} + \frac{5}{48}" alt="\frac{-23}{30} + \frac{5}{48}" align="absmiddle" class="latex-formula">
1 answer:
Answer:
(-53)/80
Step-by-step explanation:
Simplify the following:
-23/30 + 5/48
Put -23/30 + 5/48 over the common denominator 240. -23/30 + 5/48 = (8 (-23))/240 + (5×5)/240:
(8 (-23))/240 + (5×5)/240
8 (-23) = -184:
(-184)/240 + (5×5)/240
5×5 = 25:
(-184)/240 + 25/240
-184/240 + 25/240 = (-184 + 25)/240:
(-184 + 25)/240
-184 + 25 = -159:
(-159)/240
The gcd of -159 and 240 is 3, so (-159)/240 = (3 (-53))/(3×80) = 3/3×(-53)/80 = (-53)/80:
Answer: (-53)/80
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