PROBLEMS ON SIMPLIFYING COMPLEX FRACTIONS
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Evaluate each expression.
Problem 1 :
Solution :
Given, 2 + 23-65路 (-2)= 2 + 23 脳 -56 路 (-2)= 2 + 13 脳 -53 路 (-2)= 2 - 59路 (-2)= 2 + 109 = 21+ 109 = 21 脳 99+ 109 = 189 + 109= 289
Problem 2 :
-116 - 74(-2) - 1
Solution :
Given, -116 - 74(-2) - 1= -116 脳 22 - 74 脳 33-3= -2212 - 2112-3= -2212 - 2112 脳 -13= -4312 脳 -13= 4336
Problem 3 :
-43 - 22 路 -25
Solution :
Given, -43 - 22 路 -25= -43 - 212 路 -25= -43 - 21 脳 33-45= -43 - 63 -45 = -103 -45= -103 脳 -54= 5012= 256
Problem 4 :
-56 + 213 - 45
Solution :
Given, -56 + 213 - 45= -56 + 213 脳 55 - 45 脳 33= -56 + 2515 - 1215= -56 + 25 - 1215= -56 + 2 -715= -56 + 2 脳 -157 = -56 - 307 = -56 脳 77 - 307 脳 66= -3542 - 18042 = -21542
Problem 5 :
1162- 2-12
Solution :
Given,1162- 2-12= 12136- 2-12= 12136- 21-12= 12136- 21 脳 3636-12= 12136- 7236-12= 4936-12= 4936 脳 -21= -9836= -4918
Problem 6 :
-85 - -53 路 116-32
Solution :
Given, -85 - -53 路 116-32= -85 + 5518-32= -85 脳 1818 + 5518 脳 55-32= -14490 + 27590-32= 13190-32= 13190 脳 -23= -262270= -131135
Problem 7 :
-32 + -54 + 1412
Solution :
Given, -32 + -54 + 1412= -32 + -44 12= -32 + -1 12= -32 + (-1 脳 2)= -32 - 2=-32 - 21 脳 22= -32 - 42= -3 - 42= -72
Problem 8 :
-525 + 74 路 2
Solution :
Given, -525 + 74 路 2= -525 + 144 = -525 脳 44 + 144 脳 55 = -5820 + 7020 = -58 + 7020= -5 7820= -51 脳 2078= -10078= -5039
Problem 9 :
23 - 53-13 - -95 - 32
Solution :
Given, 23 - 53-13 - -95 - 32= 2 - 53-13 脳 55 - -95 脳 33 - 32= -33-515 - -2715 - 32= -33 -5 + 2715 - 32= -1 2215 - 32= -11 脳 1522 - 32= -1522 - 32= -1522 - 32 脳 1111= -1522 - 3322= -15 - 3322 = -4822= -2411
Problem 10 :
-43 - 7512 - (-1) 路 (-1)
Solution :
Given, -43 - 7512 - (-1) 路 (-1)= -43 - 7512 + 1 路 (-1)= -43 - 7512 + 11 路 (-1)= -43 - 7512 + 11 脳 22 路 (-1)= -43 - 7512 + 22 路 (-1)= -43 - 75 32 路 (-1)= -43 - 75 脳 23路 (-1)= -43 - 1415 路 (-1)= -43 + 1415= -43 脳 55 + 1415= -2015 + 1415= -20 + 1415= -615= -25
Problem 11 :
-32 路 -35 - 5(-1) - -12
Solution :
Given, -32 路 -35 - 5(-1) - -12= -32 路 -35 - 51-1 + 12= -32 路 -35 - 51 脳 55-1 + 12= -32 路 -35 - 255-1 + 12= -32 路 -35 - 255-11 + 12= -32 路 -35 - 255-11 脳 22 + 12= -32 路 (-3 - 25)5-11 脳 22 + 12= -32 路 -285-22 + 12= -32 路 -285-12= -32 路-285 脳 -21= -32 路565= -16810 = -845
Problem 12 :
43 路 (-1)-16 - 12
Solution :
Given, 43 路 (-1)-16 - 12= -43-16 - 112= -43-16 - 11 脳 662= -43-16 - 662= -43 -762= -43 4936= -43 脳 3649= -41 脳 1249 = -4849
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