...of a bushel must cost f of f of a dollar. Now f of i is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator. (Art. 198.) Solution. — £Xf-=i-§-, or -fa dollars, Ans. Hence, 219. To multiply a fraction by a...

...fully the nature of the two steps, he may show them that the work becomes merely the multiplying of the numerators together for a new numerator, and the denominators for a new denominator, and that, without stopping to consider the reason of this, every time they execute the work, all they...

...RULE. Reduce compound fractions to simple ones, and mixed numbers to improper fractions, then multiply the numerators together for a new numerator, and the denominators for a new denominator, which will form the product required. The operation may be sometimes abridged by cancelling. EXAMPLES....

...a bushel must cost f of $ of a dollar. Now -^ of 1 is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator. (Art. 198.) Solution. — lX^—i^, or -fo dollars, Ans. Hence, 219. To multiply a fraction by a fraction....

...write its value at once and in the shortest term i. To multiply one fraction by another, you multiply the numerators together for a new numerator, and the denominators for a new denominator ; their products give the fraction required. Multiply | by |. £ * | = ££, or when reduced to its...

...multiplicand is a fraction, Change whole or mixed numbers (if any) to improper fractions, and multiply the numerators together for a new numerator, and the denominators for a new denominator. To MULTIPLY A FRACTION BY A WHOLE HUMBER. It rotor, or dividing the denominator. When one factor is...

...a subtract . _ .. , (x + a) (x + 6)' To muhi}ify fractional quantities together. Bule. — Multiply the numerators together for a new numerator, and the denominators for a new denominator; and the former of these, being placed over the latter, will give the product of the fraction-, as required.*...

...3 1 1-* -- -- 4(1 -г)1 8 (1-х) 8(1+ а:) 4(1 82. То multiply one fraction by another, multiply the numerators together for a new numerator, and the denominators for a new denominator. /7 f* Suppose that we have to multiply ^ by - : let г=ж» э=У; :>а = Ъх, c = dy, and ac=bdzy¡...

...of a fraction, as £ of ^, is called a Coinpound Fraction. This is reduced to a simple fraction by multiplying the numerators together for a new numerator, and the denominators for a ^ew denominator. It is, in fact, the same as the multiplication of two fractions together. 10. What...

...be multiplied together. Thus, the numerators of the compound fraction f of -^, are to be multiplied together for a new numerator, and the denominators for a new denominator. But since the terms of a ratio may be written fractionally, we may call the expression a compound ratio....