Page 41 - MarceAlgebra Demystified

28 CHAPTER 1 Fractions

14 11 70 33 103
2 1 13
6: 4 þ 2 ¼ þ ¼ þ ¼ ¼ 6
3 5 3 5 15 15 15 15
61 27 122 81 41
3
7: 5 1 3 ¼ ¼ ¼ ¼ 1 17
12 8 12 8 24 24 24 24
When multiplying mixed numbers first convert them to improper fractions,
and then multiply. Multiplying the whole numbers and the fractions is
incorrect because there are really two operations involved—addition and
multiplication:

1 1
1 1
1 4 ¼ 1 þ 4 þ :
2 3 2 3
Convert the mixed numbers to improper fractions before multiplying.
3 13 39 13
1 1 1
1 4 ¼ ¼ ¼ ¼ 6
2 3 2 3 6 2 2

Practice

3
1: 1 2 1 ¼
4 12
3
2: 2 2 ¼
25 7
1 1
3: 2 2 ¼
8 5
1 1
4: 7 1 ¼
2 3
1
5: 3 2 ¼
4 4

Solutions

7 25 175
3
1: 1 2 1 ¼ ¼ ¼ 3 31
4 12 4 12 48 48
52 3 156
3
2: 2 2 ¼ ¼
25 7 25 7 175
17 11 187
1 1 27
3: 2 2 ¼ ¼ ¼ 4
8 5 8 5 40 40