# Can You Match the Fraction to the Decimal Amount?

By: Talin Vartanian
2 min Image: Paul Bradbury / OJO Images / Getty Images

We get it — math is definitely not an easy subject for many people. There are various types of fractions to work with in the math world, and calculating their decimal equivalents may not be such a breeze. But today, we want to challenge you with your fraction and decimal knowledge. Oh, and try not to use a calculator either!

Fractions may seem scary at first, but they can actually be quite fun to solve, especially once you get the hang of it! Take a relatively easy fraction like 1/2, for instance. Its decimal equivalent would be .50, which means half. Or, how about 1/4, which equals out to one quarter, or .25. You may also have to reduce certain fractions in order to figure out their correct decimal form. For example, the fraction 6/12 can be reduced down to 3/6. We can even simplify this further down to 1/2. But since 1/2 cannot be further reduced, this would be our final answer, which is .50 as previously stated.

There are also more complicated versions of fractions that incorporate large numbers, negative signs and even other decimals! So if you're up for the challenge, then it's time for you to take our fun fraction quiz right now! LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
Can you match 5/10 to its decimal amount?
.50
.25
.15
.75

If you divide 5 by 10, you'll get .50, which is another way of saying "one half." Here's another way of looking at this — if you take 10 and divide it by 2, you'll get 5, which is exactly half of 10. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
Can you figure out what 3/4 is in decimal form?
.25
.75
.333
.45

Dividing 3 by 4 will equal out to .75. In percent form, this would be 75% because you would move the decimal place over to the right by two places. 3/4 is also a common unit of measurement for baking items. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
Take a guess what 1/3 is in decimal form!
.113
.131
.333
.133

If you divide 1 by 3, you'll get .333. This is also known as a repeating decimal because the ".333" part goes on forever. There will always be an infinite amount of "3's" after the decimal point. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
What is the decimal equivalent of 1/5?
.115
.40
.25
.20

1/5 equals out to .20, which can also be phrased as 20% because you're moving the decimal place over to the right two times. Some people also write this as ".2" which is the same as ".20." LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
How about matching 1/10 to its decimal form?
.10
.001
.01
1

1/10 is the same thing as .1 or .10. It doesn't matter how you write this either, because there will always be "invisible zeros" after the "1" part. You could even write this as .1000000. HowStuffWorks
We've got a decimal of .125, but what is its fraction form?
1/8
2/8
3/8
4/8

.125 is the equivalent of 1/8. In percent form, this would be 12.5% since the decimal place would be moved between the "2" and the "5" number. You could also write this as .12500000. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
Can you match 2/9 to its correct decimal form?
.929
.222
.322
.45

2/9 is the same thing as .222. The "2's" in this decimal form actually repeat forever, which is also known as a repeating decimal. For instance, you could write this as .2222222222222222. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
Do you know the decimal equivalent of 5/6?
.655
.75
.833
.50

If you divide 5 by 6, you'll get .833. But did you know that the "3's" in this decimal form are actually repeating decimals? So you could write this as ".833333333," and it would mean the same thing. HowStuffWorks
.80 is equivalent to which of these fractions?
1/5
2/5
3/5
4/5

4/5=.80. Here's one way to remember this: 5/5=1, which is the same as 100%. So if 4/5=.80, or 80%, then this difference would be 20%. So when dealing with fractions from 1/5 to 5/5, remember that everything is separated by 20%. HowStuffWorks
If you're doing well so far, then you probably know what 63/64 is in decimal form!
.984
.753
.629
.421

63/64 can also be written as .984. Remember that 64/64=1. So that means that 63/64 is really close to 1, so the best option to choose from would be .984, which is also written as 98.4%. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
Try and guess what the decimal form of 9/16 is!
.8530
.5625
.3856
.1428

.5625 is the same thing as 9/16. Look at it this way: 9/18 would equal out to .50, right? So that means that 9/16 would be somewhat close to that .50 number, so the best option to choose from would be .5625. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
How about matching 1/11 to its decimal form?
.0111
.7722
.0909
.2222

