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enot [183]
3 years ago
9

5. Simplify: 2/5 +3/7+(-6/5)+ (-13/7)​

Mathematics
2 answers:
LenKa [72]3 years ago
8 0

Answer:

\frac{2}{5}  +  \frac{3}{7}  + ( -  \frac{6}{5}  ) + ( -  \frac{13}{7} ) \\  \frac{2}{5}   +   \frac{3}{7}  -  \frac{6}{5}  -  \frac{13}{7}  \\ ( \frac{2}{5}  -  \frac{6}{5} ) + ( \frac{3}{7}  -  \frac{13}{7} ) \\  \frac{2 - 6}{5}  +  \frac{3 - 13}{7}  \\  \frac{ - 4}{5}  +  \frac{ - 10}{7}  \\  \frac{   - 4}{5}  -    \frac{10}{7}  \\  \frac{ - 28 - 50}{35}  \\  \frac{ - 78}{35}  \\  -  \frac{78}{35}

Ilya [14]3 years ago
3 0

Answer: -78 / 35

Step-by-step explanation:

<u>Given</u>

 2/5 + 3/7 + (-6/5) + (-13/7)

<u>Combine terms that have the same denominator</u>

= 2/5 + (-6/5) + 3/7 + (-13/7)

= -4/5 - 10/7

<u>Convert denominator by Least Common Multiple (LCM)</u>

= (-4 × 7) / (5 × 7) - (10 × 5) / (7 × 5)

= -28/35 - 50/35

= -78 / 35

Hope this helps!! :)

Please let me know if you have any questions

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Given a table  showing approximate conversion from gallons to liters.

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