Fractions
Index Laws
Simplify ratio
Divide in a Ratio
Ratios, Fractions, Percentages
100

3/7 + 2/5

29/35

100

7y^3 xx 4y^7

28y^10

100

Simplify  20: 12

5:3

100

Share $20 in the ratio 3:2

$12:$8

100

SURPRISE!!

What's 

8 xx -12

-96

200

3/8 div 2/5

15/16

200

(2x^4)^3

8x^12

200

Simplify  100: 35 : 85

20:7:17

200

Share $60 in the ratio 7:2:1

$42 : $12 : $6
200

There are 30 counters in a bag.  20% are red, the rest are blue and green in the ratio 5:3

How many counters are green?

9

300

5 1/3 xx 1/2

16/6 or 8/3 or 2 2/3 

300

4^-3

1/64

300

Simplify 0.5 : 4

1:8

300

Divide $108 in the ratio 4:3:2

$48 : $36 : $24

300

Alice, Ben and Cindy shared $180 in the ratio 9:5:6 What percentage of the money did Cindy get?

30%

400

7 1/6 + 2 1/3

29/6 or 4 2/3

400

(15 xx 2^8)/(5 xx 2^6)

12

400

BONUS!  What city was Mr White born in?

Melbourne, Australia

400

a jackpot lottery is shared between Mr White and Mr McNaughton in the ratio 3:2

If Mr White got $150k (150,000) how much was the total jackpot?

$250k or 250000

400

Robbie and Gary share $675 in the ratio 5 : 4. Gary spends 5/6 of his money on a new TV. How much does Gary’s new TV cost?

$250

500

1/5 + 1/7 + 1/9

143/315

500

((4x^2)^(1/2))/(27x^9)^(1/3)

(2x)/(3x^2) = (2x^-1)/3 or 2/(3x) 

500

Simplify 0.03:0.15

1:5

500

SURPRISE!  Which invention is the oldest: 

a) Chewing Gum

b) Telephone

c) Printing Press

Chewing Gum

500

Three sisters Delia, Emma and Fajar share £880 in the ratio 2 : 5 : 4. Emma gives 2/5 of her money to her mother, and Fajar gives 3/8 of her money to her mother. How much money does their mother get in total?

280