Fraction as Decimal: A decimal number is a non-whole number where a decimal point is followed by digits that represent a value that is smaller than one. A fraction is a number that is divided into two parts numerator and denominator which is less than 1. Students will learn the conversion of fractions as Decimal from this page. You can see How to Convert Fractions to Decimals with related examples with a brief explanation from here. Read the entire page to know the easy way to convert fractions to decimals.
Do Refer:
How to Convert Fraction to Decimals?
Students who are looking for in-depth knowledge on fraction as decimal, check out the below steps to convert the fraction as decimal.
1. A fraction is made up of two parts numerator and denominator. It represents how many parts we have out of total number.
2. The numerator and denominator can be rewritten using the decimal symbol.
3. In order to convert a fraction as decimal divide the numerator by denominator.
4. Use calculator or long division method to write fraction as decimal.
5. After that write the result as decimal.
Expressing Fraction as Decimal Examples
When we convert the fraction as decimal, we divide the numerator of the fraction by the denominator. Go through the below examples to enhance your knowledge.
Example 1.
Write the fraction \(\frac{5}{100}\) as decimal form.
Solution:
Given the fraction \(\frac{5}{100}\)
We have to convert the fraction as a decimal.
Now divide the numerator and denominator.
10, 100, 1000 in the denominator can be written as the point in the decimal form.
Here there are two zeros so you have to shift the number to the left side.
So the fraction \(\frac{5}{100}\) can be written in the decimal form as 0.05
Example 2.
Write the fraction \(\frac{3}{11}\) as decimal form.
Solution:
Given the fraction \(\frac{3}{11}\)
We have to convert the fraction as a decimal.
Now divide the numerator and denominator.
Thus the fraction \(\frac{3}{11}\) to decimal form is 0.272
Example 3.
Write the fraction \(\frac{17}{24}\) as decimal form.
Solution:
Given the fraction \(\frac{17}{24}\)
We have to convert the fraction as a decimal.
Now divide the numerator and denominator.
Thus the fraction \(\frac{17}{24}\) as the decimal form is 0.708
Example 4.
Write the fraction \(\frac{4}{10}\) as decimal form.
Solution:
Given the fraction \(\frac{4}{10}\)
We have to convert the fraction as a decimal.
Now divide the numerator and denominator.
10, 100, 1000 in the denominator can be written as the point in the decimal form.
\(\frac{4}{10}\) = 0.4
Here there is one zero so you have to shift the number to the left side.
Example 5.
Write the fraction \(\frac{16}{23}\) as decimal form.
Solution:
Given the fraction \(\frac{16}{23}\)
We have to convert the fraction as a decimal.
Now divide the numerator and denominator.
Thus the fraction \(\frac{16}{23}\) as the decimal form is 0.695
FAQs on Fraction as Decimal
1. How to convert fractions to decimals?
To convert fractions to decimals, divide the numerator by the denominator value.
2. What is \(\frac{1}{3}\) as a decimal?
Given the fraction \(\frac{1}{3}\)
We have to convert the fraction as a decimal.
Now divide the numerator and denominator.
Thus the fraction \(\frac{1}{3}\) as the decimal form is 0.333…
3. What is \(\frac{5}{8}\) in a decimal?
Given the fraction \(\frac{5}{8}\)
We have to convert the fraction as a decimal.
Now divide the numerator and denominator.
Thus the fraction \(\frac{5}{8}\) as the decimal form is 0.625