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.