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Example 1<br />
Adding <strong>Rational</strong> <strong>Number</strong>s in Fraction and Mixed <strong>Number</strong> Form<br />
Evaluate.<br />
5<br />
1 1<br />
a) a 7 b) 2<br />
8 2 b<br />
4 6<br />
A Solution<br />
5<br />
a) a 7 8 2 b<br />
The denominators are compatible, so use a number line.<br />
7<br />
5<br />
7<br />
To add , start at then move to the left.<br />
2<br />
8<br />
2<br />
–<br />
1<br />
2<br />
–<br />
1<br />
2<br />
–<br />
1<br />
2<br />
–<br />
1<br />
2<br />
–<br />
1<br />
2<br />
–<br />
1<br />
2<br />
–<br />
1<br />
2<br />
1<br />
–4<br />
8<br />
–3<br />
–2<br />
–1<br />
–<br />
5<br />
8<br />
0<br />
5<br />
1<br />
a 7 4<br />
8 2 b 8<br />
1 1<br />
b) 2<br />
4 6<br />
1<br />
13<br />
Write the mixed number 2 as the improper fraction ,<br />
6<br />
6<br />
then write the fractions with a common denominator of 12.<br />
1 1 3 26<br />
Then, 2 <br />
4 6 12 12<br />
3 26<br />
<br />
12<br />
23<br />
,or 1 11<br />
12 12<br />
108 UNIT 3: <strong>Rational</strong> <strong>Number</strong>s
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