Items related to The tutor's guide; being a complete system of arithmetic;...
The tutor's guide; being a complete system of arithmetic; with various branches in the mathematics ... To which is added, an appendix, containing ... acquittances, bills of exchange, &c. &c. ... - Softcover
Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1806 Excerpt: ... the Numerators together for a new Numerator, and the Denominators for a new Denominator. Reduce the new Fraction to its lowest Terms by the last Case. When it can be done, you may cancel the Fraftions, by dividing the Numerator and Denominator of any two Terms by the same Number, and use the Quotient instead thereof. EXAMPLES. (9) Reduce J of 4 of-r-to a single Fraction. (10, Reduce of-J of 4 to a single Fraction. (U) Reduce of j of-J to a single Fraction. Case 3. To reduce whole or mixed Numbers into an improper Fraction.... RULE. L Jf the whole Number lias no assigned Denominator, an Unity subscribed underneath must be the Denominator. ' 2. If the whole Number has an assigned Denominator, multiply the whole Number by the assigned Denominator, and the Product will be the Numerator to the assigned Denominator. 3. If the whole Number has a Fraction annexed, multiply the whole Number by the Denominator of the Fraction, and to the Prodnct add the Numerator for a new Numerator: which place over the Denominator. EXAMPLES.. (121 Reduce 12, 27, and 176, to Fractions.. (13) Reduce 27 into a Fraction, whose Denominator shall be 12. (14) Reduce 4-to an improper Fraction. (15" Reduce 16 to an improper Fraction. (16) Reduce 1424-J to an improper Fraction. (17) Reduce 146y-Vto an improper Fraction. Case 4. To reduce an improper Fraftion into its equivalent or proper Terms. RULE. Divide the Numerator by the Denominator: the Quotient gives the whole Number, and under the Remainder (if any) subscribe the Denominator. EXAMPLES. (18) Reduce ST o »ts proper Terms. (19 Reduce V to its proper Terms. (20i Reduce 3-J' to its proper Terms. (21) Reduce to its proper Terms. Case.5. To reduce Fractions of different Denominations to Fractions of equal Value, that shall have...
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