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please awnser i fraction form 4 3/4 times 3 3/5 times 15
4 months ago
Q:
please awnser i fraction form 4 3/4 times 3 3/5 times 15
Accepted Solution
A:
Simplify the following:
(4 + 3/4) (3 + 3/5)Γ15
Put 3 + 3/5 over the common denominator 5. 3 + 3/5 = (5Γ3)/5 + 3/5:
(4 + 3/4) (5Γ3)/5 + 3/5 15
5Γ3 = 15:
(4 + 3/4) (15/5 + 3/5)Γ15
15/5 + 3/5 = (15 + 3)/5:
(4 + 3/4) (15 + 3)/5Γ15
15 + 3 = 18:
(4 + 3/4)Γ18/5Γ15
Put 4 + 3/4 over the common denominator 4. 4 + 3/4 = (4Γ4)/4 + 3/4:
(18Γ15)/5 (4Γ4)/4 + 3/4
4Γ4 = 16:
((16/4 + 3/4)Γ18Γ15)/5
16/4 + 3/4 = (16 + 3)/4:
(18Γ15)/5 (16 + 3)/4
16 + 3 = 19:
19/4Γ18/5Γ15
19/4Γ18/5Γ15 = (19Γ18Γ15)/(4Γ5):
(19Γ18Γ15)/(4Γ5)
15/5 = (5Γ3)/5 = 3:
(19Γ18Γ3)/4
The gcd of 18 and 4 is 2, so (19Γ18Γ3)/4 = (19 (2Γ9) 3)/(2Γ2) = 2/2Γ(19Γ9Γ3)/2 = (19Γ9Γ3)/2:
(19Γ9Γ3)/2
19Γ9 = 171:
(171Γ3)/2
171Γ3 = 513:
Answer: 513/2