On this part, you’ll learn to convert fractions into decimals, with ( dfrac{5}{8} ) for instance.
When you get the ideas in place, additionally, you will learn to resolve the observe interactive questions on the finish of this lesson.
Testout the interactive simulations to know extra concerning the lesson and take a look at your hand at fixing just a few fascinating observe questions on the finish of the web page.
Lesson Plan
How To Write ( frac{5}{8} ) As a Decimal?
The fraction ( dfrac{5}{8} ) is a correct fraction, because the numerator is lower than the denominator.
It may be represented by way of the belowgiven diagram:
To transform the fraction ( dfrac{5}{8} ) as a decimal quantity we use the next steps:
Step 1
Write the given fraction in long division format.
Right here 8 is the divisor and 5 is the dividend.
Step 2
The lengthy division is carried subsequently, which supplies the output of ( dfrac{5}{8} ) as a decimal.
As we see, division leaves the rest 0 giving a quotient 0.625
Therefore ( dfrac{5}{8} ) as a decimal is given as 0.625
What’s ( frac{5}{8} ) As a Decimal and P.c?
5/8 As a Decimal Quantity
( dfrac{5}{8} ) as a decimal level is given as 0.625
The fraction ( dfrac{5}{8} ) as a decimal rounded to 2 digits shall be 0.63 The decimal quantity 0.625 lies between 0.62 and 0.63
The fraction ( dfrac{5}{8} ) as a decimal quantity is 0.625 which will be transformed from decimal to fraction within the following method:
( frac{5}{8} ) as P.c
To write down any fraction as p.c, simply multiply the fraction by 100
( dfrac{5}{8} occasions 100)
The worth of fraction will be written as ( dfrac{500}{8})
The fraction ( dfrac{500}{8} ) is simplified as ( dfrac{125}{2} ) which may additional be transformed to a decimal.
The fraction ( dfrac{5}{8} ) will be written as 62.5%
Suggestions and Methods

 Within the fraction ( dfrac{5}{8} ), the denominator is an even number. Therefore for ( dfrac{5}{8} ) as a decimal and p.c, the worth decimal would not recur giving an simply rounding p.c. This is applicable to all of the fractions with even denominators.
How Do You Make ( frac{5}{8} ) right into a P.c?
The fraction ( dfrac{5}{8} ) will be expressed into p.c in two methods:

 Methodology 1: Multiplying the fraction immediately by 100

 Methodology 2: Changing the fraction to a decimal quantity after which multiplying it by 100
Methodology 1: Multiplying the fraction immediately by 100
The fraction ( dfrac{5}{8} ) is immediately multiplied by 100, which supplies 62.5%
Methodology 2: Changing the fraction to a decimal quantity after which multiplying it by 100
The fraction ( dfrac{5}{8} ) is transformed to decimal which supplies the worth 0.625
On multiplying the transformed worth to 100 we get,
( 0.625 occasions 100 = 62.5%)
Solved Examples
Jenny, Kaley, Penny and Amy ordered 1 pizza for themselves every. If every one might eat solely fiveeighth of their pizzas, what’s the proportion of pizza consumed by every?
Answer
Every one among them might eat solely fiveeighth of their pizzas.
5eighth as a decimal level is 0.625
To seek out the share of pizza consumed by every one among them, multiply the decimal worth to 100
The obtained worth is 62.5%
(due to this fact) Every one among them ate solely 62.5% of their pizza. 
Claire noticed some statistical information that learn that 85 out of 136 folks favor being awake at night time than waking up early. Assist her discover the share of people that favor waking up early in morning.
Answer
85 out of 136 folks favor being awake at night time. This exhibits the fraction ( dfrac{5}{8}) prefers being awake at night time.
The share of people that favor being awake at night time is given as,
( dfrac{5}{8} occasions 100 = 62.5%)
The share of people that favor waking up early is given as,
(100 – 62.5 = 37.5)
(due to this fact) 37.5% folks favor waking up early in morning. 
What’s going to Valerie give the reply for under given questions?

 ( dfrac{5}{8} ) as a decimal rounded off to 2 decimal locations.

 ( dfrac{5}{8} ) as a decimal level expressed in proportion and its nearest rounded off worth.
Answer
Valerie will resolve the questions within the following method:

 ( dfrac{5}{8} ) as a decimal rounded off to 2 decimal locations:
( dfrac{5}{8} ) will be written as a decimal as 0.625
Valerie is aware of 0.625 lies between 0.62 and 0.63. Any decimal quantity which ends in 5 will get rounded off to subsequent greater quantity.
( dfrac{5}{8}) as a decimal rounded off to 2 decimal locations offers worth 0.63
Half 2: ( dfrac{5}{8}) as a decimal level expressed in proportion and its nearest rounded off worth.
The fraction ( dfrac{5}{8}) as a decimal level expressed in proportion is given as 62.5%
To spherical off this worth to its nearest worth, the worth is rounded off to 63%, because of the presence of 5 in the long run.
(due to this fact) The solutions given by Valerie shall be:
1. 0.63 2. 63% 
Interactive Questions
Listed here are just a few actions so that you can observe.
Choose/Sort your reply and click on the “Test Reply” button to see the consequence.
Difficult Questions
How can Henry characterize the next fractions as a decimal and p.c?

 ( dfrac{18}{23})

 ( dfrac{20}{225})
Let’s Summarize
We hope you loved studying about ⅝ as a decimal with the observe questions. Now, it is possible for you to to simply resolve issues on decimal to fraction.
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Ceaselessly Requested Questions (FAQs)
1. What’s ( dfrac{9}{20} ) as a decimal?
( dfrac{9}{20} ) as decimal is 0.45
2. What’s ( dfrac{11}{27} ) as a decimal?
( dfrac{11}{27} ) as a decimal is 0.407407, a recurring decimal quantity.
3. What’s ( dfrac{1}{3} ) as a decimal?
( dfrac{1}{3} ) as a decimal is 0.333, a recurring decimal quantity.