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

You are watching: What is 1 over 4 as a decimal

Let us aid Sam solve his questions in mere few minutes.

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

Lesson Plan


1.What is 1/4 as 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 as a Decimal?


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

The decimalform of(dfrac14,) is 0.25

Let's see exactly how to acquire that.


How to change ¼ as a decimal


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

To gain the decimal form of (dfrac14,), various methods can be used.

Method 1

In this method, we use long division.

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

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So,

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

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

Method 2

The other technique is to transform the portion into its equivalent portion with denominator as a power of 10

The very first power that 10 is 10 i m sorry is nota multiple of 4. So, let's look in ~ the 2nd multiple, 100, i m sorry is a multiple of 4

In thefraction(dfrac14), denominator = 4

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eginalign dfrac14&=dfrac1 imes 254 imes 25\&=dfrac25100endalign

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

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

(dfrac14=0.25)

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

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

We deserve to even convert a decimal come fraction. Because that this, we take into consideration the variety of digits after ~ the decimal.

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

eginalign 0.65&=dfrac65100\&=dfrac1320endalign


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Example 1

Harry is struggling come express(dfrac23,) together decimal. Deserve to you aid him by utilizing long department method to transform a fraction to decimal?

Solution

As denominator is 3, i m sorry is no a variable of 100, we will convert(dfrac23,) as a decimal by long division.

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The quotient is 0.6666.....= (0.overline6cdotcdot )Digit 6 is recurring right here as the remainder is walking on repeating.

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

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( hereforedfrac23=0.67)

Example 2

Mia desires to express(dfrac38,) as a decimal number using long division. Aid her to with the correct answer.