In this section, you will learn exactly how to transform fractions into decimals, v \( \dfrac58 \) together an example.

You are watching: What is the decimal equivalent of 5 8

Once you gain the concepts in place, girlfriend will additionally learn how to deal with the practice interactive questions at the finish of this lesson.

Check-out the interactive simulations to know much more about the lesson and shot your hand at addressing a couple of interesting practice questions at the finish of the page.

Lesson Plan


1.How To write 5/8 as a Decimal?
2.Tips and Tricks
3.Solved examples on 5/8 together a Decimal
4.Interactive inquiries on 5/8 together a Decimal
5.Challenging inquiries on 5/8 together a Decimal

The portion \( \dfrac58 \) is a ideal fraction, as the molecule is less than the denominator.

It deserve to be representedthrough the below-given diagram:

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To convert the fraction\( \dfrac58 \) as a decimal number we usage the adhering to steps:

Step 1

Write the given fraction in long division format.

Here 8 is the divisor and 5 is the dividend.

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Step2

The long division is lugged subsequently, which provides the output of \( \dfrac58 \) together a decimal.

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As we see, division leaves remainder 0 providing a quotient 0.625

Hence \( \dfrac58 \) as a decimal is given as 0.625


What is \( \frac58 \) as a Decimal and also Percent?


5/8 as a Decimal Number

\( \dfrac58 \)as a decimal pointis offered as 0.625

The fraction \( \dfrac58 \) together a decimal rounded to 2 digits will be 0.63The decimal number 0.625 lies in between 0.62 and also 0.63

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The fraction\( \dfrac58 \) together a decimal number is 0.625 which have the right to be converted from decimal to fraction in the following way:

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\( \frac58 \) as Percent

To create any portion as percent, just multiply the fraction by 100

\( \dfrac58 \times 100\)

The value of fraction can be created as \( \dfrac5008\)

The fraction \( \dfrac5008 \) is streamlined as \( \dfrac1252 \) i beg your pardon can further be convert to a decimal.

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The portion \( \dfrac58 \) can be created as 62.5%


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Tips and Tricks

How perform You Make\( \frac58 \) into a Percent?


The fraction \( \dfrac58 \) deserve to be expressed right into percent in 2 ways:

Method 1: multiply the fraction directly through 100Method 2: convert the fraction to a decimal number and also then multiplying it by 100

Method 1:Multiplying the portion directly through 100

The portion \( \dfrac58 \) is directly multiplied by 100, which provides 62.5%

Method 2:Converting the portion to a decimal number and also then multiply it by 100

The fraction\( \dfrac58 \) is converted to decimal which gives the value 0.625

On multiply the converted worth to 100 we get,

\( 0.625 \times 100 = 62.5%\)


Solved Examples

Example 1

Jenny, Kaley, Penny and also Amy ordered 1pizzafor themselves each. If every one can eat just five-eighth of your pizzas, what is the portion of pizza consumed by each?

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Solution

Each among them could eat only five-eighth of your pizzas.

Five-eighth as a decimal allude is 0.625

To find the percentage of pizza consumed by each one of them, main point the decimal value to 100

The obtained value is 62.5%

\(\therefore\) Each among them ate just 62.5% of their pizza.

Example 2

Claire observed somestatistical data that read that85 the end of 136 civilization prefer being awake at night 보다 waking up early. Help her uncover the percentage of civilization who like waking up at an early stage in morning.

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Solution

85 the end of 136 peopleprefer being awake in ~ night. This shows the portion \( \dfrac58\) prefersbeing awake in ~ night.

The percent of world who favor being awake at night is provided as,

\( \dfrac58 \times 100 = 62.5%\)

The percent of human being who like waking up early on is given as,

\(100- 62.5= 37.5\)

\(\therefore\) 37.5% human being prefer waking up beforehand in morning.
Example 3

What will Valerie provide the prize for below given questions?

\( \dfrac58 \) together a decimalrounded turn off to 2 decimal places.\( \dfrac58 \) together a decimal point expressed in percentage and its nearest rounded turn off value.

Solution

Valerie will fix the questions in the following way:

\( \dfrac58 \) as a decimal rounded off to 2 decimal places:

\( \dfrac58 \) deserve to be written as a decimal as 0.625

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Valerie knows 0.625 lies between 0.62 and also 0.63.Any decimal number which ends in 5 gets rounded off to next higher number.

\( \dfrac58\) as a decimal rounded turn off to 2 decimal places offers value 0.63

Part 2: \( \dfrac58\) together a decimal point expressed in percentage and also its nearest rounded turn off value.

The fraction\( \dfrac58\) together a decimal allude expressed in percentage is offered as 62.5%

To round turn off this worth to the nearest value, the value is rounded off to 63%, due to the visibility of 5 in the end.

\(\therefore\) The answers offered by Valerie will be:

1.0.63

2. 63%


Interactive Questions

Here room a couple of activities for you come practice.

Select/Type her answer and click the "Check Answer" switch to watch the result.


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Let's Summarize

We expect you took pleasure in learning around ⅝ as a decimalwith thepractice questions. Now, you will have the ability to easily solve troubles on decimal to fraction.

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Frequently Asked inquiries (FAQs)


1. What is \( \dfrac920 \) as a decimal?


\( \dfrac920 \) as decimal is 0.45