WunderQuiz

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).

253, 10, 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).

Thèmes :

Quiz Preview

$\frac{2}{4} + \frac{1}{4} = ?$

1/2

3/4

3/8

ⓘ

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.

$\frac{5}{3} - \frac{2}{3} = ?$

1/3

3/0

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).

$\frac{2}{3} + \frac{5}{6} = ?$

3/2

7/6

7/9

ⓘ

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

$\frac{2}{3} + \frac{5}{6} = \frac{4}{6} + \frac{5}{6} = \frac{9}{6} = \frac{3}{2}$

$\frac{4}{3} - \frac{2}{5} = ?$

14/15

-1

3/2

4/5

ⓘ

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

$\frac{4}{3} - \frac{2}{5} = \frac{4 \times 5}{3 \times 5} - \frac{2 \times 3}{5 \times 3} =$

$\frac{20}{15} - \frac{6}{15} = \frac{20 - 6}{15} = \frac{14}{15}$

$\frac{2}{3} + 2 = ?$

2/3

8/3

5/3

ⓘ

$\frac{2}{3} + 2 = \frac{2}{3} + \frac{2}{1} = \frac{2}{3} + \frac{2 \times 3}{3} =$

$\frac{2}{3} + \frac{6}{3} = \frac{8}{3}$

$\frac{5}{6} - \frac{5}{8} = ?$

5/48

-0/2

5/24

-1/12

ⓘ

$\frac{5}{6} - \frac{5}{8} = \frac{5 \times 4}{24} + \frac{5 \times 3}{24} =$

$\frac{20 - 15}{24} = \frac{5}{24}$

$\frac{5}{10} + \frac{1}{3} = ?$

5/6

21/30

6/13

1/2

ⓘ

$\frac{5}{10} + \frac{1}{3} = \frac{5 \times 3}{30} + \frac{1 \times 10}{30} =$

$\frac{15 + 10}{30} = \frac{25}{30} = \frac{5}{6}$

$\frac{3}{4} - \frac{6}{18} = ?$

1/3

-3/14

2/18

5/12

ⓘ

$\frac{3}{4} - \frac{6}{18} = \frac{3 \times 9}{36} - \frac{6 \times 2}{36} =$

$\frac{27 - 12}{36} = \frac{15}{36} = \frac{5}{12}$

The least common multiple of 4 and 6 is ?

ⓘ

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 ?

864 (24 * 36)

288

144

ⓘ

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

WunderQuiz

Middle School Math: Fractions - Adding and Substracting

Middle School Math: Fractions - Adding and Substracting

Quiz Preview

2 4 + 1 4 =?

5 3 - 2 3 =?

2 3 + 5 6 =?

4 3 - 2 5 =?

2 3 + 2 =?

5 6 - 5 8 =?

5 10 + 1 3 =?

3 4 - 6 18 =?

The least common multiple of 4 and 6 is ?

The least common multiple of 24 and 36 is ?

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$\frac{2}{4} + \frac{1}{4} = ?$

$\frac{5}{3} - \frac{2}{3} = ?$

$\frac{2}{3} + \frac{5}{6} = ?$

$\frac{4}{3} - \frac{2}{5} = ?$

$\frac{2}{3} + 2 = ?$

$\frac{5}{6} - \frac{5}{8} = ?$

$\frac{5}{10} + \frac{1}{3} = ?$

$\frac{3}{4} - \frac{6}{18} = ?$