Page 36 - MarceAlgebra Demystified

CHAPTER 1 Fractions 23

Solutions

3 5 9 27
1: ¼ 3 ¼ 3 ¼
5 9 5 5
9
8 4 3 24
2: ¼ 8 ¼ 8 ¼ ¼ 6
4 3 4 4
3
5 5 5 1 5
3: 7 ¼ 2 ¼ ¼
2 7 7 2 14
4 4 4 1 4 2
4: 11 ¼ 2 ¼ ¼ ¼
2 11 11 2 22 11
10 10 4 10 7 70 35
5: 27 ¼ ¼ ¼ ¼
4 27 7 27 4 108 54
7

Mixed Numbers and Improper Fractions

An improper fraction is a fraction whose numerator is larger than its
denominator. For example, 6 is an improper fraction. A mixed number
5
consists of the sum of a whole number and a fraction. For example 1 1 5
1
(which is really 1 þ ) is a mixed number. We will practice going back and
5
forth between the two forms.
To convert a mixed number into an improper fraction, first multiply the
whole number by the fraction’s denominator. Next add this to the
numerator. The sum is the new numerator.

Examples

ð2 25Þþ 6 50 þ 6 56
2 6 ¼ ¼ ¼
25 25 25 25

ð1 9Þþ 2 11
2
1 ¼ ¼
9 9 9
ð4 6Þþ 1 24 þ 1 25
1
4 ¼ ¼ ¼
6 6 6 6