yards; that is, c and i together make up the fifth part of 49 yards.
- c is a certain number of yards, viz. 9; but i is a new sort of quantity, to which hitherto we have never come. It is not an exact number of yards, for it arises from dividing 4 yards into 5 parts, and taking one of those parts. It is the fifth part of 4 yards, and is called a fraction of a yard. It is written thus, ⁴/₅(23), and is what we must add to 9 yards in order to make up the fifth part of 49 yards.
The same reasoning would apply to dividing 49 bushels of corn, or 49 acres of land, into 5 equal parts. We should find for the fifth part of the first, 9 bushels and the fifth part of 4 bushels; and for the second, 9 acres and the fifth part of 4 acres.
We say, then, once for all, that the fifth part of 49 is 9 and ⁴/₅, or 9 + ⁴/₅; which is usually written (9⁴/₅), or if we use signs, 49/5 = (9⁴/₅).
EXERCISES.
What is the seventeenth part of 1237?—Answer, (72-¹³/₁₇).
| What are | 10032 | 663819 | and | 22773399 | ? |
|---|---|---|---|---|---|
| ———, | ———, | ———— | |||
| 1974 | 23710 | 2424 | |||
| Answer , | 162 | 23649 | and | 2343 | . |
| (5 ——), | (27 ———), | (9394 ——) | |||
| 1974 | 23710 | 2424 |