Multiplying Fractions
You have 15/4 cups of detergent and use 2/3 of your detergent. How many cups did you use?
2 1/2 or 10/4 or 5/2
you have 15/4 cups of detergent and need 3/4 cups for a load of wash. How many loads can you do?
5 loads
You go on a 120-mile trip and use 5 gallons of gas. Determine how many miles you can go with 1 gallon of gas.
24 miles per gallon
Given the table in practice question 6, use the conversions 1 foot= 12 inches and 1 yard = 3 feet. solve for part a)
36 inches
Units of Observation
units that pertain to a quality or category such as nationality.
You have 14/4 cups of flour and use 1/2 of your flour to make cake. How many cups did you use?
7/4 or 1 3/4
you have 10/4 cups of detergent and need 1/4 cups for a load of wash. How many loads can you do?
10 loads
You go on a 140-mile trip and use 10 gallons of gas. How many gallons you would use on 5 such trips.
50 gallons
given the ratio table from practice question 7, convert 5 feet into inches. We will use the ratios 1ft:12in and 1in:2.54cm
60 inches
units of measurment
units that pertain to a quality such as length, using an agreed upon standard.
You have 10/4 cups of detergent and use 4/5 of your detergent. How many cups did you use?
2
divide 6/10 by 2/10
3
You go on a 150-mile trip and use 10 gallons of gas. Determine how many miles you can go with 1 gallon of gas and how many gallons you would use on 7 such trips.
15 miles per gallon and 70 gallons
using the table in practice question 6, use the conversions 1 foot= 12 inches and 1 yard = 3 feet to solve for b)
4
conversion
a ratio used to compare two different systems of measurement. A conversion indicates a change in units of measurement.
You have 15/4 cups of detergent and use 1/3 of your detergent. How many cups did you use?
5/4 or 1 1/4
divide 15/4 by 2/3.
45/8
You have 10/4 cups of laundry detergent, and your roommate has 8/4 cups. How many cups of laundry detergent do you have combined?
18/4 or 9/2 or 4 1/2
given the ratio table from practice question 7, convert 5 feet into centimeters. We will use the ratios 1ft:12in and 1in:2.54cm
152.4 cm
ratio table
a table that allows one to compare various quantities by listing the qualities involved in columns and the proportional amounts of the quantities in rows.
multiply 5/8 by 4/20.
1/8
divide 3/5 by 5/8
24/25
You have 9/4 cups of laundry detergent, and your roommate has 6/4 cups. If it takes 3/4 cups of detergent to run a load of laundry and you need to wash 4 loads, do you have enough detergent?
yes
using the table from practice question 6, solve for c, d, and e
c)⅓ yards
d)⅔ yards
e)4/3 yards
Conversion factor
the constant of proportionality for a ratio, used to compare two different systems of measurement