Question

4) 5- 5 1/2 + (- 8 5/6) 5) 4 1/3 + (- 7 5/9) 6) 3- 3 3/8 + (- 9 1/2)​

Answer 1

Ответ:

4) -9 1/3

5)-3 2/9

6)-12 7/8

Пошаговое объяснение:

Answer 2

Sure, I'd be happy to help you with these arithmetic calculations:

4. $5 - \frac{5}{2} + (-\frac{8}{5})$ To perform this calculation, first convert the mixed numbers to improper fractions: $= 5 - \frac{10}{4} + (-\frac{40}{6})$

   Now, find a common denominator, which is 12: $= \frac{60}{12} - \frac{30}{12} + (-\frac{80}{12})$

   Combine the numerators: $= \frac{60 - 30 - 80}{12}$ $= \frac{-50}{12}$

   You can simplify this fraction if needed, but in its current form, it's already simplified.

5. $4 \frac{1}{3} + (-\frac{7}{5} \frac{5}{9})$ Convert the mixed numbers to improper fractions: $= \frac{13}{3} + (-\frac{40}{9})$

   To add these fractions, find a common denominator, which is 27: $= \frac{117}{27} + (-\frac{120}{27})$

   Combine the numerators: $= \frac{117 - 120}{27}$ $= \frac{-3}{27}$

   Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3: $= \frac{-1}{9}$

6. $3 - 3 \frac{3}{8} + (-\frac{9}{2})$ Convert the mixed number to an improper fraction: $= 3 - \frac{27}{8} + (-\frac{18}{2})$

   $= 3 - \frac{27}{8} + (-9)$

   To add these, convert -9 to a fraction with a denominator of 8: $= 3 - \frac{27}{8} - \frac{72}{8}$

   Combine the numerators: $= 3 - \frac{27 + 72}{8}$ $= 3 - \frac{99}{8}$

   To combine the integer and the fraction, find a common denominator of 8: $= \frac{24}{8} - \frac{99}{8}$

   Combine the numerators: $= \frac{24 - 99}{8}$ $= \frac{-75}{8}$

These are the results of the arithmetic calculations for the given expressions. If you need further assistance, feel free to ask!