140. 11983-1493=?

141. 1786-417,3% =?

142. 6478-8193=?

143. 771-473 =?

MULTIPLICATION OF FRACTIONS.

145. Oral Exercises.

144. At $ a meter what will 4 meters of cloth cost?

Solution. If one meter costs two fifths of a dollar, 4 meters will cost 4 times 2 fifths, or 8 fifths of a dollar.

145.

$x4=$, Ans. (Art. 118 b.)

Alfred has of a dollar and James 4 times as much;

what part of a dollar has James ?

$4 $, Ans. (Art. 118 b.)

=

How can a fraction be multiplied by an integer?

146. Multiply by 3; % by 2;

by 5;

by 4; 3 by 5.

by 2;

by 5; 7 by 9;

by 4.

by 6; 7 by 8;

by 9.

147. Multiply by 3;
148. Multiply by 4; 1 by 10;

Does multiplied by 2 equal 2 multiplied by ?

149. Henry and James each had 1 dollar, and each gave of what he had to William; what part of a dollar did William receive

of $2=?

of 4

of 5?

150. What is of 5 of 7 of 3

151. If John has of a dollar and gives away part of a dollar does he give away?of=

of it, what

12

14

This illustration shows that

of

152. If Oliver has of a dollar and gives away of it, what

part of a dollar does he give away?of=?

153. Mary had 5 quarts of berries, and sold of them; how many quarts did she sell?

Multiply the numerators together for a new numerator,

and the denominators for a new denominator.

NOTE 1. As a mixed number can be reduced to an improper fraction (Art. 131), and an integer expressed as a fraction by writing under it 1 as its denominator, this rule covers all possible cases in Multiplication of Fractions.

NOTE 3. If one of the factors is integral and the other a mixed number, it is shorter to multiply the fraction and the integral part of the mixed number separately, as in Ex. 169.

173. Multiply 6344 by 18.

174. Multiply 683 by 17.

175. What is of of 1 of 81?

176. What is of 3 of 2 of ‡ of § of § of } of § ?

177. What is of off of ?

178. What is of g of 14 of 13 of 13?

179. Multiply 172 by 177.

Ans. 1728.

NOTE 4. As in Ex. 179, if we multiply a fraction by its denominator, the product is its numerator.

180. Multiply 9786 by .

181. At $23 a yard what will 54 yards of broadcloth cost?

182. If an acre of land costs $75, what will 172 acres cost?

183. If a horse is driven 27 miles each day, how far will he go in 173 days?

184. At $7 a cord what will 188 cords of wood cost?

DIVISION OF FRACTIONS.

147. Oral Exercises.

185. How can $ be divided equally among 3 boys? 4÷3=?

Dividing by 3 is equivalent to multiplying by what?

186. How can $ be divided equally between 2 boys?

Dividing by 2 is equivalent to multiplying by what?
How can a fraction be divided by an integer?

187. Divide by 4; If by 5;

188. Divide by 3; by 2; 189. Divide by 4; % by 6;

by 3; by 2; 4 by 3.

by 6; by 6;

by 2; # by 5; # by 3.
by 4.

of a dollar a day, how

190. If James has $2 and spends

many days will it last him?

How many fifths of a dollar are there in $2? How many times is contained in 2? 2÷ }=?

How can an integer be divided by a fraction?