But if they are reduced to a common denominator, the numerators may be subtracted.

3ac-2e

Ans.

- was changed to +. See Art. VI, example 6th.

sign

XIX. Division of whole numbers by Fractions, and Fractions by

Fractions.

1. How many times is contained in 7 ?

Ans. is contained in 7, 35 times, and is contained as many times; that is, 35 or 11 times.

2. How many times is contained in a ?

Ans. is contained in a, 8 a times, and is contained as many times; that is, .

84

But if they are reduced to a common denominator, the numerators may be subtracted.

α

3. How many times is

contained in c?

is contained b c times in c, and is contained

b

as many times; that is,

bc

α

Arith. Art. XXIII.

α

α

b

Ans. If c is the part of some number,

will be

Ђ

b

Hence, to divide a whole number by a fraction, multiply it by the denominator of the fraction, and divide the product by the numera

tor.

How many times is contained in 7.

is

Solution. Reducing them to a common denominator, 24, and is 25. 44 is contained in 35 as many times as 24 is contained in 35; that is, 2 or 111.