Fundamentals of Mathematics, 2008a

315
5.6.3.1 Sample Set A
Convert each of the following complex fractions to a simple fraction.
Example 5.20
3
8
15
16
Convert this complex fraction to a simple fraction by performing the indicated division.
3
8
15
16
=
3
8 ÷ 15
=
1
)3
·
)8
1
16
The divisor is 15
16
2
)16
= 1·2
)15 1·5 = 2 5
5
Example 5.21
4
9
6
Write 6 as 6 1
and divide.
4
9
6
1
4
=
9 ÷ 6 1
=
2
)4
9 · 1 = 2·1
)6 9·3 = 2
27
3
Example 5.22
5+ 3 4
46
Simplify the numerator.
4·5+3
4
46
= 20+3
4
46
= 23
4
23
4
46
1
23
=
4 ÷ 46 1
=
Example 5.23
1
4 + 3 8
1
2 + 13
24
46
Write 46 as 46 1 .
1
)23
4 · 1
= 1·1
)46 4·2 = 1 8
2
= 2 8 + 3 8
12
24 + 24
13
1
5
8 ÷ 25
24 = )5
)8
1
Example 5.24
4+ 5 6
7− 1 3
·
= 4·6+5
6
7·3−1
3
Example 5.25
11+ 3 10
4 4 5
= 11·10+3
10
4·5+4
5
= 2+3
8
12+13
24
= 5 8 25
24
3
)24
= 1·3
)25 1·5 = 3 5
5
= 29
6
20
3
= 110+3
10
20+4
5
= 5 8 ÷ 25
24
29
=
6 ÷ 20 3
= 29 ·
)6
2
= 113
10
24
5
1
)3
20 = 29
40
= 113
10 ÷ 24 5
1
113
10 ÷ 24 5 = 113 )5
·
)10 24 = 113·1
2·24 = 113
48 = 2 17
48
2
15
.Invert
16
and multiply.
Available for free at Connexions