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

You are watching: Decimal equivalent of 5/8

Once you gain the ideas in place, girlfriend will likewise learn exactly how to fix the practice interactive inquiries at the end of this lesson.

Check-out the interactive simulations to know an ext about the great and shot your hand at addressing a couple of interesting exercise questions in ~ the finish of the page.

Lesson Plan


1.How To compose 5/8 together 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 questions on 5/8 as a Decimal

The portion ( dfrac58 ) is a proper fraction, together 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 ) as a decimal number we use the adhering to steps:

Step 1

Write the given portion 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 ) as a decimal.

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As we see, department leaves remainder 0 offering a quotient 0.625

Hence ( dfrac58 ) together a decimal is given as 0.625


What is ( frac58 ) together a Decimal and also Percent?


5/8 together a Decimal Number

( dfrac58 )as a decimal pointis offered as 0.625

The fraction ( 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 ) as a decimal number is 0.625 which can be converted from decimal to fraction in the following way:

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( frac58 ) together Percent

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

( dfrac58 imes 100)

The value of portion can be composed as ( dfrac5008)

The fraction ( dfrac5008 ) is simplified as ( dfrac1252 ) i m sorry can additional be convert to a decimal.

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


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Tips and also Tricks

How do You Make( frac58 ) into a Percent?


The portion ( dfrac58 ) deserve to be expressed 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 fraction directly by 100

The fraction ( dfrac58 ) is directly multiplied by 100, which gives 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 gives the worth 0.625

On multiplying the converted worth to 100 us get,

( 0.625 imes 100 = 62.5%)


Solved Examples

Example 1

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

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Solution

Each one of them can eat just five-eighth of your pizzas.

Five-eighth together a decimal suggest is 0.625

To discover the percentage of pizza spend by each among them, multiply the decimal value to 100

The derived value is 62.5%

( herefore) Each one of them ate just 62.5% of your pizza.

Example 2

Claire experienced somestatistical data that check out that85 the end of 136 people prefer gift awake in ~ night than waking increase early. Assist her uncover the percentage of people who favor waking up at an early stage in morning.

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Solution

85 out of 136 peopleprefer being awake at night. This shows the fraction ( dfrac58) prefersbeing awake in ~ night.

The portion of people who favor being awake in ~ night is provided as,

( dfrac58 imes 100 = 62.5%)

The percentage of world who choose waking up at an early stage is given as,

(100- 62.5= 37.5)

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

What will Valerie provide the answer for below given questions?

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

Solution

Valerie will resolve the concerns in the complying with way:

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

( dfrac58 ) can be composed as a decimal as 0.625

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

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

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

The fraction( dfrac58) together a decimal allude expressed in portion is provided as 62.5%

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

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

1.0.63

2. 63%


Interactive Questions

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

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


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Let's Summarize

We expect you delighted in learning around ⅝ as a decimalwith thepractice questions. Now, girlfriend will be able to easily solve troubles on decimal come fraction.

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Frequently Asked questions (FAQs)


1. What is ( dfrac920 ) together a decimal?


( dfrac920 ) together decimal is 0.45