1. EQUIVALENT RATIOS

2. Equivalent ratios
A ratio is a relationship in which for every "x" units of one quantity there are "y" units of another quantity.
The quantities x and y are the terms of the ratio.

3. Equivalent ratios 2 : 1 2/1 2 to 1 You use ratios to make comparisons.
The ratio of the number of circles to the number of squares can be written in three ways:

4. Write each ratio in three ways:
The number of solid-covered balls to the number of striped balls.
The number of even-numbered balls to the number of odd-numbered balls.
Equivalent ratios

5. Equivalent ratios
Equivalent ratios are ratios that express the same relationship.
You can find equivalent ratios by multiplying or dividing each term of the ratio by the same number (except 0 !). ? = =

6. Equivalent ratios This model shows the ratio 2 to 6.
2 blue circles to 6 red squares

7. Equivalent ratios
To find an equivalent ratio by multiplying, multiply each term of the ratio by the same nonzero number.
You can multiply each term by 2. First, multiply 2 by 2. Then, multiply 6 by 2.
The ratio 2 to 6 and 4 to 12 are equivalent ratios.

8. Equivalent ratios
To find an equivalent ratio by dividing, divide each term of the ratio by the same nonzero number.
You can divide each term by 2. First, divide 2 by 2. Then, divide 6 by 2.
The ratio 2 to 6 and 1 to 3 are equivalent ratios.

9. So, the ratios 1/3 , 2/6 , and 4/12 are all equivalent.
Equivalent ratios
So, the ratios 1/3 , 2/6 , and 4/12 are all equivalent.

10. Equivalent ratios PET SUPPLIES SUPPLY KITTEN ADULT CAT Food (bags) 8
You volunteer at an animal shelter and need to order supplies. You know that the ratio of kitten supplies to adult cat supplies for each category is equivalent. Complete the table.
PET SUPPLIES
SUPPLY
KITTEN
ADULT CAT
Food (bags) 8
Treats (bags) 42 56
Food (cans)
126

11. Equivalent ratios
Find a ratio equivalent to 12/15 with lesser terms.

12. Equivalent ratios Equivalent ratios have the same simplest form.
To write a ratio in simplest form, first write it as a fraction.
Then divide the numerator and the denominator by their greatest common factor (GCF).

13. Equivalent ratios
When the two terms of a ratio have the same unit of measure, the units cancel out.

14. Equivalent ratios
You make a banner 6 feet long to hang behind the desk at the animal shelter. Your friend makes a banner 6 yards long to hang on the outside of the building. Write the ratio of the length of your banner to the length of your friend’s banner as a fraction in simplest form.

15. Equivalent ratios
A kitten weighs 12 ounces. A puppy weighs 3 pounds. Write the ratio of the kitten’s weight to the puppy’s weight as a fraction in simplest form.

16. Equivalent Ratios Write the ratio as a fraction in simplest form.
6 feet to 8 yards
10 ounces to 7 pounds
9 feet to 12 yards
28 inches to 8 feet
3 yards 12 inches to 6 yards
45 minutes to 3 hours

17. Equivalent ratios
An Internet, telephone, and cable TV package plan costs $90 each month. The Internet part of the bill is $19. The telephone part of the bill is $18. Write the ratio of the Internet bill to the cable TV bill in three different ways.

18. 3 4 2 5 5 10 50

19. 4 20 3 12 __ __ __ __ = = x x 25 16
x = ?
x = ? 20 __ 10 __ = x 30
x = ?
HW: Equivalent Ratios Worksheet