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

You are watching: What decimal is equivalent to 5/8

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

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

## Lesson Plan

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

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

It have the right to be representedthrough the below-given diagram: To convert the fraction( dfrac58 ) together a decimal number we usage the adhering to steps:

Step 1

Write the given portion in long division format.

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

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

Hence ( dfrac58 ) as a decimal is provided 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 2 digits will be 0.63The decimal number 0.625 lies in between 0.62 and 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 ) as Percent

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

( dfrac58 imes 100)

The worth of portion can be created as ( dfrac5008)

The fraction ( dfrac5008 ) is streamlined as ( dfrac1252 ) i m sorry can further be converted to a decimal. The fraction ( dfrac58 ) can be created as 62.5% Tips and also Tricks

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

The fraction ( dfrac58 ) have the right to be expressed right into percent in 2 ways:

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

### Method 1:Multiplying the portion directly through 100

The fraction ( dfrac58 ) is directly multiplied through 100, which provides 62.5%

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

The fraction( dfrac58 ) is converted to decimal which provides the worth 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 ordered 1pizzafor us each. If each one might eat only five-eighth of their pizzas, what is the percent of pizza spend by each? Solution

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

Five-eighth as a decimal allude is 0.625

To discover the portion of pizza spend by each among them, main point the decimal value to 100

The obtained value is 62.5%

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

 Example 2

Claire observed somestatistical data that review that85 out of 136 people prefer being awake at night than waking increase early. Assist her discover the percentage of people who like waking up at an early stage in morning. Solution

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

The percentage of world who choose being awake at night is given as,

( dfrac58 imes 100 = 62.5%)

The percentage of world who choose waking up beforehand is offered as,

(100- 62.5= 37.5)

 ( herefore) 37.5% world prefer waking up beforehand in morning.
 Example 3

What will certainly Valerie offer the price for listed below given questions?

( dfrac58 ) as a decimalrounded off to 2 decimal places.( dfrac58 ) together a decimal point expressed in percentage and 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 created as a decimal together 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 turn off to next greater number.

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

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

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

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

 ( herefore) The answers given by Valerie will certainly be:1.0.632. 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 view the result. ## Let's Summarize

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

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