-7/80
To add the fractions \(-\frac{63}{80} + \frac{7}{10}\), you need a common denominator. The common denominator for 80 and 10 is 80.
1. Adjust the second fraction (\(\frac{7}{10}\)) to have a denominator of 80 by multiplying both its numerator and denominator by 8:
\[ \frac{7}{10} \times \frac{8}{8} = \frac{56}{80} \]
2. Now, you can add the two fractions:
\[ -\frac{63}{80} + \frac{56}{80} \]
3. Combine the numerators while keeping the common denominator:
\[ \frac{-63 + 56}{80} \]
4. Perform the subtraction in the numerator:
\[ \frac{-7}{80} \]
So, \(-\frac{63}{80} + \frac{7}{10} = -\frac{7}{80}\).
Answer: -7/80
Step-by-step explanation:
The easiest way to do addition or subtraction of two fractions with unlike denominators is to set the denominators equal to one another. In this case, we want to set the respective denominators of 80 and 10 equal. We can do this by multiplying 10 by 8.
When we multiply 10 by 8, we must also multiply the numerator by 8. Thus, 7/10 is equivalent to 56/80.
Now we have our new equation, -63/80 + 56/80, which is just (-63+56)/80, which is also -7/80.
