There are going to be 3 types of people who are reading this article. The first is young people who are preparing for their exams. The second is people who need to know how to do fractions for a real-life problem. And the third is someone just reading for the fun of it.
Which value is equal to 1/4 of 1,360? The answer is 340. 1/4*1360 = 1360/4 = 340.
But for those of you with a bit more time on your hands, today, I want to explain how you can figure out this sum with or without the use of a calculator.
With a Calculator
If you need this for your life and not just your exam, you’ll have access to a calculator.
Even so, figuring out fractions by using a calculator isn’t always quite as easy as it might seem at first. Or at least, that’s what many of you may falsely think.
All you need to do is type is 1÷4 × 1360.
This will give you the answer of 340. If you have one of those fancy calculators, you could type it in as (1÷4) × 1360, but because of the rules of BI(DM)(AS), there is no need to do this.
Half of a half
Before we can figure out how to find a quarter of any number, we first of all need to figure out what a quarter is.
There are many ways we could say a quarter, we could call it 25% or write it as a fraction as ¼.
One quarter is just half of a half. So if you were to take a cake and cut it in two, you would get two halves, but if you were to cut each of those halves in half again, you could get four quarters.
Both two halves and four quarters add up to a whole.
Halve it
So let’s kick things off by trying to find ½ of 1360. This is easy if you have a calculator, it’s easy, but if you don’t, you may want to cut each of the numbers individually.
1000÷2= 500
300÷2= 150
60÷2=30
If you struggle with these big numbers, all you need to do is cut off the zeros until they become numbers they can work with. When you find out half of these workable numbers, you need to add the same number of zeros on that you took off.
Now, we need to add all of our numbers up to find half of 1360.
500+150+30= 680.
Halve it again
So, now we know that half of 1360 is 680, and we also know that a quarter is a half of a half, it won’t take a genius to figure out that the find a quarter of 1360, we’ll need to find half of 680.
If you have a calculator, this is easy.
But if you don’t, you may need to cut it up into the numbers its made of.
600÷2=300
80÷2=40
All we need to do now is add those two numbers together.
300+40=340
Other ways to phrase it
When you’re doing your exam, the chances of a paper just straight up asking “What is ¼ of 1360” or “What is 25% of 1360” are almost zero.
What is more likely is they’ll put it into a question.
“Sarah is sharing $1360 with 3 of her friends. How much money will each friend get?”
“Alfie has 1360 marbles, but he needs to give 25% to his younger brother. How many marbles does Alfie need to give to his younger brother?”
But no matter how they phrase it, the process that you need to go through to get to the answer is going to be the same.
¾
Halfway between a half and whole is ¾. Some of your exam questions might require you to figure out the value of ¾ of 1360.
If 2/4 is a half. And ¾ is a half plus a quarter, to figure out ¾ of any number, we need to figure out a half plus and a quarter, and add the two numbers together.
Earlier, we established that ½ of 1360 is 680 and ¼ of 1360 is 340.
Adding them up is easy, even without a calculator.
680+340=720.
No shame in needing a pen and paper to figure this out.
⅛
“Sarah is sharing $1360 with 3 of her friends. How much money will each friend get?”
$340
“Sarah’s friend Alice needs to share half of her money with her friend Jane. How much money will Jane get?”
This is the same as asking “What is 1/8 of 1360?”
To find out 1/8, we need to find ½ of whatever ¼ is.
300÷2=150
40÷2= 20
150+20=170
Therefore 1/8 of 1360 is 170.
In the unlikely event, you need to find out what 1/16 of 1360 is, you’ll have to cut 170 in half to get 85.
Other fractions
Let’s take a look at some other fractions for us to figure out.
¼ of 1560
1000÷2= 500
500÷2=250
60÷2=30
500+260+30= 780
700÷2= 350
80÷2= 40
350+40= 390
¼ of 1560 is 390
¼ of 2780
2000÷2= 1000
700÷2=350
80÷2=40
1000+350+40=1390
1000÷2=500
300÷2=150
90÷2=45
500+150+45= 695
¼ of 2780 is 695
¼ of 868640
800000÷2=400000
60000÷2=30000
8000÷2=4000
600÷2=300
40÷2=20
400000+30000+4000+300+20= 434,320
400,000÷2=200,000
30,000÷2=15,000
4000÷2=2000
300÷2=150
20÷2=10
200,000+15,000+2000+150+10= 217,160
I know that the last one was really hard, and you won’t be finding it on a non-calculator exam. But I just wanted to show you that finding ¼ of even huge numbers isn’t as hard as many of you might think.
TL;DR
¼ of 1360
1000÷2= 500
300÷2= 150
60÷2=30
500+150+30= 680.
600÷2=300
80÷2=40
300+40=340
Conclusion
When trying to find out ¼ of any number, there will be some of us who get confused and unsure about how to go about it. ‘
But even if you don’t have a calculator, you can find ¼ of any number.
The first step is to find out half, if the number is big, feel free to cut it up into it’s parts.
And when you’ve found a half, you just need to half it again.