1/11 can also be written as .0909. Here's why: if 1/10 is written as .10 or 10%, then that means that 1/11 must also be close to that .10 number. So the best option would be .0909, or, 9.09%. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
What is the decimal equivalent of 3/18?
.628
.318
.255
.166

The fraction 3/18 is written as .166, and since the "6" number repeats itself forever, this is also known as a repeating decimal. So, you could write this as .166666, and it would mean the same thing. HowStuffWorks
Want to take a guess at what the decimal form of -2/100 is?
-.02
-.20
-.002
-2

Don't let the negative sign scare you, because -2/100 just means -.02. When dividing any number by 100, you're just moving the decimal place over to the left two times. Another example would be 1/100, which is .01. HowStuffWorks
How about the decimal equivalent of this fraction: 1000/1000?
.01
10.00
1.0
.1000

1000/1000 is the same thing as 1. If you divide any number by itself, you'll always get the number 1. It could even be a really big number like 1,000,000/1,000,000 and you'll still get 1. HowStuffWorks
1/32 can also be written as ...
.0031
3.1
.31
.031

Specifically, the answer is .03125. This one may seem easy to remember because the "31" part in the decimal sounds pretty close to the "32" part in the fraction, right? Just remember to add that 0 before "31." HowStuffWorks
Can you match .0625 to its fraction form?
1/8
1/16
1/36
1/6

The fraction 1/16 and .0625 mean the exact same thing in this context. In percent form, this is also written as 6.25% since you're moving the decimal place over to the right two times. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
One of these decimals matches to 4/9, but which one is it?
.444
.999
.494
.624

4/9 is also written as .444. All of those "4" numbers repeats itself forever, so you could also write this as .444444 and it would mean the same thing. This is called a recurring decimal. HowStuffWorks
Here's one for you to try: 50/101.
.495
.554
.450
.323

So here's why 50/101 equals out to .495 — you might already know that 50/100 is the same thing as .50, right? So this means that .495 is really close to .50, so it would be the best option in this context. HowStuffWorks
How about calculating the decimal form of this fraction: 39/78?
.455
.50
.655
.755

No tricks here, because 39/78 is the same thing as .50. Look at it this way: if you take 78 and divide it by 2, then you'll get 39 because 39 is exactly half of 78. You could also multiply 39 by 2 to get 78. HowStuffWorks
Here's a tricky one for you to try: 1/.50
1.5
2.5
2.0
.50

Fractions with decimals in them may seem scary at first but let's work this one out together. 1/.50 is another way of doubling the numerator (which is 1 in the fraction), so the answer would be 2. Another example would be 2/.50, which would be 4 because you're just doubling that 2 number. HowStuffWorks
How about giving this one a try: 100/3
33.3
77.7
13.3
3.33

100/3 is the same thing as 33.3, and that "3" number after the decimal repeats itself forever. Here's another way of looking at this: how many times does 3 go into 100? 33.3 times because if you multiply 3 by 33.3, you get 100. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
You're doing great so far, so give this one a try: 12/5
1.4
2.4
3.4
5.4

12/5 is equivalent to 2.4. Here's one way of looking at this: 5 goes into 10 two times, right? So since 12 is pretty close to 10, that means that 2.4 must be the best option for this question. HowStuffWorks
8.33 may be a repeating decimal, but what is its fraction equivalent?
22/3
24/3
26/3
25/3

Here's why the answer to this question is 25/3 — we know that 24/3 would be 8, right? So since 25 is just a little bit higher than 24, that means that 8.33 would be the best option. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
What is the decimal equivalent of 12/11?
.00109
.109
1.09
.0109

12/11 can also be written as 1.09. Here's one trick to remember: if the top number in the fraction is bigger than the bottom number in the same fraction, then the decimal will always start at at least "1" followed by a decimal point. HowStuffWorks
400/1000 may look scary, but you can figure this out, right?
4.0
.04
.60
.40

