In this section, you will certainly learn exactly how to transform fractions into decimals, with ( dfrac58 ) as an example.

You are watching: 5/8 in a decimal

Once you get the concepts in place, you will also learn exactly how to deal with the practice interactive inquiries at the end of this lesson.

Check-out the interactive simulations to know more about the class and try your hand at solving a couple of interesting practice questions in ~ the finish of the page.

Lesson Plan


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

The portion ( dfrac58 ) is a appropriate fraction, as the numerator is less than the denominator.

It deserve to be representedthrough the below-given diagram:

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To transform the fraction( dfrac58 ) together a decimal number we usage the complying with steps:

Step 1

Write the given fraction in long department format.

Here 8 is the divisor and 5 is the dividend.

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Step2

The long department is carried subsequently, which offers the calculation of ( dfrac58 ) together a decimal.

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As us see, department leaves remainder 0 giving a quotient 0.625

Hence ( dfrac58 ) together a decimal is offered as 0.625


What is ( frac58 ) as a Decimal and Percent?


5/8 as a Decimal Number

( dfrac58 )as a decimal pointis given as 0.625

The portion ( dfrac58 ) as a decimal rounded to two digits will certainly be 0.63The decimal number 0.625 lies in between 0.62 and 0.63

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

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( frac58 ) together Percent

To write any portion as percent, simply multiply the portion by 100

( dfrac58 imes 100)

The worth of portion can be composed as ( dfrac5008)

The portion ( dfrac5008 ) is streamlined as ( dfrac1252 ) i beg your pardon can more be converted to a decimal.

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The fraction ( dfrac58 ) deserve to be created as 62.5%


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Tips and Tricks

How do You Make( frac58 ) right into a Percent?


The fraction ( dfrac58 ) can be expressed right into percent in 2 ways:

Method 1: multiply the portion 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 fraction ( dfrac58 ) is straight multiplied by 100, which provides 62.5%

Method 2:Converting the fraction to a decimal number and also then multiply it through 100

The fraction( dfrac58 ) is convert to decimal which provides the value 0.625

On multiply the converted value to 100 we get,

( 0.625 imes 100 = 62.5%)


Solved Examples

Example 1

Jenny, Kaley, Penny and also Amy notified 1pizzafor themselves each. If every one might eat only five-eighth of your pizzas, what is the percentage of pizza spend by each?

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Solution

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

Five-eighth together a decimal suggest is 0.625

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

The derived value is 62.5%

( herefore) Each among them ate only 62.5% of their pizza.

Example 2

Claire witnessed somestatistical data that review that85 the end of 136 world prefer being awake at night than waking increase early. Aid her uncover the percent of world who like waking up early in morning.

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Solution

85 out of 136 peopleprefer gift awake in ~ night. This mirrors the portion ( dfrac58) prefersbeing awake in ~ night.

The percent of world who prefer being awake in ~ night is given as,

( dfrac58 imes 100 = 62.5%)

The percent of civilization who prefer waking up early on is offered as,

(100- 62.5= 37.5)

( herefore) 37.5% world prefer waking up at an early stage in morning.
Example 3

What will Valerie offer the price for listed below given questions?

( dfrac58 ) together a decimalrounded off to two decimal places.( dfrac58 ) as a decimal allude expressed in percentage and also its nearest rounded turn off value.

Solution

Valerie will deal with the inquiries in the adhering to way:

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

( dfrac58 ) have the right to be composed as a decimal as 0.625

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Valerie to know 0.625 lies in between 0.62 and also 0.63.Any decimal number which ends in 5 it s okay rounded off to next greater number.

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

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

The fraction( dfrac58) together a decimal suggest expressed in percent is given as 62.5%

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

( herefore) The answers given by Valerie will certainly be:

1.0.63

2. 63%


Interactive Questions

Here room a couple of activities for you to practice.

Select/Type her answer and also click the "Check Answer" switch to check out the result.


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Let's Summarize

We expect you enjoyed learning about ⅝ as a decimalwith thepractice questions. Now, girlfriend will have the ability to easily solve troubles on decimal to fraction.

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Frequently Asked questions (FAQs)


1. What is ( dfrac920 ) together a decimal?


( dfrac920 ) together decimal is 0.45