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

You are watching: How to convert 5/8 into a decimal

Once you acquire the concepts in place, girlfriend will likewise learn just how to solve the practice interactive questions at the end of this lesson.

Check-out the interactive simulations to know much more about the class and shot your hand at fixing a few 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 as a Decimal
4.Interactive questions on 5/8 as a Decimal
5.Challenging questions on 5/8 together a Decimal

The portion ( dfrac58 ) is a appropriate fraction, together the numerator is much 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 use 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 brought subsequently, which offers the calculation of ( dfrac58 ) as a decimal.

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

Hence ( dfrac58 ) as a decimal is given as 0.625


What is ( frac58 ) together a Decimal and Percent?


5/8 together a Decimal Number

( dfrac58 )as a decimal pointis given 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 deserve to be convert from decimal to portion in the complying with way:

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( frac58 ) as Percent

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

( dfrac58 imes 100)

The worth of portion can be written as ( dfrac5008)

The fraction ( dfrac5008 ) is streamlined as ( dfrac1252 ) which can more be converted to a decimal.

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The portion ( dfrac58 ) have the right to be composed as 62.5%


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Tips and Tricks

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


The fraction ( dfrac58 ) have the right to be expressed into percent in two ways:

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

Method 1:Multiplying the fraction directly through 100

The portion ( 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 converted to decimal which provides the value 0.625

On multiplying the converted worth to 100 we get,

( 0.625 imes 100 = 62.5%)


Solved Examples

Example 1

Jenny, Kaley, Penny and Amy ordered 1pizzafor us each. If each one might eat only five-eighth of your pizzas, what is the percentage of pizza consumed by each?

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Solution

Each among them can eat just five-eighth of their pizzas.

Five-eighth together a decimal allude is 0.625

To uncover the percent of pizza spend by each one of them, multiply the decimal worth to 100

The acquired value is 62.5%

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

Example 2

Claire saw somestatistical data that review that85 out of 136 human being prefer being awake in ~ night 보다 waking up early. Aid her uncover the percentage of world who favor waking up early on in morning.

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Solution

85 out of 136 peopleprefer being awake at night. This mirrors the portion ( dfrac58) prefersbeing awake at night.

The percent of world who like being awake at night is given as,

( dfrac58 imes 100 = 62.5%)

The portion of world who favor waking up beforehand is given as,

(100- 62.5= 37.5)

( herefore) 37.5% civilization prefer waking up early on in morning.
Example 3

What will Valerie offer the price for below given questions?

( dfrac58 ) as a decimalrounded off to 2 decimal places.( dfrac58 ) as a decimal allude expressed in percentage and also its nearest rounded off value.

Solution

Valerie will settle the concerns in the complying with way:

( dfrac58 ) together a decimal rounded off to two decimal places:

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

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Valerie to know 0.625 lies between 0.62 and 0.63.Any decimal number which end in 5 gets rounded turn off to next higher number.

( dfrac58) together a decimal rounded turn off to two decimal places provides value 0.63

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

The fraction( dfrac58) together a decimal point expressed in portion is given as 62.5%

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

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

1.0.63

2. 63%


Interactive Questions

Here room a couple of activities because that you to practice.

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


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Let's Summarize

We hope you took pleasure in learning about ⅝ together a decimalwith thepractice questions. Now, you will be able to easily solve difficulties on decimal come fraction.

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Frequently Asked inquiries (FAQs)


1. What is ( dfrac920 ) as a decimal?


( dfrac920 ) together decimal is 0.45