Solved Examples and Worksheet for Converting Units within the Customary System

Q1John bought a chain weighing 4 ounces. Express the weight of the chain in pounds.
A. 24
B. 64
C. 14
D. 4

Solutions
Share 
Step: 1
16 ounces = 1 pound
  [Write pound in terms of ounces.]
Step: 2
4 ounces = 416
  [Convert ounces to pounds; Divide 4 by 16.]
Step: 3
= 14 pound
  [Divide numerator and denominator by their GCF, 4.]
Step: 4
The weight of the chain is 14 pound.
Correct Answer is :   14
Q2How many quarts of pear juice are equal to 2 gallons?
A. 8
B. 42
C. 32
D. 16

Solutions
Share 
Step: 1
1 gal = 4 qt
Step: 2
2 gal = 2 ×1 gal
Step: 3
= 2 × 4 qt
  [Substitute.]
Step: 4
= 8 qt
  [Multiply.]
Step: 5
So, 8 quarts of pear juice equal 2 gallons.
Correct Answer is :   8
Q3How many feet are there in 36 inches?

A. 432 feet
B. 3 feet
C. 3.6 feet
D. 360 feet

Solutions
Share 
Step: 1
Here the conversion is from smaller to larger unit, so divide.
Step: 2
12 inches = 1 foot
  [Conversion from inches to foot.]
Step: 3
36 inches = 3612 foot
  [Divide 36 inches by 12 inches, to convert into feet.]
Step: 4
= 3 feet
  [Simplify.]
Step: 5
So, 36 inches are 3 feet.
Correct Answer is :   3 feet
Q4Convert 2652 feet into yards.

A. 889 yards
B. 884 yards
C. 874 yards
D. 894 yards

Solutions
Share 
Step: 1
Here the conversion is from smaller to larger unit, so divide.
Step: 2
3 feet = 1 yard
  [Conversion from feet to yard.]
Step: 3
2652 feet = 26523 yards
  [Divide 2652 feet by 3 feet, to convert into yards.]
Step: 4
= 884 yards
  [Simplify.]
Step: 5
So, 2652 feet are 884 yards.
Correct Answer is :   884 yards
Q5Fill in the blank: 83 yards = _____ feet

A. 239
B. 229
C. 259
D. 249

Solutions
Share 
Step: 1
Here the conversion is from larger to smaller unit, so multiply.
Step: 2
1 yard = 3 feet
  [Conversion from yard to feet.]
Step: 3
83 yards = (83 × 1) yards = (83 × 3) feet
  [Since 1 yard = 3 feet.]
Step: 4
= 249 feet
  [Multiply.]
Step: 5
So, 83 yards equal 249 feet.
Correct Answer is :   249
Q624 cups = ____ pints
Which number fills the blank?
A. 13
B. 12
C. 11
D. 14

Solutions
Share 
Step: 1
Here the conversion is from smaller to larger unit, so divide.
Step: 2
2 cups = 1 pint
  [Conversion from cups to pint.]
Step: 3
24 cups = (242) pints
  [Divide 24 cups by 2 cups, to convert into pints.]
Step: 4
= 12 pints
  [Simplify.]
Step: 5
Among the choices, 12 best fills in the blank.
Correct Answer is :   12
Q7Choose the appropriate number to balance the sentence.
6 pints = ____ cups
A. 11
B. 12
C. 14
D. 13

Solutions
Share 
Step: 1
Here the conversion is from larger to smaller unit, so multiply.
Step: 2
1 pint = 2 cups
  [Conversion from pint to cups.]
Step: 3
6 pints = (6 × 1) pints = (6 × 2) cups
  [Since 1 pint = 2 cups.]
Step: 4
= 12 cups
  [Multiply.]
Step: 5
Among the choices, 12 best fills in the blank.
Correct Answer is :   12
Q85 gallons = ____ quarts

Which number best fills the blank?

A. 10
B. 5
C. 1.25
D. 20

Solutions
Share 
Step: 1
Here the conversion is from larger to smaller unit, so multiply.
Step: 2
1 gallon = 4 quarts
  [Conversion from gallons to quarts.]
Step: 3
5 gallons = (5 × 1) gallons = (5 × 4) quarts
  [Since 1 gallon = 4 quarts.]
Step: 4
= 20 quarts
  [Multiply.]
Step: 5
So, 5 gallons is 20 quarts.
Correct Answer is :   20
Q9How many pints make 2 quarts?

A. 6
B. 8
C. 4
D. 2

Solutions
Share 
Step: 1
1 quart = 2 pints
Step: 2
2 quarts = 2 × 2 pints
  [Substitute 1 quart = 2 pints.]
Step: 3
So, 2 quarts = 4 pints.
  [Multiply.]
Correct Answer is :   4
Q10How many cups make 6 quarts?

A. 12
B. 24
C. 30
D. 18

Solutions
Share 
Step: 1
1 quart = 4 cups.
Step: 2
6 quarts = 6 × 4 cups = 24 cups.
Step: 3
So, 6 quarts make 24 cups.
Correct Answer is :   24

HighSchool Math