![\Huge\boxed{\frac{1}{2}\ \textsf{feet}\ \Large\textsf{(6 inches)}}](https://tex.z-dn.net/?f=%5CHuge%5Cboxed%7B%5Cfrac%7B1%7D%7B2%7D%5C%20%5Ctextsf%7Bfeet%7D%5C%20%5CLarge%5Ctextsf%7B%286%20inches%29%7D%7D)
To solve this question, we simply need to subtract the two numbers.
![\displaystyle6\frac{5}{6}-6\frac{1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle6%5Cfrac%7B5%7D%7B6%7D-6%5Cfrac%7B1%7D%7B3%7D)
We'll start by changing these into improper fractions to simplify things for now.
![\displaystyle\begin{aligned}(\frac{36}{6}+\frac{5}{6})&-(\frac{18}{3}+\frac{1}{3})\\\frac{41}{6}&-\frac{19}{3}\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cbegin%7Baligned%7D%28%5Cfrac%7B36%7D%7B6%7D%2B%5Cfrac%7B5%7D%7B6%7D%29%26-%28%5Cfrac%7B18%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B3%7D%29%5C%5C%5Cfrac%7B41%7D%7B6%7D%26-%5Cfrac%7B19%7D%7B3%7D%5Cend%7Baligned%7D)
Now, we need to make these fractions share a common denominator. We'll do this by multiplying the second fraction by
. Keep in mind that whatever is done to the denominator must also be done to the numerator.
![\displaystyle\frac{41}{6}-\frac{19\cdot2}{3\cdot2}\\\frac{41}{6}-\frac{38}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B41%7D%7B6%7D-%5Cfrac%7B19%5Ccdot2%7D%7B3%5Ccdot2%7D%5C%5C%5Cfrac%7B41%7D%7B6%7D-%5Cfrac%7B38%7D%7B6%7D)
Finally, subtract the numerators and keep the denominators.
![\displaystyle\frac{41-38}{6}\\\frac{3}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B41-38%7D%7B6%7D%5C%5C%5Cfrac%7B3%7D%7B6%7D)
We can simplify this fraction by dividing both the numerator and the denominator by
.
![\displaystyle\frac{3\div3}{6\div3}\\\large\boxed{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B3%5Cdiv3%7D%7B6%5Cdiv3%7D%5C%5C%5Clarge%5Cboxed%7B%5Cfrac%7B1%7D%7B2%7D%7D)
Answer:
Step-by-step explanation:
love is the ability to feel so much passion and feeling towards something or someone. your happy when with them.
Hello!
![\large\boxed{\text{Infinitely many solutions.}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Ctext%7BInfinitely%20many%20solutions.%7D%7D)
-3(x - 14) + 9x = 6x + 42
Distribute the coefficient of the parenthesis:
-3(x) - 3(-14) + 9x = 6x + 42
-3x + 42 + 9x = 6x + 42
Combine like terms:
6x + 42 = 6x + 42
Both sides of the equation are the same, therefore:
There are infinitely many solutions.