SME
Grade 6 Math · Problem type
Convert units using rates
Use this for “How many quarts is 200 fluid ounces?” with 32 fluid ounces in a quart.
Diagram
Amount in the bigger unit: 6.25 on the top line sits over 200 on the bottom line: each 1 above is 32 below.
This is an example. Type your own values to start a new problem.
a
×
k
=
b
Formulas
6.25 × 32 = 200
Amount in the bigger unit × rate = amount in the smaller unit
Assumptions
•
A conversion is a rate: how many smaller units are in 1 bigger unit (1 mile = 1,760 yards).
•
To the smaller unit, multiply by the rate. To the bigger unit, divide by it.
•
The double number line keeps the two amounts in the same ratio.
Step-by-step
WE KNOW
Amount in the smaller unit: 200
Smaller units in 1 bigger unit: 32
FIND
amount in the bigger unit
Step 1 · Find amount in the bigger unit
? × 32 = 200
Amount in the bigger unit × rate = amount in the smaller unit
How many groups of the rate fit in the amount? Divide by the rate.
Amount in the bigger unit = 200 ÷ 32
6
.
2
5
32
)
2
0
0
.
0
0
−
1
9
2
8
0
−
6
4
1
6
0
−
1
6
0
0
Amount in the bigger unit = 6.25
Check
Put the numbers back in. Both sides should match.
6.25 × 32 = 200 ✓
Topic check
See what you know: 5 questions on this topic
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