Equivalent Ratios
Fraction TO decimal TO percent
Ratio Tables
Tape Diagrams
Vocabulary
100
Janet has three apples and four oranges. Which of the following is an equivalent ratio to 3 to 4?
A. 4:3
B. 6:12
C. 6:8
C. 6:8
3 and 4 are both multiplied by 2 to get 6 and 8.
100
Convert .42 into a percent
42%
100
How many items can Leah buy for $50?
10 items
100
If there are 8 cats, how many dogs are there?
10
[4x2=8 So, 5 should be multiplied by 2, which is 10.]
100
a comparison between two or more quantities
ratio
200
Mrs Bertrand went to the store and bought 2 bags of chips and 5 energy drinks for her and her siblings to share. Miss Hodge bought 6 bags of chips and 15 energy drinks for her class party. Are the ratios of chips to energy drinks that both girls bought equivalent to each other?
Yes.
Because, 2x3=6 and 5x3=15. Both numbers in Mrs Bertrands ratio can be multiplied by 3 to equal the numbers in Miss Hodges
200
Convert .32 into a fraction
32/100 =8/25
200
If there are 10 green scarfs, how many red scarfs are there according to the ratio table below?
30
[10x3=30 or 6x5=30]
200
If 30 people are wearing vests, how many people are wearing sweaters?
36 people are wearing sweaters.
[30 divided by 5 boxes equals 6. There are 6 boxes for sweaters. 6x6=36.]
200
part of 100
percent
300
Mr Osborne made a caramel iced coffee for Mrs Murdoch. The recipe calls for a 3 cup to 2 cup ratio of milk to ice. Mrs Murdoch decided that she wanted to order another iced coffee just like hers for her friend, Mrs White. Mr Osborne grabbed 6 cups of milk and 4 cups of ice. Mrs Murdoch complained that he did not have the correct amounts, because that was not an equivalent ratio. Is Mrs Murdoch correct in thinking that?
No, Karen is incorrect.
3:2 and 6:4 are both equivalent. 3 and 2 are both multiplied by 2 to get 6 and 4.
300
Convert 9% into a fraction and a decimal
9/100 and .09
300
Find the missing value that should be next to 63. 
45
300
If there are 32 drama DVDs, how many total DVDs are there?
52
[32 divided by 8 boxes equals 4. There are 13 boxes altogether. 13x4=52.]
300
organizes information into horizontal rows and vertical columns
table
400
Which ratio is NOT equivalent to 5:4?
A. 25:20
B. 15:16
C. 30:24
B. 15:16
15:16 is not equivalent to 5:4, because 5 was multiplied by 3 and 4 was multiplied by 4. In order to create an equivalent ratio, both sides must be multiplied by the same number.
400
Convert 7/20 into a percent and decimal.
35% and .35
400
If Jasmine brought $75, how many items can she buy?
She can buy 15 items.
[75 divided by 5 equals 15.]
400
If there are 120 boys, how many children are there altogether?
270
[120 divided by 4 boxes equals 30. There are 9 boxes altogether. 9 x 30 =270.]
400
cost for one item or for one unit of measure
unit cost; unit rate; unit price
500
Miss Dann and Miss Mullane were doing their homework together and comparing notes. The table below was on their homework. Miss Dann said that the missing number beside 14 should be 28. Miss Mullane said that the missing number beside 14 should be 10. Who is correct? And, why?
Miss Mullane is correct, because 7x2=14. So, in the second column 5 should be multiplied by 2, which would equal 10. It looks like Miss Dann got confused and multiplied 14 by two.
500
Convert 63.5% into a fraction (simplify)
635/1000 = 127/200
500
How many screws will John need if he is building 4 shelves? And, how many shelves can he build with 42 screws?
John will need 24 screws to build 4 shelves. And, he can build 7 shelves with 42 screws.
[18 divided by 3 equals 6. So, 4x6=24. And, 42 divided by 6 equals 7.]
500
How much money did Jimmy make?
$400
[There are 12 boxes. Altogether the boxes total $1200. $1200 divided by 12 boxes equals $100. This means that each box equals $100. Jimmy's money is represented by 4 boxes. 4 boxes x $100 equals $400.]
500
math teacher in 6th grade
Miss Hodge