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

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

Let us help Sam resolve his query in mere few minutes.

This section focuses on representing ( frac{1}{4} ) as a decimal along with some interactive examples and questions on the representation of ( frac{3}{8} ) as a decimal, ( frac{2}{3} ) as a decimal, and decimal to fraction conversion. Do not forget to try practice questions at the end of the page for a quick fun revision.

**Lesson Plan**

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

2. | Important Notes on 1/4 as a Decimal? |

3. | Think Out of Box! |

4. | Solved Examples on 1/4 as a Decimal |

5. | Interactive Questions on 1/4 as a Decimal |

## What is 1/4 as a Decimal?

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

The decimalform of(dfrac{1}{4},) is 0.25

Let's see how to get that.

**How to change ¼ as a decimal**

The fraction(dfrac{1}{4},)can be converted to a form with denomiator 1 by finding its decimal form.

To get the decimal form of (dfrac{1}{4},), different methods can be used.

**Method 1**

In this method, we use long division.

Here, Numerator = 1 and Denominator = 4. Let's divide 1 by 4

So,

(dfrac{1}{4}=0.25….. ext{Decimal form})

We can use this method forconverting any fraction to decimal form.

**Method 2**

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

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

In thefraction(dfrac{1}{4}), denominator = 4

egin{align} dfrac{1}{4}&=dfrac{1 imes 25}{4 imes 25}\&=dfrac{25}{100}end{align}

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

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

(dfrac{1}{4}=0.25)

Similarly, if we havethefraction(dfrac{3}{8}), we can convert it into decimal by converting it into its equivalent fraction with denominator 1000

egin{align} dfrac{3}{8}&=dfrac{3 imes 125}{8 imes 125}\&=dfrac{375}{1000}\&=0.375end{align}

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

Example: Take 0.65. There are two digits after the decimal.

egin{align} 0.65&=dfrac{65}{100}\&=dfrac{13}{20}end{align}

Example 1 |

Harry is struggling to express(dfrac{2}{3},) as decimal. Can you help him by using long division method to convert a fraction to decimal?

**Solution**

As denominator is 3, which is not a factor of 100, we will convert(dfrac{2}{3},) as a decimal by long division.

The quotient is 0.6666…..= (0.overline{6}cdotcdot )Digit 6 is recurring here as the remainder is going on repeating.

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

See more: There'S A World Record For The Longest Pee Distance In History?

( hereforedfrac{2}{3}=0.67) |

Example 2 |

Mia wants to express(dfrac{3}{8},) as a decimal number using long division. Help her to reach the correct answer.

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