Fractions
Converting Fraction, Decimal, Percentage
Decimals - 4 operations
Problem Solving - fractions
Percentages of amounts
100

Identify an equivalent fraction for 4/8.

1/2

2/4

8/16

12/24

100

Convert 1/2 to a decimal

0.50

100

Use your calculator to solve 5.67 + 3.54

9.21

100

Gemma got 23 marks on her test out of 30.  What was her result as a percent?

CE:  30 = Total marks; 23 = Result; % = ?

RR:  Results/Total x 100

WO:  23/30 x 100

AU:   = 76.67%

JU:  Gemma got 76.67% on her test.

100

Jay Jay's is having a sale on t-shirts.  The sale involves 20% off the original price of $35.  What is the new price of the t-shirt?

CE:  Original price = $35; % off = 20%

RR:  20% of 35

WO: 20/100 = 0.20

       0.20 x 35

       = $7 off

       New cost of shirt = $35 - $7 

AU:                           = $28

JU:  The new price of the t-shirt is $28.

200

Identify an equivalent fraction for 12/15

4/5

24/30

36/45

200

Convert 25% to a decimal

0.25

200

Use your calculator to solve 8.69 +1.30

9.99

200

At Aunt Thelma's wedding there are 2/5 pieces of pie left.  Cousin Sheldon then eats 2/5 pieces.  What fraction of the pie is left?

CE: 2/5 pie left; 2/5 pie eaten; left over = ?

RR: Subtraction; Fractions

WO: 2/5 + 2/5

      = 4/5

      Left over pie =5/5 - 4/5

AU:                    =1/5

JU:  There is 1/5 of the pie left.

200

Steve got 16% off the new saddle he purchased.  If it originally cost $350 what was the new amount?

CE:  16% off; Original price = $350; New price = ?

RR: Multiplication

WO:  16/100 = 0.16

        0.16 x 350 = $56 off

        New price of saddle = $350 - $56

AU:  = $294

JU:  Steve paid $294 for his new saddle.

300

Calculate 3/8 divided by 2/3

3/8 x 3/2

= 3x3/8x2

= 9/16

300

Convert 1/4 to a decimal

25%

300

Use your calculator to solve 9.8 x 3.5

34.3

300

Sarah swims 5/7 of a km and Peter swims 1/7 of a km.  What is the combined distance they swam?

CE: Sarah = 5/7; Peter = 1/7; Combine distance = ?

RR:  Addition

WO:  5/7 + 1/7

        = 5+1/7

AU:   = 6/7km

JU:  The combined distance is 6/7km


300

Calculate 34% of 200

34/100 = 0.34

0.34 x 200

= 68

400

Calculate 1/5 x 2/3

1x2/5x3

=2/15


400

Convert 75% to a decimal

0.75

400

Use your calculator to solve 2.5 - 1.2

1.3

400

Jerry and Springer are climbing Mt. Glorious.  Jerry has climbed 1/5 of the way and Springer has climbed 2/3 of the way.  How much further do they have to go?

CE: Jerry = 1/5; Springer = 2/3; How much further = ?

RR: Addition; Subtraction

WO: 1/5 + 2/3

       = 1 x 3/5 x 3 + 2 x 5/3 x 5

       = 3/15 + 10/15

       = 3 + 10/15

       = 13/15 travelled so far.

How much left? 15/15 - 13/15

                       = 15-13/15

AU:                  = 2/15 left to travel.

JU:  Jerry and Springer have 2/15 left to climb.

400

Odette made a claim that 28% of her pet chickens were male.  She had 145.  How many chickens would be female if her claim was accurate?

CE: 28% male; Total chickens = 145; Female = ?

RR: Multiplication; Subtraction

WO: 28/100 = 0.28

       0.28 x 145 = 40.6 => 40 male

       Number of females = 145 - 40 males

AU:                              = 105

JU: Odette has 105 female chickens.

500

Calculate 3/7 - 1/7


3-1/7

= 2/7

500

Convert 0.80 to a percentage

80%

500

Use your calculator to solve 15.5 divided by 5

3.1

500

Adele ate 7/12 of her lollyjar.  How much does she have left?

5/12

500

Calculate 101% of $550

101/100 = 1.01

1.01 x 550

= $555.50