Equivalent
Finish the equivalent fraction:
10 = 30
25 ??
30
75
Because 10 x 3 = 30
Find the difference:
6 - 1
7 3
11
21
Because:
18 - 7
21 21
= 11
21
Find the product:
1 x 8
4 9
2
9
Because 1x8 = 8
and 4x9 = 36
Both divide by 4.
Simplify this fraction:
24
40
3
5
Because 24 = 12 = 6
40 20 10
Flushing a toilet uses 4/6 gallons of water.
Brushing teeth uses 1/12 gallon of water.
Washing hands uses 1/8 gallon of water.
How much water would be used if you did all three?
Adding:
You would use 7/8 gallons of water after flushing, brushing, and washing.
7
8
16 + 2 + 3
24 24 24
= 21
24
Finish the equivalent fraction:
7 = 49
11 ??
49
77
Because 7 x 7 = 49
Find the sum:
1 + 4
10 5
9
10
Because:
1 + 8
10 10
Find the product:
1 and 3 x 7
4 10
1 and 9
40
Because 1 and 3/4 = 7
4
7 x 7
4 10
= 49
40
Simplify:
50
20
2 and 1
2
Because 20 goes into 50 two times (2 wholes).
50 - 20 - 20 = 10
20
2 and 10
20
Adding:
There is 4 and 1/12 cups in the water bottle.
1 and 1 + 2 and 3
3 4
1 and 4 + 2 and 9
12 12
= 3 and 13
12
= 4 and 1
12
Find the equivalent fraction:
8 = ??
9 45
45
Because 9 x 5 = 45
14 + 5
16 8
1 whole and 1/2
Because:
14 + 10
16 16
= 24
16
16 goes into 24 one time, with 8 leftover (24-16=8)
Find the quotient:
8 ÷ 7
11 9
72
77
Because 8 x 9
11 7
Keep - Change - Change
Simplify
5
40
1
8
You find one half of a cake in the fridge. You eat two-fifths of what remains. How many cakes did you eat?
Multiply:
You ate 1/5 of the cake.
1 x 2
2 5
= 2
10
Create equivalent fractions with a common denominator:
7 10
8 12
Common denominator: 24
21 20
24 24
Because 8 x 3 = 24 and 12 x 2 = 24.
(Another common denominator could be 48, 72, or 96)
Find the difference:
3 and 1 - 6
2 7
2 and 9
14
Because
3 and 7 - 12
14 14
Borrow from the wholes:
2 and 21 - 12
14 14
2 and 9
14
Find the quotient:
1 and 3 ÷ 2
5 9
7 and 1
5
Because 1 and 3/5 = 8
5
8 x 9
5 2
= 72
10
Simplify:
121
10
12 and 1
10
10 goes into 121 twelve whole times (10 x 12 = 120).
There is 1 leftover.
Ms. Hickey used 1/5 of her paycheque for groceries. Of those groceries, 1/8 are snacks.
How much of her paycheque did Ms. Hickey spend on snacks?
Multiply: What is 1/8 of 1/5?
Ms. Hickey used 1/40 of her paycheque to buy snacks.
1 x 1
8 5
= 1
40
Create equivalent fractions with a common denominator:
14 2
25 10
Common denominator: 50
28 10
50 50
Because 25 x 2 = 50, and 10 x 5 = 50.
Find the sum:
6 + 5
9 6
1 and 1
2
Because:
24 + 30
36 36
= 54
36
= 1 and 18
36
Find the produect:
1 and 3 x 1 and 4
8 5
2 and 19
40
Because
11 x 9
8 5
= 99
40
Simplify:
48
7
6 and 6
7
A bag of candy has 4 and 1/5 pounds of candy. For Halloween, a family is making treat bags with 1/10 pound of candy in each. How many treat bags can they make?
Divide:
4 and 1/5 ÷ 1/10
They can make exactly 42 treat bags with the candy.
4 and 1 = 21
5 5
21 ÷ 1
5 10
21 x 10
5 1
= 210
5
There are exactly 42 fives in 210.