Their sum has the sum of the numerators for its numerator, and the common denominator for its denominator.
Their difference has the difference of the numerators for its numerator, and the common denominator for its denominator.
EXERCISES.
| 1 | + | 1 | + | 1 | - | 1 | = | 53 |
|---|---|---|---|---|---|---|---|---|
| 2 | 3 | 4 | 5 | 60 | ||||
| 44 | - | 153 | = | 18329 | ||||
| 3 | 427 | 1282 | ||||||
| 1 | + | 8 | + | 3 | - | 4 | = | 1834 |
| 10 | 100 | 1000 | 1000 | |||||
| 2 | - | 1 | + | 12 | = | 253 | ||
| 7 | 13 | 91 | ||||||
| 1 | + | 8 | + | 94 | = | 3 | ||
| 2 | 16 | 188 | 2 | |||||
| 163 | - | 97 | = | 93066 | ||||
| 521 | 881 | 459001 |
- Suppose it required to add a whole number to a fraction, for example, 6 to ⁴/₉. By (106) 6 is ⁵⁴/₉, and ⁵⁴/₉ + ⁴/₉ is ⁵⁸/⁹; that is, 6 + ⁴/⁹, or as it is usually written, (6⁴/₉), is ⁵⁸/₉. The rule in this case is: Multiply the whole number by the denominator of the fraction, and to the product add the numerator of the fraction; the sum will be the numerator of the result, and the denominator of the fraction will be its denominator. Thus, (3¼) = ¹³/₄,