*This Math quiz is called 'Algebra - Equations - Fractional' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.*

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Numerators and denominators appear in fractional equations. The first few questions in this Math quiz will act as revision on what fractions are all about and then we get into the more interesting stuff.

Flex your brain muscles and see if you can get full marks in this quiz.

1.

According to the dictionary what is the purpose of a fraction?

To complicate math

To annoy teachers

To confuse students

To represent part of a whole

All the other answers might be true but we did ask for what the DICTIONARY tells us!

2.

Where can the 'numerator' in a fraction be found?

Above the line

Below the line

Either above or below the line

Anywhere but where it ought to be

3.

Where can the 'denominator' in a fraction be found?

Above the line

Below the line

Either above or below the line

Hiding

4.

If a fraction has a numerator (above the line) that is greater than the denominator (below the line) then it is what type of fraction?

Important

Impossible

Improbable

Improper

5.

Look at this fractional equation: ^{a}⁄_{3} = ^{9}⁄_{2}. To solve the equation what would you do first?

Multiply a x 9

Multiply 3 x 2

Multiply a x 9 AND multiply 3 x 2

Multiply a x 2 AND multiply 3 x 9

To cross multiply, you multiply the denominator on the right hand side with the numerator on the left hand side and then vise versa with the other numbers. This gets you to the position of 2 x a = 3 x 9

6.

In the equation 2 x a = 3 x 9 which of these is not correct?

2 x a = 27

2a = 3 x 9

2a = 27

a = 14.5

The correct answer is a = 13.5

7.

Look at this fractional equation: ^{a}⁄_{9} = ^{9}⁄_{4}. Which of the following steps is incorrect?

4 x a = 9 x 9

4a = 81

a = 81/4

a = 20

The correct answer is a = 20.25

8.

Look at the following fractional equation and decide what is the correct value for a: ^{a}⁄_{6} = ^{7}⁄_{4}.

6.5

8.5

10.5

12.5

If you got it wrong then look through the workings in questions 6 and 7 above

9.

Look at the following fractional equation and decide what is the correct value for a: ^{9}⁄_{a} = 18.

0.5

2

27

162

It might make it easier to think of the above equation as ^{9}⁄_{a} = ^{18}⁄_{1}

10.

Look at the following fractional equation and decide what is the correct value for a: ^{a}⁄_{3} = ^{5}⁄_{6}.

2

2.5

3

3.5

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