## A New and Easy Introduction to the Mathematics: Containing. A system of theoretical and practical arithmetic. Rules for the mensuration of superfices and solids. Rules for solving a number of useful and interesting mathematical, philosophical, and chronological problems. A collection of interesting mathematical questions for exercise. Useful tables, &c. Designed for the use of schools, academies, and private learners. I.. II.. III.. IV.. V. |

### From inside the book

Results 1-5 of 28

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**Vulgar**or Common**Fraction**, is expressed by two numbers , placed one above the other , with a line be- tween them ; as 1 , 4 , & c .; the upper number being called the numerator , and the lower number the denominator .-- A mixed number ... Page 110

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**fraction**. Thus , 4 is contained in 9 , two and one - fourth times , and the quo- tient cannot be fully expressed , except by a whole number and a**fraction**.**Fractions**are divided into two kinds , viz .**Vulgar**and Decimal . INTRODUCTION TO ... Page 111

... then only one of them must be divided . Thus , 20 × 8 × 4 = 4 20 4 640 5x8x4 = 160 ; or . = 160 . EXAMPLES . 1. Reduce 144 to its lowest terms . 4 4 INTRODUCTION TO

... then only one of them must be divided . Thus , 20 × 8 × 4 = 4 20 4 640 5x8x4 = 160 ; or . = 160 . EXAMPLES . 1. Reduce 144 to its lowest terms . 4 4 INTRODUCTION TO

**VULGAR FRACTIONS**. 111 A**vulgar fraction**is said to be in its least... Page 112

... fraction by 2 , and it gives 3. I then divide both terms of this fraction by 8 , and it gives ; which I divide in like manner by 3 , and it gives ; and as the terms of this fraction cannot both be divided by any ...

... fraction by 2 , and it gives 3. I then divide both terms of this fraction by 8 , and it gives ; which I divide in like manner by 3 , and it gives ; and as the terms of this fraction cannot both be divided by any ...

**VULGAR FRACTIONS**. Page 113

... , for a denominaton ; and you will have the fraction required . EXAMPLES . 1. Reduce 5 furlongs , 8 rods , to the fraction of a mile . Operation . fur . rd . 5..8 40 Numer . J2 INTRODUCTION TO

... , for a denominaton ; and you will have the fraction required . EXAMPLES . 1. Reduce 5 furlongs , 8 rods , to the fraction of a mile . Operation . fur . rd . 5..8 40 Numer . J2 INTRODUCTION TO

**VULGAR FRACTIONS**. 113 [Brought up.] ...### Other editions - View all

A New and Easy Introduction to the Mathematics (Classic Reprint) Ira Wanzer No preview available - 2017 |

A New and Easy Introduction to the Mathematics (Classic Reprint) Ira Wanzer No preview available - 2017 |

### Common terms and phrases

acres amount of $1 annex annuity annum answer Arithmetic assumed numbers Avoirdupois Bought breadth bush bushels ciphers column common compound interest contains cost cube root currency decimal point defective divisor denotes diameter difference dividend division dollars Dominical Letter equal EXAMPLES federal money foregoing frustum gain gallons given number given quantity given sum greater least common multiple left hand length lower denominations measure method miles minuend mixed number months multiplicand multiply neat weight Note number of days number of terms Operation ounces payment pence piastres pounds present worth principal PROB PROBLEM question quotient figure rate per cent ratio Reduce remainder right hand figure Rule of Three second terms shillings sides simple interest solid content square root subtract subtrahend tare third term tion triangle vulgar fraction whole numbers yards of cloth

### Popular passages

Page 69 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.

Page 70 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.

Page 234 - To reduce an improper fraction to its equivalent whole or mixed number. RULE. — Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.

Page 235 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.

Page 291 - IS the method of finding what quantity of e'ach of the ingredients, whose rates are given, will compose a mixture of a given rate; so that it is the reverse of alligation medial, and may be proved by it. CASE.

Page 356 - The power is applied to the circumference of the wheel, and the weight to the circumference of the axle.

Page 190 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation, for one year, add- it to the principal, and compute the interest on the sum paid, from the time it was paid...

Page 283 - Take a series of as many terms, decreasing by 1, from the given number, out of which the election is to be made, and find the product of all the terms.

Page 272 - When four quantities are in arithmetical proportion, the sum of the extremes is equal to the sum of the two mean terms.

Page 241 - To reduce any given quantity to the fraction of any greater denomination of the same kind. RULE. — Reduce the given quantity to the lowest term mentioned for a.