# Converting fraction into percentage within seconds

Once you know the trick we are going to discuss here you will love converting fraction to percentage.

Whenever we see a fraction we start dividing immediately.But let me tell you one thing;it is a lot easier to do it the other way.

## Converting fraction into percentage Trick Steps

Let us now discuss the steps
Step 1: Observe both the denominator and numerator
and find out how far the denominator is from the numerator.
At a glance you will be able to tell the range between which it falls.

Step 2: Check the options given in the exam to see if you get the answer right away.
If the options are too close then you need work out to get an accurate answer.

Important Points to remember

(a)If the denominator is very close to the numerator then start checking 100% of denominator
and plus or minus 10%,5%,1%,2% of the denominator.

(b)If the denominator is far away from the numerator then start checking 10%,5%,1%,2% of the denominator.
(c)If the denominator is double the numerator then at a glance you can say it is 50%.

You can refer to Shortcut to find percentage of a number if you are new to this concept.

We shall now apply this trick in the examples below

## Examples

Example 1: (8/160) x 100=?

Step 1: We observe that the denominator(160) is far away from numerator(8).
So we start by finding 10% of 160
10% of 160=16

Step 2: We find that 16 is greater than 8
16>8
So now we shall find 5% of 160
5% of 160=16/2=8
Now we observe that the denominator is equal to the numerator.

Ans (8/160) x 100=5%

Example 2: (54/60) x 100=?
Step 1: We observe that the denominator is close to the numerator
so we start by taking 100% of the number
100% of 60=60

Step 2:We find the 60 is greater than 54
60>54,So we find 10% of 60
10% of 60=6
60-6=54
which is 100%-10%=90%

Ans (54/60) x 100=90%

Example 3: (78/80) x 100=?
Step 1: We observe that the denominator is close to the numerator
so we start by taking 100% of the number
100% of 80=80

Step 2:We find the 80 is greater than 78

80>78,So we find 10% of 80
10% of 80=8
80-8=72

we find that 72<78 so we find 5% of 80

5% of 80=8/2=4

We find that 80-4=76 which is again less than 78

so we find 1% of 80 which is

1% of 80=0.80

we find that 80-0.80=79.20 which is greater that 78

so we find 2% of 80=0.80 + 0.80=1.60

and we find that 80-1.60=78.4 which is close to the numerator 78.

now let us find 3% of 80= 0.80 + 0.80 + 0.80=2.4

and we find that 80 – 2.4=77.6 which is less than the numerator 78.

so the answer lies between 77.6 and 78.40

That is answer of 78/80 lies between 98% and 97%

which is 97.5%

Ans (78/80) x 100=90%