Equivalent Ratios
Fill in the blank: 2:3 = 4:____
6
Explanation:
2 × 2 = 4, so 3 × 2 = 6.
Write 1/2 as a decimal.
0.5
Explanation:
Divide 1 ÷ 2 = 0.5.
Write 5/4 as a decimal.
1.25
Explanation:
5 ÷ 4 = 1.25.
8 × 12 = ?
96
Explanation:
8 × 10 = 80. 8 × 2 = 16. 80 + 16 = 96.
A bag has 20 candies. 5 are red. What fraction of the bag is red? Write it in simplest form.
1/4
Explanation:
5/20. Divide the top and bottom by 5.
Write 12:16 in simplest form.
3:4
Explanation:
Divide both numbers by 4.
Write 0.75 as a fraction in simplest form.
3/4
Explanation:
0.75 = 75/100. Divide the top and bottom by 25.
Write 1.5 as an improper fraction in simplest form.
3/2
Explanation:
1.5 = 15/10. Divide the top and bottom by 5.
144 ÷ 12 = ?
12
Explanation:
12 × 12 = 144.
One piece of candy costs $0.25. How much do 6 pieces cost?
$1.50
Explanation:
4 quarters make $1.00. 2 more quarters make $0.50. Total: $1.50.
A recipe uses 3 cups of flour for every 2 cups of sugar. How many cups of flour go with 8 cups of sugar?
12 cups of flour
Explanation:
Sugar goes from 2 to 8, so multiply by 4. Flour: 3 × 4 = 12.
Write 3/8 as a decimal.
0.375
Explanation:
Divide 3 ÷ 8 = 0.375.
Write 9/5 as a decimal.
1.8
Explanation:
9 ÷ 5 = 1.8.
3.2 × 4 = ?
12.8
Explanation:
Multiply 32 × 4 = 128. The factor 3.2 has one decimal place, so the answer has one: 12.8.
A mix has 3 sour candies for every 5 sweet candies. There are 15 sweet candies. How many sour candies are there?
9 sour candies
Explanation:
Sweet goes from 5 to 15, so multiply by 3.
Sour: 3 × 3 = 9.
Is 8:12 equivalent to 10:16? Explain how you know.
No
Explanation:
8:12 simplifies to 2:3. 10:16 simplifies to 5:8. 2:3 and 5:8 are different ratios.
Order from least to greatest: 0.6, 1/2, 3/4, 0.45
0.45, 1/2, 0.6, 3/4
Explanation:
Change every number to a decimal: 0.6, 0.5, 0.75, 0.45. Order: 0.45, 0.5, 0.6, 0.75.
Write 2.75 as an improper fraction in simplest form.
11/4
Explanation:
2.75 = 275/100. Divide the top and bottom by 25.
2/3 × 3/4 = ?
1/2
Explanation:
Top × top: 2 × 3 = 6.
Bottom × bottom: 3 × 4 = 12.
6/12 simplifies to 1/2.
Ana has 1/2 pound of chocolate. She splits it equally among 4 friends. How much does each friend get?
1/8
Explanation:
1/2 ÷ 4 = 1/2 × 1/4 = 1/8.
A runner completes 4 laps in 6 minutes at a constant rate. How many laps does the runner complete in 15 minutes?
10 laps
Explanation:
4:6 simplifies to 2:3, so 2 laps every 3 minutes. 15 minutes is 5 groups of 3 minutes. 5 × 2 = 10.
Which is greater, 5/6 or 0.8? Show how you know.
5/6
Explanation:
5 ÷ 6 = 0.8333... 0.8333 is greater than 0.8.
Order from least to greatest: 7/4, 1.6, 5/3, 1.7
1.6, 5/3, 1.7, 7/4
Explanation:
Change each to a decimal: 1.75, 1.6, 1.666..., 1.7. Order: 1.6, 1.666..., 1.7, 1.75.
3/4 ÷ 1/2 = ?
1 1/2
Explanation:
Keep, change, flip: 3/4 × 2/1 = 6/4. 6/4 = 1 2/4 = 1 1/2.
3 candy bars cost $4.50. At the same rate, how much do 5 candy bars cost?
$7.50
Explanation:
$4.50 ÷ 3 = $1.50 per bar. $1.50 × 5 = $7.50.