In this interesting mini-lesson, we will certainly learn just how to convert3/8 together a decimal. If doing so, us will additionally explore other fraction to decimalconversions together as3/2 as a decimal and also 1/10 as a decimal.

You are watching: How do you write 3/4 as a decimal

You can check out the interactive inquiries to know more about the lesson and try your hand at resolving a few interesting exercise questions in ~ the end of the lesson.

Before we obtain started, let's see what Mr. Mike is perplexed about.

Mr. Mike asks John, "Can you please tell me i beg your pardon is smaller, 3/4 or 0.34?"

John is clueless together both the numbers do not have the very same form.

He cananswer the inquiry with lull if he might represent both in the same form i.e. Either both in decimal or in fraction.


Let'ssee just how to do that.

Lesson Plan

1.What Is 3/4 together a Decimal?
2.Notes ~ above 3/4 together a Decimal
3.Think the end of the box!
4.Solved examples on 3/4 as a Decimal
5.Interactive questions on 3/4 as a Decimal

What Is 3/4 together aDecimal?

The word "Decimal" is derivedfrom the Latin word Decimus which method one-tenth. The decimal system has base 10

1/10 as a decimal means 0.1 and 1/100 represents 0.01

When we convert a portion into decimal form, we convert it into a number that has a denominator 1. So, the numerator takes a type that has a decimal pointin it.

The decimalform of\(\dfrac34\,\) is 0.75

Visualizing 0.75

Look at the square grid having actually 100 grids. Every square right here will stand for the portion \(\dfrac1100\)

0.75 = 0.5 + 0.25

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


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

How to change 3/4 together a Decimal?

The fraction\(\dfrac34\,\)can be convert to a kind with denominator 1 by recognize its decimal form.

To get the decimal kind of \(\dfrac34\,\), miscellaneous approaches room possible.

Method 1

In this method, we use lengthy division.


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


We acquire the remainder 3 on division. So, we proceed the division till we get remainder 0


A decimal allude is placed after 3 and we add a 0 to proceed division. This additionally introduces a decimal point in the quotient after 0. Now, we have actually the remainder 30

\<4\times 7 = 28\> and,\<30-28=2\>

Remainder = 2. So, we proceed dividing.

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


\(4\times 5 = 20\) and\(20-20=0\)

Remainder = 0. So, we protect against dividing. The quotient offers the decimal kind of \(\dfrac34\).

\(\dfrac34=0.75\textDecimal form\)


We can use this technique forconverting any fraction to decimal form.

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

Numerator = 3, Denominator = 8

Let's use lengthy division.


We obtain, \<\dfrac38 = 0.375\>

Method 2

The other method is to transform the portion into the equivalent fraction with a denominator together a power of 10

Example:Consider \(\dfrac32\), we deserve to express 3/2 as adecimal by converting it right into its equivalent portion with denominator 10

\beginalign \dfrac32&=\dfrac3\times 52\times 5\\&=\dfrac1510\\&=1.5\endalign

In thefraction\(\dfrac34\), denominator = 4

We must look because that a lot of of 4 which is a power of 10

The very first power the 10 is 10 which is nota multiple of 4. So, let's look in ~ the second multiple i.e. 100, i beg your pardon is a multiple of 4


\beginalign \dfrac34&=\dfrac3\times 254\times 25\\&=\dfrac75100\endalign

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

So, there will be 2 digits ~ decimal in the numerator.

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We have the right to even transform a decimal come a fraction. For this, we think about the number of digits ~ the decimal.