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

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

Once you obtain 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 an ext about the great and shot your hand at solving a few interesting exercise questions in ~ the finish of the page.

## Lesson Plan

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

The fraction ( dfrac58 ) is a proper fraction, as the numerator is much less than the denominator.

It deserve to 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 department format.

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

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

Hence ( dfrac58 ) together a decimal is provided 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 portion ( dfrac58 ) together a decimal rounded to 2 digits will certainly be 0.63The decimal number 0.625 lies between 0.62 and 0.63 The fraction( dfrac58 ) as a decimal number is 0.625 which have the right to be convert from decimal to portion in the adhering to way: ### ( frac58 ) as Percent

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

( dfrac58 imes 100)

The worth of portion can be written as ( dfrac5008)

The fraction ( dfrac5008 ) is simplified as ( dfrac1252 ) which can additional be converted to a decimal. The fraction ( dfrac58 ) deserve to be composed as 62.5% Tips and Tricks

## How execute You Make( frac58 ) right into a Percent?

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

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

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

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

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

The fraction( dfrac58 ) is converted to decimal which gives the value 0.625

On multiplying the converted value to 100 us get,

( 0.625 imes 100 = 62.5%)

## Solved Examples

 Example 1

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

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

Five-eighth as a decimal allude is 0.625

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

The acquired value is 62.5%

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

 Example 2

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

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

The percentage of civilization who like being awake at night is provided as,

( dfrac58 imes 100 = 62.5%)

The percentage of civilization who favor waking up early is provided as,

(100- 62.5= 37.5)

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

What will Valerie give the prize for below given questions?

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

Solution

Valerie will settle the inquiries in the adhering to way:

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

( dfrac58 ) deserve to be written as a decimal as 0.625 Valerie knows 0.625 lies in between 0.62 and 0.63.Any decimal number which ends in 5 it s okay rounded off to next higher number.

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

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

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

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

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

## Interactive Questions

Here room a few activities for you come practice.

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

We hope you appreciated learning about ⅝ together a decimalwith thepractice questions. Now, girlfriend will have the ability to easily solve problems on decimal come fraction.

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