Four friends, Rocky, Rooney, David, and also Sam split 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 compose it in a type that has actually denominator 1?".

You are watching: Whats 1/4 as a decimal

Let us help Sam solve his ask in mere couple of minutes.

This section focuses on representing $$\frac14$$ together a decimal in addition to some interaction examples and also questions on the representation of $$\frac38$$ as a decimal, $$\frac23$$ as a decimal, and also decimal to fraction conversion. Carry out not forget to try practice questions at the finish of the page for a rapid fun revision.

## Lesson Plan

 1 What is 1/4 together a Decimal? 2 Important notes on 1/4 as a Decimal? 3 Think the end of Box! 4 Solved examples on 1/4 together a Decimal 5 Interactive inquiries on 1/4 as a Decimal

## What is 1/4 together a Decimal?

When we convert a portion into decimal form, we transform it into a number that has denominator 1. Therefore the molecule takes a kind that has actually a decimal in it.

The decimalform of$$\dfrac14\,$$ is 0.25

Let's see exactly how to gain that.

## How to adjust ¼ together a decimal

The fraction$$\dfrac14\,$$can be convert to a form with denomiator 1 by detect its decimal form.

To acquire the decimal form of $$\dfrac14\,$$, various methods have the right to be used.

### Method 1

In this method, we use lengthy division.

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

So,

$$\dfrac14=0.25.....\textDecimal form$$

We can use this an approach forconverting any fraction to decimal form.

### Method 2

The other method is to transform the portion into the equivalent portion with denominator together a strength of 10

The first power that 10 is 10 which is nota lot of of 4. So, let's look at the second multiple, 100, i m sorry is a lot of of 4

In thefraction$$\dfrac14$$, denominator = 4

\beginalign \dfrac14&=\dfrac1\times 254\times 25\\&=\dfrac25100\endalign

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

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

$$\dfrac14=0.25$$

Similarly, if us havethefraction$$\dfrac38$$, us can convert it right into decimal by converting it into its equivalent portion with denominator 1000

\beginalign \dfrac38&=\dfrac3\times 1258\times 125\\&=\dfrac3751000\\&=0.375\endalign

We have the right to even convert a decimal to fraction. For this, we consider the variety of digits ~ the decimal.

Example: take 0.65. There room two digits after the decimal.

\beginalign 0.65&=\dfrac65100\\&=\dfrac1320\endalign

 Example 1

Harry is struggling come express$$\dfrac23\,$$ together decimal. Deserve to you help him by using long department method to convert a fraction to decimal?

Solution

As denominator is 3, which is no a aspect of 100, we will certainly convert$$\dfrac23\,$$ as a decimal by lengthy division.

The quotient is 0.6666.....= $$0.\overline6\cdot\cdot$$Digit 6 is recurring right here as the remainder is walking on repeating.

So, us round turn off 0.6666..... To 0.67 (rounding off upto 2 decimal places).

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 $$\therefore\dfrac23=0.67$$

 Example 2

Mia wants to express$$\dfrac38\,$$ as a decimal number using lengthy division. Help her to with the exactly answer.