please awnser i fraction form 4 3/4 times 3 3/5 times 15
Question
Answer:
Simplify the following:(4 + 3/4) (3 + 3/5)×15
Put 3 + 3/5 over the common denominator 5. 3 + 3/5 = (5×3)/5 + 3/5:
(4 + 3/4) (5×3)/5 + 3/5 15
5×3 = 15:
(4 + 3/4) (15/5 + 3/5)×15
15/5 + 3/5 = (15 + 3)/5:
(4 + 3/4) (15 + 3)/5×15
15 + 3 = 18:
(4 + 3/4)×18/5×15
Put 4 + 3/4 over the common denominator 4. 4 + 3/4 = (4×4)/4 + 3/4:
(18×15)/5 (4×4)/4 + 3/4
4×4 = 16:
((16/4 + 3/4)×18×15)/5
16/4 + 3/4 = (16 + 3)/4:
(18×15)/5 (16 + 3)/4
16 + 3 = 19:
19/4×18/5×15
19/4×18/5×15 = (19×18×15)/(4×5):
(19×18×15)/(4×5)
15/5 = (5×3)/5 = 3:
(19×18×3)/4
The gcd of 18 and 4 is 2, so (19×18×3)/4 = (19 (2×9) 3)/(2×2) = 2/2×(19×9×3)/2 = (19×9×3)/2:
(19×9×3)/2
19×9 = 171:
(171×3)/2
171×3 = 513:
Answer: 513/2
solved
general
11 months ago
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