<img src="https://tex.z-dn.net/?f=%5Cfrac%7B-23%7D%7B30%7D%20%2B%20%5Cfrac%7B5%7D%7B48%7D" id="TexFormula1" title="\frac{-23}{30

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IRISSAK [1]

3 years ago

} + \frac{5}{48}" alt="\frac{-23}{30} + \frac{5}{48}" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Monica [59]3 years ago

7 0

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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