Metric and Non-Metric
Conversion Problems
Metric to Metric
Conversions
Q 1) Convert
5 meters to
centimeters.
Conversion
Factor(s):
1 m = 100 cm
3 Step Solution:
1. Start with the given, in
this example it’s 5 m.
2. Use the conversion factor
and make a fraction from
it such that it cancels out
the known unit.
3. Cancel out numbers and
units to get the unknown.
You can make two fractions from the
conversion factor (1m = 100cm).
1m
100 cm
OR
100 cm
1m
Our aim is to cancel out the meters
and retain the Cm in the final answer.
So setup the problem by using the
second fraction.
Metric to Metric
Conversions
Q 1) Convert
5 meters to
centimeters.
Conversion
Factor(s):
1 m = 100 cm
Solution:
100 cm
5m 
 500 cm
1m
Metric to Metric
Conversions
Q 2) Convert
0.5 meters to
millimeters.
Conversion
Factor(s):
1 m = 100 cm
1 cm = 10 mm
Solution:
Metric to Metric
Conversions
Q 3) Convert
750 meters to
kilometers.
Conversion
Factor(s):
1 km = 1000 m
Solution:
1km
750m 
1000m
750

km  0.75km
1000
1000 m
750 m 
?
1km
Metric to Metric
Conversions
Q 4) Convert
50 milligrams to
kilograms.
Conversion
Factor(s):
1 kg = 1000 g
1 g = 1000 mg
Solution:
Mixed Conversions
Q 5) Convert
175 centimeters to
feet.
Conversion
Factor(s):
1 ft = 30 cm
Solution:
1 ft
175cm 
30cm
 5.83 ft
Mixed Conversions
Q 6) Convert
80 kilograms to
pounds.
Conversion
Factor(s):
1 kg = 2.2 lb
Solution:
Mixed Conversions
Solution:
Q 7) Convert
1mile to yards.
Conversion
Factor(s):
1 mile = 1609 m
1 m = 1.1 yards
1609m 1.1yards
1m ile

1m ile
1m
 1769.9 yards
Mixed Conversions
Q 8) You paid $62
to fill a tank at
$3.95 per gallon.
Your car gives 28
miles/gallon. How
far can you drive?
Conversion
Factor(s):
Solution:
Mixed Conversions
Q 9) Convert 60
ounces to
kilograms.
Conversion
Factor(s):
1 oz = 28 g
1kg = 1000 g
Solution:
28g 1kg
60oz 

1oz 1000g
 1.68kg
Mixed Conversions
Q 10) Convert 100
mph to kmph.
Conversion
Factor(s):
5 miles = 8 km
Solution:
Mixed Conversions
Q 11) Convert 100
mph to meters per
second.
Conversion
Factor(s):
1 mile = 1609 m
1 h = 3600 s
Solution:
100miles 1609m
1h


1h
1mile 3600s
 44.69m / s
Mixed Conversions
Q 12) Convert 6
feet 3 inches to
meters.
Conversion
Factor(s):
1 m = 3.3 ft
1 inch = 2.54 cm
1 m = 100 cm
Solution:
Mixed Conversions
Q 13) How many
seconds are there
in a day?
Conversion
Factor(s):
Solution:
24h 60 min 60s
1d 


1d
1h
1 min
 86,400s
Mixed Conversions
Q 14) Calculate the
number of days a
person of age 16
years, 3 months,
and 2 weeks has
lived so far.
Conversion
Factor(s):
As usual
Solution:
Mixed Conversions
Q 15) If a persons’
heart beats 72
times per minute,
how many times
does his heart beat
in one day?
Conversion
Factor(s):
As usual
Solution:
72beats 60 min 24h


1 min
1h
1d
 103,680beats/ day