Month: September 2017

Try these questions. Feel free to leave a comment if something isn’t clear. Just skip the question and go onto the next one if you can’t figure it out, but keep in mind that the questions tend to get harder.

Question 1

Calculate

Question 2

Calculate

Question 3

Cancel out the common factors to find the answer

a)

b)

Question 4

Rewrite

in the form

,

where x, y, a, b and c are integers, and 0< a < b < c < 30.

(I have a feeling this question and the next will be hard to understand. Let me know if this is the case. I could add an example to explain how to answer them.)

Question 5

Rewrite 

in the form

,

where x, y, z, a, b and n are all integers.

Question 6

Simplify

Question 7

Simplify

Question 8

Simplify

Question 9

for 

find x

Question 10

Simplify

 

 

I was just going to put the answers up, but I thought about it and decided it’s better if I show you my working out. For a couple of the answers, I showed two methods. This is because I like to convert improper fractions to mixed numbers before doing addition or subtraction. It just makes it a bit easier to work out in my head.

Question 1

Question 2

 

 

 

This method follows the standard process

 

OR

 

 

 

 

This method converts the improper fractions to mixed numbers/integer + fraction. I feel that it is more intuitive and less error prone.

Question 3

Question 4

If following the standard process:

If converting the fractions to mixed numbers/integer + fraction:

Question 5

I convert the improper fraction to a mixed number first. It’s just easier!

Question 6

Question 7

Question 8

Question 9

Question 10

Here are some fractions questions. Test yourself! If the answer is more than one, find the answer as both an improper fraction or mixed number.

I’ll post the answers later!

1)     

 

2)    

 

3)   

 

4)   

 

5)  

 

6) 

 

7) 

 

8) 

 

9) 

 

10)