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

You are watching: Convert 5/8 to decimal

Once you obtain the concepts in place, you will likewise learn just how to deal with the exercise interactive questions at the finish of this lesson.

Check-out the interaction simulations to know an ext about the great and shot your hand at solving a couple of interesting practice questions in ~ the end of the page.

Lesson Plan


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

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

It have the right to be representedthrough the below-given diagram:

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To convert the fraction\( \dfrac58 \) as a decimal number we use the complying with 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 department is brought subsequently, which provides the calculation of \( \dfrac58 \) as a decimal.

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

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


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


5/8 as a Decimal Number

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

The portion \( \dfrac58 \) as a decimal rounded to 2 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 have the right to be convert from decimal to fraction in the following way:

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\( \frac58 \) as Percent

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

\( \dfrac58 \times 100\)

The worth of fraction can be written as \( \dfrac5008\)

The fraction \( \dfrac5008 \) is streamlined as \( \dfrac1252 \) which can additional be convert to a decimal.

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


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Tips and also Tricks

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


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

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

Method 1:Multiplying the portion directly through 100

The portion \( \dfrac58 \) is straight multiplied through 100, which provides 62.5%

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

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

On multiply the converted value to 100 we get,

\( 0.625 \times 100 = 62.5%\)


Solved Examples

Example 1

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

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Solution

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

Five-eighth together a decimal allude is 0.625

To find the percent of pizza spend by each one of them, main point the decimal worth to 100

The obtained value is 62.5%

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

Example 2

Claire witnessed somestatistical data that read that85 the end of 136 civilization prefer being awake at night than waking up early. Assist her find the portion of people who favor waking up early on in morning.

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Solution

85 the end of 136 peopleprefer gift awake in ~ night. This reflects the fraction \( \dfrac58\) prefersbeing awake in ~ night.

The percent of civilization who favor being awake at night is given as,

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

The portion of world who choose waking up at an early stage is provided as,

\(100- 62.5= 37.5\)

\(\therefore\) 37.5% world prefer waking up early in morning.
Example 3

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

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

Solution

Valerie will deal with the inquiries in the complying with way:

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

\( \dfrac58 \) can 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 ends in 5 it s okay rounded turn off to next greater number.

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

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

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

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

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

1.0.63

2. 63%


Interactive Questions

Here space a couple of activities for you come practice.

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


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Let's Summarize

We expect you took pleasure in learning about ⅝ together a decimalwith thepractice questions. Now, friend will have the ability to easily solve problems on decimal to fraction.

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Frequently Asked questions (FAQs)


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


\( \dfrac920 \) as decimal is 0.45