X is 6 that is the missing value in the equation
Answer: 2/6 or 1/3
Step-by-step explanation: First you want to change the two fractions to improper fractions, so 2 1/6 will become 13/6 and 1 5/6 will become 11/6.
Using those improper fractions, you subtract the numerators since the denominators are the same, so 13 - 11 is 2 for the numberator.
2/6 can be simplified into 1/3 by dividing the numerator and denominator by 2.
Answer:
0.9144 meters, or 1 meter if you round it up
The denominator of the fraction is four more than the numerator. The fraction:
![\frac{x}{x+4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%2B4%7D)
If both numerator and denominator are increased by eight, the simplified result is 5/6:
![\frac{x+8}{x+4+8}=\frac{5}{6} \\ \\ \frac{x+8}{x+12}=\frac{5}{6} \ \ \ |\times (x+12) \\ \\ x+8=\frac{5}{6}x+\frac{5}{6} \times 12 \\ \\ x+8=\frac{5}{6}x+10 \\ \\ x-\frac{5}{6}x=10-8 \\ \\ \frac{1}{6}x=2 \ \ \ |\times 6 \\ \\ x=12 \\ \\ \frac{x}{x+4}=\frac{12}{12+4}=\boxed{\frac{12}{16}}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B8%7D%7Bx%2B4%2B8%7D%3D%5Cfrac%7B5%7D%7B6%7D%20%5C%5C%20%5C%5C%0A%5Cfrac%7Bx%2B8%7D%7Bx%2B12%7D%3D%5Cfrac%7B5%7D%7B6%7D%20%5C%20%5C%20%5C%20%7C%5Ctimes%20%28x%2B12%29%20%5C%5C%20%5C%5C%0Ax%2B8%3D%5Cfrac%7B5%7D%7B6%7Dx%2B%5Cfrac%7B5%7D%7B6%7D%20%5Ctimes%2012%20%5C%5C%20%5C%5C%0Ax%2B8%3D%5Cfrac%7B5%7D%7B6%7Dx%2B10%20%5C%5C%20%5C%5C%0Ax-%5Cfrac%7B5%7D%7B6%7Dx%3D10-8%20%5C%5C%20%5C%5C%0A%5Cfrac%7B1%7D%7B6%7Dx%3D2%20%5C%20%5C%20%5C%20%7C%5Ctimes%206%20%5C%5C%20%5C%5C%0Ax%3D12%20%5C%5C%20%5C%5C%0A%5Cfrac%7Bx%7D%7Bx%2B4%7D%3D%5Cfrac%7B12%7D%7B12%2B4%7D%3D%5Cboxed%7B%5Cfrac%7B12%7D%7B16%7D%7D)
The original fraction is 12/16.