4.3 (Part 1) even Ä even Ä even Ä even Ä even Ä 1. Multiplying Fractions prime Æ prime Æ prime Æ prime Æ prime Æ ‚ " # $ % & ' ( ) * "! "" " " # $ % & ' ( ) * "! "" # # % ' ) "! "# "% "' ") #! ## $ $ ' * "# "& ") #" #% #( $! $$ % % ) "# "' #! #% #) $# $' %! %% & & "! "& #! #& $! $& %! %& &! && ' ' "# ") #% $! $' %# %) &% '! '' ( ( "% #" #) $& %# %* &' '$ (! (( ) ) "' #% $# %! %) &' '% (# )! )) * * ") #( $' %& &% '$ (# )" *! ** "! "! #! $! %! &! '! (! )! *! "!! ""! "" "" ## $$ %% && '' (( )) ** ""! "#" When multiplying fractions, ________. A) change to division B) multiply numerator with numerator and multiply denominator with denominator C) multiply the numerators but add the denominators D) always subtract Multiply each of the following: 2. $ ( † % # 3. • ' "& † #& % Multiply each of the following: 4. $ "' † ) "& 5. * # • †• % #( 6. " * % • † † # ( ") 7. •# •& ' •#" † † † $ "# #& ( 8. $B "#C # † %C *B 9. Œ• $B • %C # 4.3 (Part 2) even Ä even Ä even Ä even Ä even Ä 1. Dividing Fractions prime Æ prime Æ prime Æ prime Æ ‚ " # $ % & ' ( ) * "! "" " " # $ % & ' ( ) * "! "" # # % ' ) "! "# "% "' ") #! ## $ $ ' * "# "& ") #" #% #( $! $$ % % ) "# "' #! #% #) $# $' %! %% & & "! "& #! #& $! $& %! %& &! && ' ' "# ") #% $! $' %# %) &% '! '' ( ( "% #" #) $& %# %* &' '$ (! (( ) ) "' #% $# %! %) &' '% (# )! )) * * ") #( $' %& &% '$ (# )" *! ** "! "! #! $! %! &! '! (! )! *! "!! ""! "" "" ## $$ %% && '' (( )) ** ""! "#" When dividing fractions, ________. A) change to multiplication B) find a common denominator C) subtract numerators and subtract denominators D) always add Divide each of the following: 2. $ ( ƒ % # prime Æ 3. # ƒ) * Divide each of the following: ) "& 4. %ƒ 6. $B 'B ƒ #C %C 5. $' ") ƒ %* #" 7. "%B %C ƒ #!C "&B Applications of Fractions 8. The radius of a circle is one-half of its diameter $ as shown below. If the diameter of a circle is % of an inch, what is the circle's radius? 9. A special on a cruise to Puerto Rico is % being advertised as being of the regular & price. If the regular price is $)(&, what is the sale price? 4.4 Adding and Subtracting Fractions with Like Denominators even Ä even Ä even Ä even Ä even Ä 1. prime Æ prime Æ prime Æ prime Æ prime Æ ‚ " # $ % & ' ( ) * "! "" " " # $ % & ' ( ) * "! "" # # % ' ) "! "# "% "' ") #! ## $ $ ' * "# "& ") #" #% #( $! $$ % % ) "# "' #! #% #) $# $' %! %% & & "! "& #! #& $! $& %! %& &! && ' ' "# ") #% $! $' %# %) &% '! '' ( ( "% #" #) $& %# %* &' '$ (! (( ) ) "' #% $# %! %) &' '% (# )! )) * * ") #( $' %& &% '$ (# )" *! ** "! "! #! $! %! &! '! (! )! *! "!! ""! "" "" ## $$ %% && '' (( )) ** ""! "#" When adding or subtracting, all fractions ________. A) must be proper B) must have different denominators C) must have common denominators D) should be multiples of & Perform the indicated operations and simplify: " ' € % % 3. ' $ € "# "# 5. 2. Add: 4. • Subtract: & $ • % % •"! •) €Œ • $$ $$ Perform the indicated operations and simplify: 6. #B $B € ( ( 8. • 10. 7. %C C • &B &B )B $B #B € € #% #% #% 9. • )+ * • & & 11. "( "% • Œ• • #! #! Find the perimeter of the triangle. Write the fraction as an equivalent fraction with the given denominator. 12. & œ ' 14. %C œ $ 16. 'œ $' "# % 13. ")B œ "$ 15. (B œ #C 17. " œ # #' "!C # %%BC
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