Rates & Ratios (4-1 & 4-2)
Write the ratio of 3 apples to 4 oranges in three ways.
3:4
3 to 4
3/4
Solve for x.
18/21 = 24/x
x = 28
A water bottle contains 1.7 L. How many mL is that?
1700 mL
How many pints are in 5.7 gallons?
45.6 pints
When do you use indirect measurement?
To measure something that is too tall to measure (you can't reach)
What is the difference between rate and unit rate?
Rate is a comparison of two numbers, while unit rate is a special type of ratio that compares two quantities measured in different units.
Dad drove 270 miles in 6 hours at a constant speed. How long would it take him to drive 405 miles at the same speed?
9 hours
Jordyn is 134 cm tall. Hailey is 1.45 m tall. Tyler is 1555 mm tall. Write the kids in order from shortest to tallest.
Jordyn, Hailey, Tyler
How many feet are in 744 inches?
62 feet
A map in social studies has a scale of 1 in:100 miles. How far away would 6.5 inches represent?
650 miles
What is the unit rate of 5 candy bars for $1.50?
$.30 per candy bar
Solve for x.
20/x = 4/9
x = 45
How many pounds are in 112 ounces? (HINT: 16 ounces = 1 pound)
7 pounds
How fast is 36 miles per hour in feet per second?
52.8 feet/second
The two triangles are similar. Find x.
x = 30
Mr. Layman drove 383.5 miles in 6.5 hours. What is his average speed?
59 miles per hour
or 59 miles/1 hour
70 ounces of dried fruit costs $5.60. What does one ounce cost?
$.08/ounce
A juice container has a capacity of 3000 mL. How many liters is that?
3L
Sam rode his bike to school at an average speed of 10 miles per hour. What was his speed in feet per minute?
880 feet per minute
or 880 ft/min
On a scale drawing with a scale of 1 cm:3 m, the height of a tree is 5 cm. How tall is the actual tree?
15 m
Find an equivalent ratio: 12 to 10
Some examples of acceptable answers:
6/5, 18/15, 30/25, 36/30, 42/35, 48/40, etc.
Must have two fractions connected by an equal sign
DEFINITION:
fraction in which the numerator and denominator represent the same quantity in different units
VOCABULARY WORD:
unit conversion factor
How many pints are in 10 gallons?
80 pints
A building with a height of 40 feet casts a shadow that is 16 feet long. A person standing next to the building casts a shadow that is 2 feet long. How tall is the person?
5 feet tall