Fractions

Question 1

What is 3/4 as a decimal and a percentage?

Answer 1

0.75 and 75%

Question 2

What is a 1/3 as a decimal and a percentage?

Answer 2

O.33 or 33.3%

Question 3

What is 2/3 as a decimal and a percentage?

Answer 3

0.67 or 66.67%

Question 4

Tip: Always remember to simplify your answer when using fractions.

Eg. What is 8/24 in its simplest form.

Hint: what number goes into both 8 and 24

Answer 4

Definition: A proper fraction is in its simplest form when it’s numerator and denominator are as small as possible.

8/24 (8 goes into both the top and bottom) = 1/3

Question 5

What are Equivalent fractions?

Answer 5

Equivalent fractions have the same value and they represent the same number but they have different numerators and denominators.

Eg. 1/3 = 2/6 = 3/9 all have the same value and can be simplified to 1/3

Question 6

What is the rule for finding equivalent fractions?

Eg 3/6 = 1/_ And 3/5 = _\35

Hint: Ask yourself ‘how has the 3 turn into a 1’

“how has the 5 turned into 35”

Answer 6

Multiply or divide both top and bottom by the same number.

3/6 = 1/3 ( divide by 3).

3/5 = 21/35 ( times by 7)

Question 7

What is 1/4 as a decimal and a percentage?

Answer 7

0.25 and 25%

Question 8

What does < and > mean ?

Answer 8

> means greater than

< means less than

Eg. 1/2 > 1/4

Tip:always read from left to right

1/2 is greater than 1/4

Question 9

Comparing fractions: what is the rule for comparing fractions?

Eg use > or > to complete the question.

Q: 1/3 _ 3/10

Answer 9

To compare fractions the denominator has to be the same ( ie. equivalent fractions)

Step 1: Find the LCM of 3 and 10 Failsafe:easiest way is to multiple both denominators together 3 x10 =30

Then 1/3 becomes 10/30 and 3/10 becomes 9/30

1/3 > 3/10

Question 10

when adding/subtracting fractions with different denominators use the cross method.

Answer 10

Question 11

When adding/subtracting fractions with the same denominator.

Answer 11

Add/subtract the numerators, the denomiator doesn’t change.

Question 12

what is the rule when multiplying fractions.

Answer 12

multiple the top number and then multiple the bottom numbers.

Question 13

What is the rule when dividing by fractions

Answer 13

turn the divide sign into a muliplication by

1. invert the second fraction
2. then multiple the two fractions

Question 14

Turning fractions into decimals

method 1 - equivalent fractions

Answer 14

turn fractions into 10’s or 100’s

Question 15

Turning fractions into decimals

method 2 - division

Answer 15

if method 1 doesn’t work, divide the bottom number into the top number

Question 16

Turning decimals into fractions

Answer 16

Tip the number of decimal places tells you the number of zeros in the fraction

Question 17

when turning anything into a percentage you…

Answer 17

muliply by 100!

Question 18

Couple of tips when dealing with fractions.

Answer 18

1. always look to simplify the fractions before starting
2. when finishing always simplify your answer

Question 19

what mathematical operation do you use when you want a fraction of some numer.

find 2/5 of 200

Answer 19

Muliplication!