Answers to Fractions Revision Questions

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

Fractions Revision

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!

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An Algebra Beginner’s problem

Healesville and Werribee are on opposite sides of Melbourne. Let’s assume you have to travel through Melbourne to get from Healesville to Werribee.

The distance from Melbourne to Healesville is approximately 60Km,

so we say H=60Km

The distance from Healesville to Werribee is approximately 90Km,

so we say L=90Km

The distance from Werribee to Melbourne is called W

Only one of the statements below is true. Which one is it?

(all units are Km)

a) W = H + L, so W = 60 + 90

b) W + L = H, so W + 90 = 60

c) W + H = L, so W + 60 = 90

d) W + H = L -H, so W + 60 = 90 – 60