9
2
+
6
+
^2 --- HOPE THIS HELPS :))
Answer: ![\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D)
Step-by-step explanation:
First, we need to find the common denominator
The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.
2 × 5 = 10
So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:
=
We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.
Do the same thing for the other one:
= ![\frac{5}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B10%7D)
Finally, subtract the two fractions to find the difference between the two times:
= ![\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D)
The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.
Answer:
2
Step-by-step explanation:
I AM A BLOODY GENIUS BRUH
Answer:
![a > \frac{22}{21}](https://tex.z-dn.net/?f=a%20%3E%20%5Cfrac%7B22%7D%7B21%7D)
Step-by-step explanation:
Given the inequality function
, to write the inequality in interval notation, we need to first get the solution to the inequality as shown;
![\frac{14a}{11}>\frac{4}{3}\\cross\ multiply\\14a \times 3 > 11 \times 4\\42a >44\\divide \ both \ sides \ by \ 42\\\frac{42a}{42} > \frac{44}{42}\\ a>\frac{22}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B14a%7D%7B11%7D%3E%5Cfrac%7B4%7D%7B3%7D%5C%5Ccross%5C%20multiply%5C%5C14a%20%5Ctimes%203%20%3E%2011%20%5Ctimes%204%5C%5C42a%20%3E44%5C%5Cdivide%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%2042%5C%5C%5Cfrac%7B42a%7D%7B42%7D%20%3E%20%5Cfrac%7B44%7D%7B42%7D%5C%5C%20a%3E%5Cfrac%7B22%7D%7B21%7D)
Hence the expression in interval notation is ![a > \frac{22}{21}](https://tex.z-dn.net/?f=a%20%3E%20%5Cfrac%7B22%7D%7B21%7D)