Pre-Algebra Demystified

(c) 7 8 (d) 7 9 Reduce^2184 to lowest terms. (a) 1 4 (b) 7 12 (c) 3 28 (d) 4 1 Reduce^120200 to lowest terms. (a) 12 20 (b) ...

Change^34 to an equivalent fraction in higher terms. (a) 6 24 (b) 18 24 (c) 9 24 (d) 10 24 Change^16 to an equivalent fractio ...

(d) 1 117 Change 5^38 to an improper fraction. (a) 43 8 (b) 23 8 (c) 16 8 (d) 29 8 Change 2^78 to an improper fraction. (a) ...

(b) 1 8 (c) 8 8 (d) 16 8 Write^1010 as a whole number. (a) 10 (b) 100 (c) 0 (d) 1 What number is^07 equal to? (a) 0 (b) 7 (c) 7 ...

CHAPTER 4 Fractions: Part 2 Finding Common Denominators In order to add or subtract two or more fractions, they must have the sa ...

Another method is to list the multiples of the number in the denominator and eventually you will find a common multiple which is ...

 Step 1 Arrange the numbers in the denominators in a row.  Step 2 Divide by the smallest number that divides evenly into two o ...

PRACTICE Find the LCD of each of the following fractions: 1. 1 4 and 3 10 2. 7 20 and 13 24 3. 9 10 and 5 18 4. 3 16 , 7 20 , an ...

1 10 þ 7 10 ¼ 1 þ 7 10 ¼ 8 10 ¼ 4 5 EXAMPLE Add^38 þ^56. SOLUTION Step 1 Find the LCD. It is 24. Step 2 Change the fractions to ...

2. 7 10 þ 2 3 þ 1 5 3. 1 4 þ 5 6 þ 1 3 4. 5 12 þ 3 8 þ 1 6 5. 9 16 þ 3 4 þ 1 2 ANSWERS 1. 8 11 2. 1^1730 3. 1 125 4. 23 24 5. 1^ ...

EXAMPLE Add 4^23 þ 9101 þ 735 : SOLUTION 423 ¼ (^42030) 9101 ¼ 9303 þ 735 ¼ (^71830) 204130 ¼ 20 þ 1 þ^1130 ¼ (^211130) PRACTICE ...

EXAMPLE Subtract 109
^34. SOLUTION 9 10 ¼ 18 20
3 4 ¼ 15 20 3 20 EXAMPLE Subtract^1112
^38. SOLUTION 11 12 ¼ 22 24
3 8 ¼ 9 ...

ANSWERS 1. 1 4 2. 1 3 3. 47 60 4. 13 60 5. 13 24 Subtraction of Mixed Numbers Subtraction of mixed numbers is a little more comp ...

Principles of Borrowing When the fraction in the subtrahend is larger than the fraction in the minuend, it is necessary to borro ...

EXAMPLE Subtract 12^18
234 : SOLUTION 1218 ¼ 1218 ¼ (^1198)
234 ¼ 268 ¼ (^268) (^938) EXAMPLE Subtract 9
615. SOLUTION 9 ¼ ...

ANSWERS 1. 3^18 2. 15^1140 3. 3^12 4. 3 247 5. 5^34 6. 2^47 7. 5 169 8. 6^1324 9. 23 30 10. 8^13 Multiplication of Fractions Mul ...

SOLUTION 11 3 8  4 9 ¼ 3 8  4 9 23 ¼ 1  1 2  3 ¼ 1 6 EXAMPLE Multiply^58 ^23 ^45 SOLUTION 111 5 8  2 3  4 5 ¼ 5 8  2 3 ...

ANSWERS 1. 1 10 2. 3 8 3. 1 12 4. 5 12 5. 2 7 Multiplication of Mixed Numbers Multiplying mixed numbers is similar to multiplyin ...

EXAMPLE Multiply 9 223. SOLUTION 9  223 ¼ 9  8 3 ¼ 9 1  8 3 3 ¼ 9 1  8 3 1 ¼ 3  8 1  1 ¼ 24 1 ¼ 24 EXAMPLE Multiply 1 103 ...

PRACTICE Multiply: 1^18  (^223) 3^56  (^225) 15 1107 2^12  135  (^314) 4^18  623  (^115) ANSWERS 3 9^15 2 ...