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

You are watching: What is the decimal for 5/8

Once you gain the ideas in place, girlfriend will also learn exactly how to resolve the exercise interactive inquiries at the end of this lesson.

Check-out the interactive simulations come know much more about the lesson and shot your hand at fixing a few interesting exercise questions at the end of the page.

## Lesson Plan

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

The portion ( dfrac58 ) is a proper fraction, together the molecule is less than the denominator.

It can be representedthrough the below-given diagram: To transform the fraction( dfrac58 ) as a decimal number we use the following steps:

Step 1

Write the given fraction in long division format.

Here 8 is the divisor and also 5 is the dividend. Step2

The long department is lugged subsequently, which gives the output of ( dfrac58 ) as a decimal. As us see, department leaves remainder 0 providing a quotient 0.625

Hence ( dfrac58 ) together a decimal is offered as 0.625

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

### 5/8 as a Decimal Number

( dfrac58 )as a decimal pointis offered as 0.625

The fraction ( dfrac58 ) as a decimal rounded to two digits will be 0.63The decimal number 0.625 lies between 0.62 and also 0.63 The fraction( dfrac58 ) together a decimal number is 0.625 which deserve to be converted from decimal to fraction in the following way: ### ( frac58 ) together Percent

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

( dfrac58 imes 100)

The worth of fraction can be composed as ( dfrac5008)

The portion ( dfrac5008 ) is simplified as ( dfrac1252 ) i beg your pardon can additional be convert to a decimal. The fraction ( dfrac58 ) can be written as 62.5% Tips and Tricks

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

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

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

### Method 1:Multiplying the fraction directly by 100

The fraction ( dfrac58 ) is straight multiplied through 100, which gives 62.5%

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

The fraction( dfrac58 ) is converted to decimal which provides the worth 0.625

On multiply the converted worth to 100 we get,

( 0.625 imes 100 = 62.5%)

## Solved Examples

 Example 1

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

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

Five-eighth together a decimal suggest is 0.625

To discover the portion of pizza consumed by each among them, multiply the decimal worth to 100

The derived value is 62.5%

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

 Example 2

Claire observed somestatistical data that check out that85 the end of 136 world prefer being awake at night than waking increase early. Assist her discover the percent of human being who prefer waking up early on in morning. Solution

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

The portion of civilization who prefer being awake in ~ night is given as,

( dfrac58 imes 100 = 62.5%)

The percent of human being who favor waking up early on is offered as,

(100- 62.5= 37.5)

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

What will certainly Valerie give the prize for listed below given questions?

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

Solution

Valerie will deal with the questions in the following way:

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

( dfrac58 ) can be written as a decimal together 0.625 Valerie to know 0.625 lies in between 0.62 and 0.63.Any decimal number which end in 5 it s okay rounded turn off to next greater number.

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

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

The fraction( dfrac58) as a decimal allude expressed in percentage is given as 62.5%

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

 ( herefore) The answers provided by Valerie will be:1.0.632. 63%

## Interactive Questions

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

Select/Type her answer and click the "Check Answer" switch to watch the result. ## Let's Summarize

We hope you took pleasure in learning around ⅝ as a decimalwith thepractice questions. Now, girlfriend will be able to easily solve problems on decimal to fraction.

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