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To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
A Course of Mathematics: For the Use of Academies, as Well as Private Tuition - Page 55
by Charles Hutton - 1818

The Merchant's Magazine: Or Trades Man's Treasury ...

Edward Hatton - Arithmetic - 1719 - 260 pages
...When a mi xt Number is given to be reduced to an improper Fraction, ii.uk. ~\ Multiply the Integers by the Denominator of the Fraction, and to the Product add the Numerator, and place the Sumir» over the Denominator for a new Fraction. Reduce 1-2 ; to an improper Fraction:...

Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Volume 4

William Emerson - Mathematics - 1764
...quantity. Thus ~PROBLEM VIII. To reduce a mixed number to a fraction. RULE. Multiply the integral part by the denominator of the fraction, and to the product add the numerator, under which write the common denominator. Ex. i. т ķ , . .,., ac — ^ . , Let a -- be given. Then...

Encyclopędia Britannica: Or, A Dictionary of Arts ..., Volume 2, Part 1

...other operations. PROBLEM 1. " To reduce mixed numbers to improper fractions ; Multiply the integer by the denominator of the fraction, and to the product add the numerator. The fum is the numerator of the improper fraction fought, and is placed above the given denominator....

A Complete System of Practical Arithmetic, with Various Branches in the ...

William Taylor (teacher of the mathematics.) - Arithmetic - 1800 - 519 pages
...D. for denominator. CASE 5. To reduce any mixed number to an improper fraction, RULE. Multiply the whole number by the denominator of the fraction, and to the product add the numerator for a new numerator, which place over the denominator. EXAMPLE. Reduce гб-J- to an improper fraction....

Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 426 pages
...a — x PROBLEM III. To reduce a mixed quantity to an improper fraction. RULE. Multiply the integer by the denominator of the fraction, and to the product add the numerator ; then the denominator O o nator being placed under this, sum will give the improper fraction required. •'•>...

A Complete Treatise on Arithmetic, Rational and Practical: Wherein the ...

Paul Deighan - Arithmetic - 1804 - 504 pages
...numerator to the afligned denominator. 3. If the wbole number has a Fraction annexed, multiply the whole number by the denominator of the Fraction, and to the product add the numerator, which place over the denominator. EXAMPLES. Aifweri. 25. Reduce 12, 14 and izo to Fractions. '/ '/...

The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - Arithmetic - 1806 - 342 pages
...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 Product add the Numerator for a new Numerator, which place over the Denominator. EXAMPLES. (12\ Reduce 12, 27, and 176, to Fractions....

The American Tutor's Guide: Being a Compendium of Arithmetic. In Six Parts ...

James Thompson - Arithmetic - 1808 - 172 pages
...lowest terms Ļ — .7. II. To reduce a mixed number to an improper Fraction. RULE. — Multiply the whole number by the denominator of the fraction, and to the product add the numerator ”ишder which set the denominator. A whole number may be expressed like a fraction by writing 1 for...

Carleton's Compendium of Practical Arithmetic: Applied to the Federal and ...

Osgood Carleton - Arithmetic - 1810 - 251 pages
...divide) the product will be the true quotient. CASE II. When the divisor is a mixed number. Multiply its whole number by the denominator of the fraction, and to the product add the numerator, for a new diviser ; multiply the dividend by the denominator of the fraction for a new dividend ; divide...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811
...Reduce -J4|- te its lowest terms. Ans. J- . 4. Reduce |4£ to its lowest terms. Ans. -|; CASE II. To Reduce a Mixed Number to its Equivalent Improper Fraction....; then set that sum above the denominator for the fraation required. EXAMPLES. 1 . Reduce 23| to a fraction. 23 115 Or, 2 (23x5)+2 117 , . — = , the...