21. What does the expression mean? 22. Can be separated into 3 equal parts; thus, , without changing the size of the fractional unit? 23. To what fractional unit must we change before we can separate it into 4 equal parts; that is, take of ? 24. Is 12 the same in value as ? 25. When 12 is separated into 4 equal parts, how many fractional units are there in each part? 26. Then of how many twentieths? = A fractional part of a fraction equals a fraction times a fraction. A fractional part of a fraction is found by multiplying the numerators for the numerator of the product and the denominators for the denominator of the product. Indicate the operation, and cancel when possible. A fractional part of a fraction is sometimes called a compound fraction. Thus, of is a compound fraction. An integer may be expressed in fractional form, thus, NOTE. - Change the mixed number to an improper fraction. mean? 21. What does the expression 22. Can be separated into 3 equal parts; thus, % 16. , without changing the size of the fractional unit? 23. To what fractional unit must we change before we can separate it into 4 equal parts; that is, take of ? 24. Is 13 the same in value as ? 25. When is separated into 4 equal parts, how many fractional units are there in each part? 26. Then of how many twentieths? = A fractional part of a fraction equals a fraction times a A fractional part of a fraction is found by multiplying the numerators for the numerator of the product and the denominators for the denominator of the product. Indicate the operation, and cancel when possible. A fractional part of a fraction is sometimes called a compound fraction. Thus, of is a compound fraction. Find 44. The schedule of a train between two cities is 12 hours, and the train's speed is 35 miles per hour. the distance between the places. 45. Find the number of tons of sugar cane on 19§ acres, if the average number of tons per acre is 11 tons. 46. An automobile's average rate of speed is 25% miles per hour. How far does it travel in 3 hours? 47. Estimate the value for one season of a Vermont sugar camp at $10 per pound if 6 pounds are obtained on an average from each of 1275 maple trees. DIVISION OF FRACTIONS Dividing a fraction by an integer. 1. 155 means that 15 is to be separated into 5 equal parts of 3 units each; and one of the equal parts taken; thus, 15÷ 5 = 3. Explain in the same way what 18÷9 means. 2. 15 means that is to be separated into 5 equal parts of each, and one of the equal parts taken; thus, 18 +5. Which term of the fraction was divided by the integer? = A fraction may be divided by an integer by dividing the numerator of the fraction by the integer. |