Four friends, Rocky, Rooney, David, and Sam separated a donut equally amongst themselves. Sam asked, "What portion of the donut carry out I have?" Rocky replied, " One fourth." Sam asked again, "Is it feasible to create it in a kind that has denominator 1?".

You are watching: What is the decimal for 1/4

Let us aid Sam fix his query in mere few minutes.

This section focuses on representing \( \frac14 \) together a decimal along with some interactive examples and also questions ~ above the representation of \( \frac38 \) as a decimal, \( \frac23 \) as a decimal, and also decimal to portion conversion. Carry out not forget to shot practice concerns 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 together a Decimal?
3.Think out of Box!
4.Solved examples on 1/4 together a Decimal
5.Interactive questions 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. Therefore the numerator takes a kind that has a decimal in it.

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

Let's see how to acquire that.


How to adjust ¼ as a decimal


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

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

Method 1

In this method, us use long division.

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

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So,

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

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

Method 2

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

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

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

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

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\(\dfrac38\), us can transform it right into decimal by convert it right into its equivalent fraction with denominator 1000

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

We deserve to even transform a decimal come fraction. For this, we think about the number of digits after the decimal.

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

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


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Example 1

Harry is struggling come express\(\dfrac23\,\) as decimal. Can you help him by making use of long division method to transform a fraction to decimal?

Solution

As denominator is 3, which is not a aspect of 100, we will convert\(\dfrac23\,\) together a decimal by long division.

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

So, us round turn off 0.6666..... Come 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. Assist her to reach the correct answer.