Download CA_02_Unit_Conversion_WS3_AS - Maine-Math-in-CTE

Name ___________________________________
Date ______________
Notes
Simplest form – a fraction whose numerator (top number) and denominator (bottom
number) cannot be divided by a common number other than 1. For example,
8
10
is not
in simplest form because both 8 and 10 can be divided by 2. When 8 and 10 are
divided by 2, the result is 4 and 5. Therefore, the simplest form of
8
10
is
4
5
.
1
Mixed number – a whole number and a fraction. For example, 4 2 is a mixed number.
Improper fraction – a fraction where the numerator is larger than the denominator. For
11
example, 4 is an improper fraction.
Product – the result when two numbers are multiplied.
Practice
Set 1 – Reduce each fraction to simplest form.
Ex:
6
12
1
2
=
Ex:
18
27
=
2
3
Ex:
35
28
5
=4
Set 2 – Change each mixed number to an improper fraction.
3
Ex: 2 5 =
13
5
2
Ex: 1 3 =
5
3
1
13
Ex: 3 4 = 4
Set 3 – Change each improper fraction to a mixed number.
Ex:
7
1
3
=
2
2
Ex:
1
13
2
=
6
6
Ex:
3
18
3
=
5
5
Name ___________________________________
Date ______________
Set 4 - Find the product of the given fractions. Be sure to reduce each answer to
simplest form and write it as a mixed number.
3 4
Ex: 5 ∗ 9 =
4
12
45
= 15
1 4 3
12
70
=
6
35
240
6
=
40
Ex: 2 ∗ 5 ∗ 7 =
8 5
Ex: 6∗ 3 ∗ 2 =
Set 5 – Find the product of the given fractions. Be sure to reduce each answer to
simplest form and write it as a mixed number with the appropriate unit.
1 ft
48 yd
1 yd
Ex: 48 in .∗ 12 in . ∗ 3 ft = 36
1lb
52 lb
Ex: 52 oz∗ 16 oz = 16
1 cm
=
13 lb
4
1 dm
1m
=
4 yd
3
1
= 1 3 yd
1
= 3 4 lb
3800 m
Ex: 3800 mm∗ 10 mm ∗ 10 cm ∗ 10 dm = 1000
=
4
19 m
3 m
=
5
5
Name ___________________________________
Set 6 – Use the table below to find each answer.
Time Measure Equivalents
1 minute (min)
60 seconds (sec)
1 hour (hr)
60 minutes
1 day (d)
24 hours
1 week (wk)
7 days
1 year (yr)
12 months (mo)
1 year
52 weeks
1 year
365 days
Ex: How many seconds are in 2.5 days?
2.5 d∗
24 hr 60 min 60 sec
216,000 sec
∗
∗
1d
1 hr
1 min =
Ex: How many years are in 65 weeks?
65 wk∗
65 yr
5 yr
1 yr
1
1 yr
=
=
=
52
4
52 wk
4
Ex: How many minutes are in the month of April?
30 d∗
24 hr 60 min
∗
1d
1 hr
= 43, 200 min
Date ______________