Page 32 - MarceAlgebra Demystified

CHAPTER 1 Fractions 19

Whole Number-Fraction Arithmetic

A whole number can be written as a fraction whose denominator is 1. With
this in mind, we can see that addition and subtraction of whole numbers and
fractions are nothing new. To add a whole number to a fraction, multiply
the whole number by the fraction’s denominator. Add this product to the
fraction’s numerator. The sum will be the new numerator.

Example

7 ð3 8Þþ 7 24 þ 7 31
3 þ ¼ ¼ ¼
8 8 8 8

Practice

1
1: 4 þ ¼
3
2
2: 5 þ ¼
11

8
3: 1 þ ¼
9
2
4: 2 þ ¼
5
6
5: 3 þ ¼
7

Solutions

1 ð4 3Þþ 1 12 þ 1 13
1: 4 þ ¼ ¼ ¼
3 3 3 3
2 ð5 11Þþ 2 55 þ 2 57
2: 5 þ ¼ ¼ ¼
11 11 11 11
8 ð1 9Þþ 8 17
3: 1 þ ¼ ¼
9 9 9