# 1/4 As A Decimal

1/4 As A Decimal
Go back to  'Decimals'

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

 1 What is 1/4 as a Decimal? 2 Important Notes on 1/4 as a Decimal? 3 Think Out of Box! 4 Solved Examples on 1/4 as a Decimal 5 Interactive Questions on 1/4 as a Decimal

## 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

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
1. Decimals are used to represent fractions which have value less than 1
2. Visualization of 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.

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

 $$\therefore$$Decimal form of $$\dfrac{3}{8}$$ is 0.375

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.

## 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.

At Cuemath, our team of math experts is dedicated to making learning fun for our favorite readers, the students!

Through an interactive and engaging learning-teaching-learning approach, the teachers explore all angles of a topic.

Be it worksheets, online classes, doubt sessions, or any other form of relation, it’s the logical thinking and smart learning approach that we, at Cuemath, believe in.

## 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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