standard_description: Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
problem_activity: Problem 1
Look at your yardstick and 12-inch ruler again.
Ms. Cole says that 1 foot is equivalent to
$$\frac{1}{3}$$
yard. Do you agree or disagree? Explain.
Using similar reasoning, determine what fraction of a foot an inch is.
Use your reasoning from Part (a) to solve the following conversions.
$$\frac{2}{3}$$
yard = ______ feet
$$2\frac{1}{3}$$
yards = ______ feet
$$\frac{5}{12}$$
foot = ______ inches
$$3\frac{1}{4}$$
feet = ______ inches
$$4\frac{1}{2}$$
yards = ______ inches
Problem 2
a.  Show or explain how you know
$${{1\over16}}$$
pound =
$$1$$
ounce.
b.  Show or explain how you know
$${1\over4}$$
pound =
$$4$$
ounces.
c.  Show or explain how you know
$$4{3\over8}$$
pounds =
$${67}$$
ounces.
Problem 3
Solve.
a.
$${{1\over4}}$$
gallon = ________ quart
b.
$${{3\over2}}$$
quarts = ________ pints
c.
$${4{1\over2}}$$
pints = ________ cups
d.
$${7{3\over4}}$$
cups = ________ fluid ounces
Problem 4
Solve.
a.
$${{1\over24}}$$
day = ________ hour
b.
$${{13\over60}}$$
hour = ________ minutes
c.
$${2{1\over4}}$$
minutes = ________ seconds
d.
$${3{1\over2}}$$
days = ________ minutes


aligns: no