In this amazing mini-lesson, we will certainly learn how to convert3/8 together a decimal. If doing so, we will likewise explore other portion to decimalconversions such as3/2 as a decimal and 1/10 as a decimal.

You are watching: 3/4 in decimal form

You can inspect out the interactive questions to know more about the class and try your hand at solving a couple of interesting exercise questions at the finish of the lesson.

Before we acquire started, let's check out what Mr. Mike is confused about.

Mr. Mike asks John, "Can you you re welcome tell me which is smaller, 3/4 or 0.34?"

John is clueless as both the numbers perform not have the very same form.

He cananswer the concern with lull if he could represent both in the same kind i.e. One of two people both in decimal or in fraction.


Let'ssee exactly how to carry out that.

Lesson Plan

1.What Is 3/4 as a Decimal?
2.Notes top top 3/4 together a Decimal
3.Think the end of the box!
4.Solved instances on 3/4 as a Decimal
5.Interactive concerns on 3/4 together a Decimal

What Is 3/4 together aDecimal?

The indigenous "Decimal" is derivedfrom the Latin native Decimus which way one-tenth. The decimal system has actually base 10

1/10 as a decimal way 0.1 and also 1/100 to represent 0.01

When we transform a fraction into decimal form, we convert it into a number that has actually a denominator 1. So, the molecule takes a type that has actually a decimal pointin it.

The decimalform of(dfrac34,) is 0.75

Visualizing 0.75

Look at the square grid having actually 100 grids. Each square here will represent the fraction (dfrac1100)

0.75 = 0.5 + 0.25

0.5 = 0.50 which means 50 out of 100 and also 0.25 denotes 25 the end of 100


Let's continue to find out the approaches to convert 3/4 right into decimal form.

How to change 3/4 as a Decimal?

The fraction(dfrac34,)can be converted to a type with denominator 1 by finding its decimal form.

To obtain the decimal kind of (dfrac34,), various approaches room possible.

Method 1

In this method, us use long division.


Here, molecule = 3 and Denominator = 4. Let's division 3 by 4


We obtain the remainder 3 top top division. So, we continue the division till we acquire remainder 0


A decimal allude is placed after 3 and we include a 0 to continue division. This also introduces a decimal suggest in the quotient after 0. Now, we have the remainder 30

<4 imes 7 = 28> and,<30-28=2>

Remainder = 2. So, we proceed dividing.

Put one more 0 after ~ the decimal in the dividend and bring it down to make the remainder 20 now.


(4 imes 5 = 20) and(20-20=0)

Remainder = 0. So, we stop dividing. The quotient offers the decimal type of (dfrac34).

(dfrac34=0.75 extDecimal form)


We deserve to use this method forconverting any fraction to decimal form.

Example: Let's shot representing thefraction3/8 together a decimal.

Numerator = 3, Denominator = 8

Let's use lengthy division.


We obtain,

Method 2

The other method is to convert the fraction into that is equivalent portion with a denominator as a power of 10

Example:Consider (dfrac32), we can express 3/2 as adecimal by convert it into its equivalent portion with denominator 10

eginalign dfrac32&=dfrac3 imes 52 imes 5\&=dfrac1510\&=1.5endalign

In thefraction(dfrac34), denominator = 4

We should look because that a multiple of 4 i m sorry is a strength of 10

The very first power the 10 is 10 i beg your pardon is nota multiple of 4. So, let's look at the second multiple i.e. 100, i m sorry is a lot of of 4


eginalign dfrac34&=dfrac3 imes 254 imes 25\&=dfrac75100endalign

Now, observe the there room 2 zeros in the denominator.

So, there will be two digits after decimal in the numerator.

See more: 19 Is What Percent Of 76 As A Percentage? 19 Is What Percent Of 76


We have the right to even transform a decimal come a fraction. Because that this, we think about the variety of digits after ~ the decimal.