Four friends, Rocky, Rooney, David, and Sam separated a donut equally amongst themselves. Sam asked, "What section of the donut execute I have?" Rocky replied, " One fourth." Sam request again, "Is it possible to write it in a form that has actually denominator 1?".

You are watching: Write 1 4 as a decimal

Let us assist Sam resolve his ask in mere few minutes.

This section focuses on representing ( frac14 ) as a decimal together with some interactive examples and questions on the representation of ( frac38 ) as a decimal, ( frac23 ) together a decimal, and also decimal to fraction conversion. Do not forget to shot practice inquiries at the end of the web page for a quick fun revision.

## Lesson Plan

 1 What is 1/4 together a Decimal? 2 Important note on 1/4 together a Decimal? 3 Think out of Box! 4 Solved examples on 1/4 as a Decimal 5 Interactive questions on 1/4 together a Decimal

## What is 1/4 as a Decimal?

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

The decimalform of(dfrac14,) is 0.25

Let's see just how to acquire that.

## How to readjust ¼ together a decimal

The fraction(dfrac14,)can be converted to a kind with denomiator 1 by detect its decimal form.

To acquire the decimal kind of (dfrac14,), various methods deserve to be used.

### Method 1

In this method, us use lengthy division.

Here, numerator = 1 and Denominator = 4. Let's division 1 through 4 So,

(dfrac14=0.25..... extDecimal form)

We can use this method forconverting any portion to decimal form.

### Method 2

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

The an initial power the 10 is 10 which is nota multiple of 4. So, let's look at the 2nd multiple, 100, which is a lot of of 4

In thefraction(dfrac14), denominator = 4 eginalign dfrac14&=dfrac1 imes 254 imes 25\&=dfrac25100endalign

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

So, there will be 2 digits after ~ decimal in the numerator.

(dfrac14=0.25)

Similarly, if we havethefraction(dfrac38), we can transform it into decimal by converting it into its equivalent portion with denominator 1000

eginalign dfrac38&=dfrac3 imes 1258 imes 125\&=dfrac3751000\&=0.375endalign

We can even transform a decimal come fraction. Because that this, we think about the number of digits after ~ the decimal.

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

eginalign 0.65&=dfrac65100\&=dfrac1320endalign  Example 1

Harry is struggling come express(dfrac23,) together decimal. Can you help him by utilizing 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.overline6cdotcdot )Digit 6 is recurring here as the remainder is going on repeating.

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

See more: Why Are Valence Electrons Used In Chemical Bonding, 4: Valence Electrons And Bonding

 ( hereforedfrac23=0.67)

 Example 2

Mia desires to express(dfrac38,) as a decimal number using lengthy division. Assist her to with the exactly answer.