New SAT Math Workbook

4 8 9 9 8 3 1 2 7 which of the following fractions is

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Unformatted text preview: 50 36 1 2 36 50 7 12 3 from 57. 5 Subtract (A) (B) (C) (D) (E) 3 20 Subtract 32 (A) (B) (C) (D) (E) 2 5 3 25 5 2 25 5 3 24 5 1 24 5 24 1 3 5 3 40 7 40 3. The number 582,354 is divisible by (A) (B) (C) (D) (E) 4 5 8 9 10 19 20 Chapter 2 9 10 Simplify 2 1 . + 32 93 (A) 5 93 (B) 35 147 (C) 35 147 (D) 5 97 (E) 35 4− 6. Divide 4 (A) (B) (C) (D) (E) 1 4 1 1 by 1 . 2 8 9. 4 8 9 9 8 3 1 2 7. Which of the following fractions is the largest? (A) (B) (C) (D) (E) 1 2 11 16 5 8 21 32 3 4 11 + ab 10. Find the value of 1 1 when a = 3, b = 4. − ab (A) (B) (C) (D) (E) 7 2 1 1 7 2 7 8. Which of the following fractions is closest to 2 ? 3 11 15 7 10 4 5 1 2 5 6 (A) (B) (C) (D) (E) www.petersons.com Operations with Fractions 21 1. ADDITION AND SUBTRACTION To add or subtract fractions, they must have the same denominator. To add several fractions, this common denominator will be the least number into which each given denominator will divide evenly. Example: Add Solution: The common denominator must contain two factors of 2 to accommodate the 4, and also a factor of 3 and one of 5. That makes the least common denominator 60. Rename each fraction to have 60 as the denominator by dividing the given denominator into 60 and multiplying the quotient by the given numerator. 30 20 15 12 77 17 + ++ = =1 60 60 60 60 60 60 1111 +++ 2345 When only two fractions are being added, a shortcut method can be used: a c ad + bc += . That is, in order to add bd bd two fractions, add the two cross products and place this sum over the product of the given denominators. Example: 47 + 5 12 Solution: 4 (12 ) + 5( 7 ) 5(12 ) = 48 + 35 83 23 = =1 60 60 60 A similar shortcut applies to the subtraction of two fractions: a c ad − bc −= bd bd Example: 4 7 4 (12 ) − 5( 7 ) 48 − 35 13 = = −= 60 5 12 60 5 (12 ) www.petersons.com 22 Chapter 2 Exercise 1 Work out each problem. Circle the letter that appears before your answer. 1. The sum of (A) (B) (C) (D) (E) 2. 6 9 23 12 23 36 6 24 1 2 3 123 + + is 234 4. Subtr...
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