The fraction 400/1000 equals out to .40. Just remember this little trick when dividing a number by 1000: move the decimal place over three times to the left, because 1000 has three zeros in it. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
How about giving this fraction a try: 9/10
.90
.09
9.0
.019

.90 is the answer to 9/10. When dividing a number by 10, just move the decimal place over to the left one time. This is because the number 10 has one zero in it. Another example would be 7/10, which is .70. HowStuffWorks
This one might be a little tricky, but we believe in you: .50/.25
1.5
2.0
3.5
4.0

Don't worry, because this one is not as tricky as it looks. Look at this fraction like this: (1/2)/(1/4). So, you're basically multiplying 1/2 by 4, which equals out to 2.0 (because half of 4 is 2). HowStuffWorks
Don't let this fraction fool you: -3/-50
.60
-.06
.06
-.60

When multiplying or dividing two negative numbers together, remember that the answer is always positive. So with this question, the answer would be a positive .06 from the fraction -3/-50. HowStuffWorks
What's the fraction equivalent of this decimal: .25?
1/4
2/8
4/16
All of the above

That's right, all of the fractions in this question mean the same thing: .25. This decimal is also written as 1/4, and 2/8 and 4/16 can all be reduced down to 1/4. Another example would be 8/32, which is also .25. LueratSatichob / DigitalVision Vectors / Getty Images, HowStuffWorks
6/5 can also be written as which of these decimals?
1.2
1.4
1.6
1.8

Here's a trick that we have for you: if 5/5 is equivalent to 1, then that means that 6/5 is close to that "1" number. So, the next closest number would be 1.2. 7/5 would be equivalent to 1.4, 8/5=1.6, and so forth. HowStuffWorks
Which of these is not the fraction equivalent of .75?
12/15
15/20
3/4
6/8

Another way of writing .75 is by using the fraction 3/4. So, all of the fractions above equals out to 3/4, except for 12/15. But it comes close, as this fraction is the equivalent of .80. HowStuffWorks
Match this fraction to its decimal equivalent: 2.5/3
.833
.733
.633
.533

2.5/3 is the same thing as .833. This is also known as a repeating decimal since all of those "3" numbers after the 8 repeat forever. You could also write this decimal as .833333333. HowStuffWorks
Try and guess what the decimal equivalent of this fraction is: 8/80
.12
.10
.15
.80

8/80 is the equivalent of the decimal .10. Here's one way of looking at this — the fraction 80/8 is 10, right? So if we just flip the top and bottom numbers of this fraction around, then we get .10. HowStuffWorks
How about calculating the decimal equivalent of this fraction: 15/200
7.5
.75
.075
75

15/200 means the same thing as .075. In percent form, this would also be 7.5% since you're moving the decimal place over to the right two times. And look at it this way: if 15/20 is .75, then with 15/200, you would just add an extra zero in front of the 7 number. HowStuffWorks
What is the decimal equivalent of 65/2?
32.5
33.5
27.5
28.5

32.5 is the equivalent of 65/2. Another way of looking at this is by understanding that half of 65 is 32.5. If you take half of an odd number, you'll always get a decimal number as the answer. HowStuffWorks
How about trying to solve this problem: 100/99?
2.01
1.01
3.01
4.01

The fraction 100/99 equals out to 1.01. This is because 100/100 is equivalent to 1, so 100/99 is very close to this "1" number. Thus, 1.01 would be the best option for this question. HowStuffWorks
Take a guess at what the decimal form of 5/75 is!
.0575
.075
.066
.055

.066 is the decimal equivalent of 5/75. Specifically, the answer is .06666667. Its percent form would also be 6.6% since you would be moving the decimal place over to the right two times. HowStuffWorks
What is the decimal equivalent of 9.9/2.2?
5.5
2.5
3.5
4.5

Here's one way of looking at this problem. If you remove the decimals and the second digits from this fraction, you get 9/2. And did you know that 9/2 also equals out to 4.5, which is the same decimal equivalent as 9.9/2.2! HowStuffWorks
Let's figure out what the decimal form of 1/1.1 is!
.909
.899
.599
.499