Four friends, Rocky, Rooney, David, and Sam separated a donut equally among themselves. Sam asked, "What section of the donut execute 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: 1/4 in decimal form

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

This section concentrates on representing \( \frac14 \) as a decimal in addition to some interactive examples and also questions top top the representation of \( \frac38 \) as a decimal, \( \frac23 \) as a decimal, and decimal to fraction conversion. Carry out not forget to shot practice inquiries at the end of the web page for a rapid fun revision.

Lesson Plan

1.What is 1/4 together a Decimal?
2.Important notes on 1/4 together a Decimal?
3.Think the end of Box!
4.Solved instances on 1/4 as a Decimal
5.Interactive inquiries on 1/4 together 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. For this reason the molecule takes a type that has actually a decimal in it.

The decimalform of\(\dfrac14\,\) is 0.25

Let's see exactly how to gain that.

How to readjust ¼ as a decimal

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

To obtain the decimal form of \(\dfrac14\,\), different methods have the right to be used.

Method 1

In this method, we use lengthy division.

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



\(\dfrac14=0.25.....\textDecimal form\)

We have the right to use this method forconverting any portion to decimal form.

Method 2

The other method is to convert the portion into that is equivalent fraction with denominator together a power of 10

The first power the 10 is 10 i beg your pardon is nota multiple of 4. So, let's look at the second multiple, 100, which is a multiple of 4

In thefraction\(\dfrac14\), denominator = 4


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

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

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


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

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

We can even convert a decimal come fraction. For this, we consider the variety of digits after the decimal.

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

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



Example 1

Harry is struggling come express\(\dfrac23\,\) together decimal. Have the right to you assist him by utilizing long division method to convert a portion to decimal?


As denominator is 3, i beg your pardon is no a element of 100, we will certainly convert\(\dfrac23\,\) as a decimal by long division.


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

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

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Example 2

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