Reduce a Fraction to Entire Quantity
Algebra Help: Section 3.5
Learn to reduce any fraction to the form of an entire quantity.
It's evident that if an algebraic quantity is in the form of a fraction, and the fraction in its lowest terms, it will not reduce to an entire quantity by the previous example. But the principle of negative exponents enables us to express the value of any fraction whatever in the form of an entire quantity.
1. Reduce the following fraction to the form of an entire quantity:
a -- c2
OPERATION:
a
-- =
c2
1
a * -- =
c2
a * c-2
Becomes
ac-2
ANALYSIS - It's been shown that a fraction is equal to the product of its numerator into the reciprocal of its denominator. Therefore the expression:
a -- c2
Becomes:
ac-2
This example demonstrates the following rule.
RULE - Reduce the fraction to its lowest terms, and then multiply the numerator by the denominator with the sign of its exponent changed.
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Page 82-83
Help with Algebra Homework
Free tutorials provide math help for math problems. Tutorials start with algebra 1. Algebra tutorials include word problems related to algebra topics, as they're introduced. See the menu, above for algebra math equations, and explanation, by section.
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Windows games, in progress, work with this set of free tutorials, modified
from the public domain text book titled,
New Elementary Algebra
containing the rudiments of the science for schools and academies.
By Horation N Robinison, LL. D. Ivison, Blakeman & Company, Publishers, New York and Chicago.
