal as a fraction.
Rewrite the decimal number over one as a fraction where the decimal number is the numerator and the decimal number is 1.
\(\frac{5.025}{1}\)
Here we can see three numbers after the decimal point.
So, you have to write the fraction according to the place value.
There are two points after the decimal point so you have to multiply by 1000.
\(\frac{5.025}{1}\) × \(\frac{1000}{1000}\) = \(\frac{5025}{1000}\)
Now Express the fraction in decimal fraction form and simplest form.
5 \(\frac{1}{40}\)
Thus 5.025 can be written from decimal to fraction as 5 \(\frac{1}{40}\)
Example 4.
Convert the decimal number 1.732 as the fraction.
Solution:
Given the decimal number 1.732
Now we have to convert the decimal as a fraction.
Rewrite the decimal number over one as a fraction where the decimal number is the numerator and the decimal number is 1.
\(\frac{1.732}{1}\)
Here we can see three numbers after the decimal point.
So, you have to write the fraction according to the place value.
There are two points after the decimal point so you have to multiply by 1000.
\(\frac{1.732}{1}\) × \(\frac{1000}{1000}\) = \(\frac{1732}{1000}\)
Now Express the fraction in decimal fraction form and simplest form.
1 \(\frac{183}{250}\)
Thus 1.732 can be written from decimal to fraction as 1 \(\frac{183}{250}\)
Example 5.
Convert the decimal number 2.15 as the fraction.
Solution:
Given the decimal number 2.15
Now we have to convert the decimal as fraction.
Rewrite the decimal number over one as a fraction where the decimal number is the numerator and the decimal number is 1.
\(\frac{2.15}{1}\)
Here we can see two numbers after the decimal point.
So, you have to write the fraction according to the place value.
There are two points after the decimal point so you have to multiply by 100.
\(\frac{2.15}{1}\) × \(\frac{100}{100}\) = \(\frac{215}{100}\)
Now Express the fraction in decimal fraction form and simplest form.
2 \(\frac{3}{20}\)
Therefore 2.15 can be written from decimal to fraction as 2 \(\frac{3}{20}\)
FAQs on Decimal as Fraction
1. How do you write a decimal as a fraction?
Decimals can be written in the form of fractions. To convert a decimal as a fraction, place the decimal number over its place value and then multiply the numerator and denominator.
2. What is 1.35 as a fraction?
First you have to rewrite the decimal number over one as a fraction where the decimal number is the numerator and the decimal number is 1.
\(\frac{1.35}{1}\)
Here we can see two numbers after the decimal point.
So, you have to write the fraction according to the place value.
There are two points after the decimal point so you have to multiply by 100.
\(\frac{1.35}{1}\) × \(\frac{100}{100}\) = \(\frac{135}{100}\)
Now Express the fraction in decimal fraction form and simplest form.
\(\frac{135}{100}\) = \(\frac{27}{20}\)
Therefore the decimal 1.35 as fraction is \(\frac{27}{20}\)
3. How do you write 0.22 as a fraction?
First you have to rewrite the decimal number over one as a fraction where the decimal number is the numerator and the decimal number is 1.
\(\frac{0.22}{1}\)
Here we can see two numbers after the decimal point.
So, you have to write the fraction according to the place value.
There are two points after the decimal point so you have to multiply by 100.
\(\frac{0.22}{1}\) × \(\frac{100}{100}\) = \(\frac{22}{100}\)
Now Express the fraction in decimal fraction form and simplest form.
\(\frac{22}{100}\) = \(\frac{11}{50}\)
Therefore the decimal 0.22 as fraction is \(\frac{11}{50}\)