1/4 As A Decimal

1/4 As A Decimal
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Four friends, Rocky, Rooney, David, and Sam divided a donut equally among themselves. Sam asked, "What portion of the donut do I have?" Rocky replied, " One fourth." Sam asked again, "Is it possible to write it in a form that has denominator 1?".

Let us help Sam resolve his query in mere few minutes. 

This section focuses on representing \( \frac{1}{4} \) as a decimal along with some interactive examples and questions on the representation of \( \frac{3}{8} \) as a decimal, \( \frac{2}{3} \) as a decimal, and decimal to fraction conversion. Do not forget to try practice questions at the end of the page for a quick fun revision.

Lesson Plan

What is 1/4 as a Decimal?

When we convert a fraction into decimal form, we convert it into a number that has denominator 1. So the numerator takes a form that has a decimal in it.

The decimal form of \(\dfrac{1}{4}\,\) is 0.25

Let's see how to get that.


How to change ¼ as a decimal

The fraction \(\dfrac{1}{4}\,\)can be converted to a form with denomiator 1 by finding its decimal form.

To get the decimal form of \(\dfrac{1}{4}\,\), different methods can be used.

Method 1

In this method, we use long division.

Here, Numerator = 1 and Denominator = 4. Let's divide 1 by 4

1/4 to decimal

So,

\(\dfrac{1}{4}=0.25.....\text{Decimal form}\)

We can use this method for converting any fraction to decimal form.

Method 2

The other method is to convert the fraction into its equivalent fraction with denominator as a power of 10

The first power of 10 is 10 which is not a multiple of 4. So, let's look at the second multiple, 100, which is a multiple of 4

In the fraction \(\dfrac{1}{4}\), denominator = 4

\begin{align} \dfrac{1}{4}&=\dfrac{1\times 25}{4\times 25}\\&=\dfrac{25}{100}\end{align}

Now, observe that there are 2 zeros in the denominator.

So, there will be two digits after decimal in the numerator.

\(\dfrac{1}{4}=0.25\)

Similarly, if we have the fraction \(\dfrac{3}{8}\), we can convert it into decimal by converting it into its equivalent fraction with denominator 1000

\begin{align} \dfrac{3}{8}&=\dfrac{3\times 125}{8\times 125}\\&=\dfrac{375}{1000}\\&=0.375\end{align}

We can even convert a decimal to fraction. For this, we consider the number of digits after the decimal.

Example: Take 0.65. There are two digits after the decimal.

\begin{align} 0.65&= \dfrac{65}{100}\\&=\dfrac{13}{20}\end{align}

 
important notes to remember
Important Notes
  1. Decimals are used to represent fractions which have value less than 1
  2. Visualization of 0.25 on a number line:
0.25 on a number line

Solved Examples

Example 1

 

 

Harry is struggling to express \(\dfrac{2}{3}\,\) as decimal. Can you help him by using long division method to convert a fraction to decimal?

Solution

As denominator is 3, which is not a factor of 100, we will convert \(\dfrac{2}{3}\,\) as a decimal by long division.

decimal form of 2/3

The quotient is 0.6666.....= \(0.\overline{6}\cdot\cdot \)Digit 6 is recurring here as the remainder is going on repeating.

So, we round off 0.6666..... to 0.67 (rounding off upto 2 decimal places).

\(\therefore\dfrac{2}{3}=0.67\)
Example 2

 

 

Mia wants to express \(\dfrac{3}{8}\,\) as a decimal number using long division. Help her to reach the correct answer.

Solution

Mia needs to divide 3 by 8 and continue dividing till she gets the remainder 0

decimal form of 3/8

\(\therefore\)Decimal form of \(\dfrac{3}{8}\) is 0.375
 
Thinking out of the box
Think Tank

Find decimal form of fractions \(\dfrac{1}{5}\) and \(\dfrac{1}{7}\). What difference did you notice in their decimal forms?

(Hint: Observe the remainders in both the cases.)

Interactive Questions

Here are a few activities for you to practice.

Select/Type your answer and click the "Check Answer" button to see the result.

 

 
 
 
 

Let's Summarize

We hope you enjoyed learning about 1/4 As A Decimal with the simulations and practice questions. Now, you will be able to easily solve problems on 3/8 as a decimal, 2/3 as a decimal, and decimal to fraction.

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Frequently Asked Questions (FAQs)

1. What is \(\dfrac{1}{8}\) as a decimal?      

The decimal form of  \(\dfrac{1}{8}=0.125\) 

2. What is \(\dfrac{9}{20}\) as a decimal? 

The decimal form of\(\,\dfrac{9}{20}=0.45\)

3. How do you write \(\dfrac{1}{3}\) as a decimal?

\(\dfrac{1}{3}\) can be written in decimal form as 0.333333....(never ending), which can be rounded off to 0.3

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