Ratios
Complete the table:
2 apples → 4 oranges;
4 apples → ___ oranges.
8
Are 2/3 and 4/6 equivalent?
Yes, equivalent, 2 x 2 = 4, 3 x 2 = 6
True or False: The ratio 4:7 is the same as 7:4.
False
A classroom has 12 girls and 10 boys. What is the ratio of girls to boys?
12:10 or 6:5
Complete the table:
3 pencils → 5 erasers;
9 pencils → ___ erasers.
15
Are 1/6 and 2/7 equivalent?
Not Equivalent
A student says the ratio of 6 cats to 9 dogs is 2:3. Is the student correct?
Yes
A bag contains 8 red marbles, 6 blue marbles, and 4 green marbles. What is the ratio of blue marbles to total marbles?
6:18 or 1:3
What are the 3 ways we write a ratio?
As a fraction, with a colon, and with the word "to"
Complete the table:
4 red beads → 7 blue beads;
___ red beads → 21 blue beads.
12
Are 4/7 and 36/63 equivalent?
Yes equivalent, 4 x 9 = 36, and 7 x 9 = 63
Which ratio is NOT equivalent to 2:5? A) 4:10 B) 6:15 C) 8:25 D) 10:25
C) 8:25
A recipe uses 2 cups of sugar for every 5 cups of flour. If you use 10 cups of flour, how many cups of sugar will you need?
4 cups
A comparison between two numbers is called a______
ratio
A table shows 2:6, 4:12, and 6:15. Which pair does NOT belong?
6:15
Are 14/15 and 42/45 equivalent?
Yes equivalent, 14 x 3 = 42, 15 x 3 = 45
A student says 3:4 and 9:16 are equivalent because both numbers increased. Explain the mistake.
Both parts must be multiplied or divided by the same number
A pet store has cats and dogs in a ratio of 3:4. If there are 12 cats, how many dogs are there?
16 dogs
A classroom has 15 boys and 20 girls. Write the ratio of boys to all students in three different ways, using simplest form.
3:7, 3/7, 3 to 7
Complete the missing values in this equivalent-ratio table. You should have 3 numbers as an answer!
3:5
9:___
___:25
21:___
15, 15, 35
Two students are making equivalent ratios for 6:8. Emma writes 18:24. Noah writes 24:30. Which student is correct? Explain.
Emma. She multiplied both numbers by 3. Noah did not multiply both numbers by the same factor
Three students give equivalent ratios for 4:6. Ava says 8:12, Ben says 12:18, and Mia says 16:20. Who is incorrect, and why?
Mia. 16:20 is not equivalent to 4:6
A school has 18 students who ride bikes and 24 who walk. Another school has 30 students who ride bikes and 40 who walk. Do both schools have equivalent ratios of bike riders to walkers? Explain.
Yes. 18:24 and 30:40 both simplify to 3:4