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Middle School Math: Fractions - Adding and Substracting

quiz image
Small quiz to repeat the basics of math for middle school.
How to add or substract fractions ?

1) You must find a common denominator (thats the lower part)
! You can only add fractions with common denominators !
2) Then you just add the numerator (the upper part)

Please try this quiz in Firefox, Chome and Edge don't understand math symbols (MathML).

visibility237, numbers10, Crée par : gauss

Middle School Math: Fractions - Adding and Substracting

Small quiz to repeat the basics of math for middle school. How to add or substract fractions ? 1) You must find a common denominator (thats the lower part) ! You can only add fractions with common denominators ! 2) Then you just add the numerator (the upper part) Please try this quiz in Firefox, Chome and Edge don't understand math symbols (MathML).

ScienceMathsNumbers

Quiz Preview







2





4





+





1





4





=?

1/2
3/8
3/4
1
ⓘ

Both fractions already have the same denominator. Yippee. Nothing to do.
We keep the denominator and simply add the numerators: 2 quarters + 1 quarter = 3/4.







5





3





-





2





3





=

?

1
3/0
1/3
3/3
ⓘ

Both fractions already have the same denominator. We keep the denominator - the thirds
.
We simply subtract the numerators: 5 (thirds) - 2 (thirds) = 3 (thirds).







2





3





+





5





6





=

?

7/6
3/2
7/9
1
ⓘ

We need to find a common denominator (or better the least common multiple - LCM) of 3 and 6. This is 6.








2





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6





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3





2











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=

?

4/5
-1
3/2
14/15
ⓘ

You have to find the least common multiple (LCM) of 3 and 5.

Since 3 and 5 have nothing in common the LCM is the product of 3 and 5 = 15








4





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2





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3

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20





15





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6





15





=





20

-

6




15





=







14





15











2





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2



=

?

8/3
2/3
5/3
2
ⓘ







2





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2



=







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2





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2

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?

-0/2
-1/12
5/24
5/48
ⓘ







5





6





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5





8





=







5

×

4





24





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5

×

3





24





=









20

-

15





24





=







5





24











5





10





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=

?

5/6
21/30
1/2
6/13
ⓘ







5





10





+





1





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5

×

3





30





+





1

×

10





30





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15

+

10





30





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25





30





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5





6











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6





18





=

?

1/3
-3/14
5/12
2/18
ⓘ







3





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6





18





=







3

×

9





36





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6

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36





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27

-

12





36





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15





36





=







5





12





The least common multiple of 4 and 6 is ?

24
6
36
12
ⓘ

The least common multiple of two numbers a and b is the smallest number that can be divided by both a and b giving an integer result.

24 is indeed divisible by 4 and by 6, but so is 12 and 12 is smaller.

36 is also divisible by 4 and by 6, but it is too large.

6 is not divisible by 4 as a whole.

The least common multiple of 24 and 36 is ?

288
144
864 (24 * 36)
72
ⓘ

The least common multiple of two numbers a and b is the smallest number that can be divided by both a and b giving an integer result.

24 = 2 * 12 = 2 * 2 * 6 = 2 * 2 * 2 * 3

36 = 2 * 18 = 2 * 2 * 9 = 2 * 2 * 3 * 3

LCM = 2 * 2 * 2 * 3 * 3 = 8 * 9 = 72

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