(2) Write down 3 in the space for the quotient, directly above the 7. 3 25)875 (3) Now multiply 3 x 25 and write the answer under the 87. (3 x 25 = 75) Write 75 under the 87. 13 25)875 75 (4) Subtract 75 from 87. The difference is 12. Write 12 directly under the 75. 3 25)875 7512 (5) Now "bring down" the 5 from the dividend. The 12 becomes 125. 3 25)875 75125 MD0904 1-10

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(6) Divide 125 by 25. The answer is 5. Write 5 in the space for the quotient, to the right of the 3. 3525)875 75125 (7) Multiply 5 x 25 and write the answer under the 125. (5 x 25 = 125) 2 3525)875 75 125 125(8) Subtract from 125. The difference is zero. Therefore, the quotient is exactly 35. 3525)875 75 125 1250 1-12. PRACTICE 1-3a. Multiply 284 by 12. ____________b. What is the product of 310 and 219? ____________c. Multiply 112 by 82. ____________d. Multiply 527 by 277. ____________e. 331 x 105 = ____________f. Divide 612 by 12. ____________g. Divide 3928 by 491. ____________h. If 3000 is divided by 75, what is the quotient? ____________i. If 360 is divided by 25, what is the quotient? ____________MD0904 1-11

j. Divide 1425 by 15. ____________1-13. ANSWERS TO PRACTICE 1-3 1a.284 b.310 x112x2191568 2790 1284 310 3408 620__ 67890 c.112 d.527 x 82x 277224 3689 1896 3689 9184 1054__ 145979 e. 331 f.51x 10512)612 1655 603310 12 34755 120 g.7 8h.40491)3928 75)3000 39283000 00 000 i.14.4or 1410= 14 2j. 95225)360.0 225)360 25 5 15)1425 2525135110 110 75 10010075100 10 0 1000 MD0904 1-12

Section II. FRACTIONS1-14. DEFINITIONA fraction is less than a whole amount. A whole number may be divided into one or more equal parts. It is expressed by two numbers separated by a line. EXAMPLES: 112452, 3, 3, 5, 6. 1-15. PARTS OF FRACTIONSThe parts of a fraction are the numerator, or upper number, and the denominator, or bottom number. EXAMPLE: In the fraction 1the "1" is the numerator, and 3, the "3" is the denominator. 1-16. KINDS OF FRACTIONSa. A proper fractionhas a numerator that is smallerthan the denominator. EXAMPLES: The fraction 1is a proper fraction because the 4 numerator, “1” is smaller than the denominator. “4.” Other examples are: 13and 72, 4, 8. b. An improper fraction has a numerator that is largerthan the denominator or equal tothe denominator. EXAMPLES: The fraction 4is an improper fraction because 3 the numerator “4” is larger than the denominator “3.” Other examples are 95and 3 2, 3, 3. c. A mixed numberis made up of a whole number and a fraction. EXAMPLES: 2 3is a mixed number because it has a whole 4 number “2” and a fraction “3/4”. Other examples are: 3 1,1 1,and 4 1/8. 4 3 MD0904 1-13

1-17. CHANGING FRACTIONS TO LOWEST POSSIBLE TERMSSome fractions can (and should) be changed (reduced) to their lowest terms. This is done by dividing the numerator and denominator by the same number. This should be the largest possible number that will go into the numerator and denominator. A fraction is said to be at its lowest terms when the numerator and denominator cannot be divided by the same number to arrive at a lower numerator and denominator. EXAMPLE: Reduce the fraction 9