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

You are watching: What is one fourth in decimal form

Let us help Sam resolve his questions in mere couple of minutes.

This section concentrates on representing ( frac14 ) together a decimal along with some interaction examples and also questions on the depiction of ( frac38 ) together a decimal, ( frac23 ) as a decimal, and also decimal to portion conversion. Perform not forget to try practice concerns at the end of the page for a fast fun revision.

## Lesson Plan

 1 What is 1/4 together a Decimal? 2 Important notes on 1/4 as a Decimal? 3 Think out of Box! 4 Solved instances on 1/4 as a Decimal 5 Interactive concerns on 1/4 as 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 molecule takes a kind that has actually a decimal in it.

The decimalform of(dfrac14,) is 0.25

Let's see how to get that.

## How to adjust ¼ together a decimal

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

To obtain the decimal form of (dfrac14,), different methods can be used.

### Method 1

In this method, us use lengthy division.

Here, numerator = 1 and also Denominator = 4. Let's divide 1 by 4 So,

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

We deserve to use this technique forconverting any fraction to decimal form.

### Method 2

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

The an initial power the 10 is 10 i beg your pardon is nota many 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 eginalign dfrac14&=dfrac1 imes 254 imes 25\&=dfrac25100endalign

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

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

(dfrac14=0.25)

Similarly, if we havethefraction(dfrac38), us can convert it into decimal by converting it into its equivalent fraction with denominator 1000

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

We can even transform a decimal to fraction. For this, we take into consideration the number of digits after ~ the decimal.

Example: take it 0.65. There space two digits after the decimal.

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

Harry is struggling to express(dfrac23,) together decimal. Have the right to you assist him by making use of long department method to transform a portion to decimal?

Solution

As denominator is 3, i m sorry is not a element of 100, we will convert(dfrac23,) as a decimal by lengthy division. The quotient is 0.6666.....= (0.overline6cdotcdot )Digit 6 is recurring here as the remainder is walk on repeating.

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

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 ( hereforedfrac23=0.67)

 Example 2

Mia wants to express(dfrac38,) as a decimal number using long division. Assist her to reach the correct answer.