6 6 4. Change to smallest terms: 6 8 9 2, 4, 8, 1, 15, 10, 12, 12, 12, 12, 12, 12, 3, 21, 33, 4%, 65, 45, 5, 7%, 9%, 7§. 6. 4 is what part of 12? 7. What is of 12? 8. 8 is of what number? 9. Having $15, I spent $5. What per cent of it? 89 I spend? What per cent of my money did I not spend? What part of my money did 16. I had a jointed fishing rod in 3 parts. One part was 2 ft. long, another 23, and another 33. How long was the rod? 17. $56 is of my money. 18. In a school of 48 scholars are there? How much money have I? are girls. How many boys 19. If lb. of coffee costs $.15, what will 2 lb. cost? 20. How many quarter-dollars in $43? 21. There are 72 bananas in a bunch. of them were sold at one time, of them at another, at another. How many remained? 22. 3 is of what number? NUMERATOR AND DENOMINATOR. A fraction is one or more of the equal parts of a unit. 1. What is the expression called? 2. Why is it called a fraction? 3. Into how many parts has the unit been divided? 49 4. In the expression, 2 books, what is the name of the thing mentioned? 5. In the expression 3, what is the name of the thing mentioned? 6. In the expression 3, the 3 tells us that a unit has been divided into thirds. We call the 3 the denominator, which means that which names. 7. In each of the following fractional expressions tell the denominator, and also tell what it shows us: 1, 3, 1, 1, 8, 4, 3, §, 1%, tf. 8. Of the fractional disks, find the one that illustrates thirds. Take two of these thirds. Write that as a fraction. 9. You have written 3. In this expression what does the 2 tell us? 10. The 2 counts or enumerates the number of parts that we have taken of the thirds. We call it the numerator, because it tells us the number of the parts of the unit that we are using. 11. In the following fractions name the numerators, and tell what they show us: 1, 2, 3, §, 11, 1, 4, 5, 12, 18. 12. What is the denominator, and why so called? 13. What is the numerator, and why so called? 14. In the following fractions name both numerator and denominator: f f f fo, fa, b, 1, 3, J. 15. A proper fraction is a fraction whose numerator is less than its denominator, as, . 16. An improper fraction is a fraction whose numerator is equal to or greater than its denominator, as, §. 17. A mixed number consists of a whole number and a fraction, as 2, 4%. NOTE. equals how many sixths? If the pupils do not seem to understand this change, let them continue to illustrate as on pages 22 and 23, or use fractional disks. 8. Subtract: = Why did we change to ? Prove by the fractional disks that is equal to . 14. Learn To add or subtract fractions, change the fractions to equivalent fractions having a common denominator. Add or subtract the numerators for a new numerator, and place it over the common denominator. 52 TO MULTIPLY A FRACTION BY AN INTEGER. 1. If I asked you to multiply 2 books by 4, would you try to multiply the name books, or would you multiply the 2, which tells the number of books? integer, and when possible change the product to an integer or NOTE. Do not change mixed numbers to fractional forms in the following examples. 6 times 2 units are 12 units. 6 times are §, which are 3 units. 12 units and 3 units are 15 units. |