The University Arithmetic : Embracing the Science of Numbers, And Their Numerous Applications

Cover The University Arithmetic : Embracing the Science of Numbers, And Their Numerous Applications
The University Arithmetic : Embracing the Science of Numbers, And Their Numerous Applications
Charles Davies
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120. We have seen (Art. 14), that a denominate number is one in which the kind of unit is denominated or expressed.
For the same reason, a denominate fraction is one which ex- presses the kind of unit that has been divided. Such unit is called the unit of the fraction. Thus, |^ of a j& is a denomi- nate fraction. It expresses that one £ is the unit which has been divided.
Quest. — 120. What is a denominate number? What is ad^Mminate firaction 1 What is the nnit called ? In two-thirds of a pound
...* what is Uie unit oi the fraction ?
RSlMJCTIOir OF DENOMINATE FRACTIONS. 129 The fraction f of a shilling is also a denominate fraction, in which the unit is one shilling. The two fractiaas, f of a £ and f of a shilling, are of different denominations, the unit of the first being one pound, and that of the second, one shilling.
Fractions, therefore, are of the same denomination when Hiey express parts of the same unit, and of different denominations when they express parts of different units.


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