1 4 In A Decimal

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

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

This section focuses on representing \( \frac{i}{four} \) as a decimal forth with some interactive examples and questions on the representation of \( \frac{three}{8} \) equally a decimal, \( \frac{2}{3} \) as a decimal, and decimal to fraction conversion. Do not forget to try do questions at the end of the page for a quick fun revision.

Lesson Plan

What is i/4 as a Decimal?

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

The decimal class of \(\dfrac{1}{4}\,\) is 0.25

Let's come across how to get that.

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How to change ¼ equally a decimal

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

To get the decimal form of \(\dfrac{ane}{iv}\,\), different methods can be used.

Method 1

In this method, nosotros use long division.

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

So,

\(\dfrac{ane}{four}=0.25.....\text{Decimal form}\)

Nosotros tin use this method for converting any fraction to decimal course.

Method 2

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

The start ability of 10 is x which is non a multiple of 4. So, let'south look at the second multiple, 100, which is a multiple of 4

In the fraction \(\dfrac{1}{4}\), denominator = 4

\begin{align} \dfrac{1}{4}&=\dfrac{1\times 25}{4\times 25}\\&=\dfrac{25}{100}\end{align}

Now, observe that at that place are two zeros in the denominator.

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

\(\dfrac{1}{4}=0.25\)

Similarly, if we have the fraction \(\dfrac{three}{viii}\), nosotros tin can convert it into decimal by converting information technology into its equivalent fraction with denominator thousand

\begin{align} \dfrac{3}{viii}&=\dfrac{3\times 125}{viii\times 125}\\&=\dfrac{375}{m}\\&=0.375\end{align}

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

Instance: Have 0.65. At that place are two digits after the decimal.

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

1. Decimals are used to represent fractions which have value less than 1
2. Visualization of 0.25 on a number line:

Solved Examples

Harry is struggling to express \(\dfrac{ii}{3}\,\) every bit decimal. Can you help him by using long partition method to convert a fraction to decimal?

Solution

Equally denominator is 3, which is not a factor of 100, we will convert \(\dfrac{2}{iii}\,\) equally a decimal past long partitioning.

The quotient is 0.6666.....= \(0.\overline{6}\cdot\cdot \)Digit six is recurring here equally the residue is going on repeating.

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

\(\therefore\dfrac{2}{iii}=0.67\)

Mia wants to express \(\dfrac{3}{8}\,\) every bit a decimal number using long division. Help her to achieve the right answer.

Solution

Mia needs to split up iii past 8 and proceed dividing till she gets the remainder 0

\(\therefore\)Decimal form of \(\dfrac{3}{eight}\) is 0.375

Detect decimal form of fractions \(\dfrac{1}{5}\) and \(\dfrac{1}{7}\). What departure did you notice in their decimal forms?

(Hint: Observe the remainders in both the cases.)

Interactive Questions

Hither are a few activities for yous to practice.

Select/Type your answer and click the "Check Answer" button to encounter the result.

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Let's Summarize

We hope you enjoyed learning about 1/4As A Decimal with the simulations and practice questions. Now, y'all will exist able to hands solve issues on three/8 every bit a decimal, 2/3 as a decimal, and decimal to fraction.

Most Cuemath

At Cuemath, our team of math experts is dedicated to making learning fun for our favorite readers, the students!

Through an interactive and engaging learning-teaching-learning approach, the teachers explore all angles of a topic.

Be information technology worksheets, online classes, doubt sessions, or whatsoever other form of relation, information technology's the logical thinking and smart learning arroyo that we, at Cuemath, believe in.

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Often Asked Questions (FAQs)

ane. What is \(\dfrac{1}{eight}\) as a decimal?

The decimal course of  \(\dfrac{ane}{8}=0.125\)

2. What is \(\dfrac{9}{20}\) as a decimal?

The decimal form of\(\,\dfrac{nine}{twenty}=0.45\)

3. How do y'all write \(\dfrac{1}{3}\) as a decimal?

\(\dfrac{1}{iii}\) can be written in decimal form as 0.333333....(never ending), which tin exist rounded off to 0.3

1 4 In A Decimal,

Source: https://www.cuemath.com/numbers/1-4-as-a-decimal/

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