REAL  QUIZ 6 DUE  TUESDAY 3/06.   Note: The fractions below we write with a forward slash,  i.e., 1/2 means one half, 3/4 means three -fourths, etc. Also we use the symbol " % " for division. Reduce results to lowest terms if possible. Also * means multiplication

Sec. 4.3

1.  Multiply. Write product in lowest terms. (-3/8)*(-12/5)

2.  Multiply. Write product in lowest terms. 2/3 of 48. Hint: What mathematical operation does  "of" represent?

3.  Divide. Write the quotient in lowest terms. 
8x2 % (4x/7).  This is read "8x2 divided by 4x/7."
4.  Maria Jones estimates it will cost her $6,200 to attend a community college for one semester. She thinks she can earn 3/5 of the cost and borrow the remainder. (a) Find the amount she must earn. (b) Find the amount she must borrow. Hint: What mathematical operation does  "of" represent? 

Sec. 4.4

5.   Same denominator (like fractions). Simplify. Reduce to lowest terms where possible.
(a) -7/20 - 3/20
(b) 3/b2 + 7/b2  .

6.   Different denominators (unlike fractions).   i

 (a) Add 5/6 + 7/16. Reduce to lowest terms if possible. (Hint: See examples 3, 4 and 5 . Use prime factorization

 to find the LCD.  Write 6 = 2*3  and 16 = 2*2*2*2.  The prime factors are 2 and 3. Find the greatest  number of

 times each prime  factor appears in  each  of the two factorizations.  The greatest number of times 2 appears is 4

 times:  16 = 2*2*2*2. ( 2 only appears once  in the  factorization  6 = 2*3) The greatest number  of times 3 appears

 is  once: 6 = 2*3  (3 does not appear in the  factorization of 16 = 2*2*2*2) . THUS. LCD = 2*2*2*2*3. Simplify this

 product and add as shown in the examples. 

(b) Add 2/5 + c/3.  Reduce to lowest terms if possible. (Hint: See exercise #19)

7.   Add.  Write answer in lowest terms if possible. 7/10 + 7/15
8.   Subtract.  Write answer in  lowest terms if possible.  7/m - 1/2 . (Hint: See example 5(b) and exercise 21.)

Sec. 4.5.

9.  Write each mixed number as an improper fraction (a) 2 1/4  (Read 2 and 1/4.) (b) -4  5/7  Hint: Here is an example:  If we had 6  2/3 we write the numerator as 6*3 + 2 = 18 + 2 = 20; thus 6  2/3 = 20/3. Note this is reduced to lowest terms!      
10.  WRITE AS A MIXED NUMBER.  11/2   
11.  Find the exact answer: 
(a) Find the product of these mixed numbers.  (1  1/2)*(3  3/4).  Read  (1 and 1/2)  times  (3 and 3/4) 
(b) Find the quotient of these mixed numbers.  ( 2  1/4) % (1  1/8).  Note:  % means division  as mentioned at  top of quiz.
12.   Find the exact answer: (4  4/5) + (2  1/3).  Read (4 and 4/ 5)  +  (2 and 1/3).