Unit Conversions Review 2 (Mixed Units) Solution

Student Academic Learning Services
Page 1 of 2
Unit Conversion Review
Mixed Imperial to Metric
Convert the following:
a) 8 pounds 9 ounces b) 9 feet 5¾ inches
to kilograms
to metres
c) 12 stone 5 pounds
to kilograms
Step 1: Convert the first
imperial unit to metric
Relation: 1 kg = 2.2 lb
Relation: 1 st. = 6.35 kg
8 𝑙𝑏 ×
Step 3: Add them together
www.durhamcollege.ca/sals
9 𝑓𝑑 ×
1π‘š
3.28 𝑓𝑑
6.35 π‘˜π‘”
1 𝑠𝑑.
= 12 × 6.35 π‘˜π‘”
= 76.2 π‘˜π‘”
12 𝑠𝑑.×
8
π‘˜π‘”
2.2
= 3.63 π‘˜π‘”
=
Relation: 1 kg = 35.3 oz
Relation: 1 m = 39.35 in
1 π‘˜π‘”
9 π‘œπ‘§ ×
35.3 π‘œπ‘§
9
=
π‘˜π‘”
35.3
= 0.255 π‘˜π‘”
5 ¾ in = 5.75 in
=
3.63 π‘˜π‘” + 0.255 π‘˜π‘”
= 3.89 π‘˜π‘”
2.74 π‘š + 0.146 π‘š
= 2.886 π‘š
=
Step 2: Convert the second
imperial unit to metric
1 π‘˜π‘”
2.2 𝑙𝑏
Relation: 1 m = 3.28 ft
9
π‘š
3.28
= 2.74 π‘š
5.75 𝑖𝑛 ×
1π‘š
39.35 𝑖𝑛
5.75
π‘š
39.35
= 0.146 π‘š
Relation: 1 kg = 2.2 lb
5 𝑙𝑏 ×
1 π‘˜π‘”
2.2 𝑙𝑏
5
π‘˜π‘”
2.2
= 2.27 π‘˜π‘”
=
76.2 π‘˜π‘” + 2.27π‘˜π‘”
= 78.47 π‘˜π‘”
Student Services Building (SSB), Room 204
905.721.2000 ext. 2491
This document last updated: 7/27/2011
Student Academic Learning Services
Page 2 of 2
Metric to Mixed Imperial
Convert the following:
Step 1: Convert original to
large imperial unit as a
decimal
Step 2: Convert decimal
portion to small imperial unit
Step 3: Round decimal portion
from step 2 to a fraction if
necessary
a) 1.25 m to feet
and inches
1.25 π‘š ×
= 4.1 𝑓𝑑
0.1 𝑓𝑑 ×
= 1.2 𝑖𝑛
3.28 𝑓𝑑
1π‘š
12 𝑖𝑛
1 𝑓𝑑
No fraction necessary.
Just round to nearest
inch:
1.2 𝑖𝑛 β‰ˆ 1 𝑖𝑛
Step 4: Combine to make the
final answer.
www.durhamcollege.ca/sals
1.25 m = 4 ft 1 in
b) 3.8 kg to pounds
and ounces
2.2 𝑙𝑏
1 π‘˜π‘”
= 8.36 𝑙𝑏
3.8 π‘˜π‘” ×
0.36 𝑙𝑏 ×
= 5.76 π‘œπ‘§
1 𝑓𝑑
30.48 π‘π‘š
0.38 𝑓𝑑 ×
12 𝑖𝑛
1 𝑓𝑑
= 4.56 𝑖𝑛
No fraction necessary.
Round to nearest ounce:
3.8 kg = 8 lb 6 in
225 π‘π‘š ×
= 7.38 𝑓𝑑
16 π‘œπ‘§
1 𝑙𝑏
5.76 𝑖𝑛 β‰ˆ 6 𝑖𝑛
c) 225 cm to feet and
inches rounded to
nearest 8th of an inch
8
0.56 𝑖𝑛 ×
8
4.48
=
𝑖𝑛
8
4
β‰ˆ 𝑖𝑛
8
225 π‘π‘š = 7 𝑓𝑑 4 4οΏ½8 𝑖𝑛
Student Services Building (SSB), Room 204
905.721.2000 ext. 2491
This document last updated: 7/27/2011