...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...

...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....

...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...

...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...

...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....

...be multiplied together. Thus, the numerators of the compound fraction f of J^, aw 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....

...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...

...multiplied together. Thus, the numerators of the compound fraction £ of -*^, ars 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....

...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....

...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¡...