463/100 ?! I think that’s the answer hun if it’s not right I’m sorry!
Answer:
0.25 or 5/12 - 1/6
Step-by-step explanation:
-1/2(-5/6+1/3), do PMDAS. (-5/6) = -0.833 (repeated) and (1/3) = 0.333 (repeated) and you add them both (-0.833 + 0.333) = -0.5 and -1/2 = -0.5 and when you multiply them both it would equal 0.25. or another explanation for the answer is 5/12 = 0.41666666666 and 1/6 = 0.16666666666 and when you subtract them both you get 0.25, I hope this was helpful.
![\boldsymbol{\sf{6-\dfrac{3}{4}x+\dfrac{1}{3}=\dfrac{1}{y}x+5 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B6-%5Cdfrac%7B3%7D%7B4%7Dx%2B%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B1%7D%7By%7Dx%2B5%20%20%20%20%7D%7D)
Convert 6 to the fraction 18/3.
![\boldsymbol{\sf{\dfrac{18}{3} -\dfrac{3}{4}x+\dfrac{1}{3}=\dfrac{1}{y}x+5 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B18%7D%7B3%7D%20-%5Cdfrac%7B3%7D%7B4%7Dx%2B%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B1%7D%7By%7Dx%2B5%20%20%20%20%7D%7D)
Since the fractions 18/3 and 1/3 have the same denominator, we add their numerators to calculate them.
![\boldsymbol{\sf{\dfrac{18+1}{3}-\dfrac{3}{4}x=\dfrac{1}{2}x+5 \ \longmapsto \ \ [Add \ 18+1] }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B18%2B1%7D%7B3%7D-%5Cdfrac%7B3%7D%7B4%7Dx%3D%5Cdfrac%7B1%7D%7B2%7Dx%2B5%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5BAdd%20%5C%20%2018%2B1%5D%20%7D%7D)
![\boldsymbol{\sf{\dfrac{19}{3}-\dfrac{3}{4}x=\dfrac{1}{2}x+5 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B19%7D%7B3%7D-%5Cdfrac%7B3%7D%7B4%7Dx%3D%5Cdfrac%7B1%7D%7B2%7Dx%2B5%20%20%7D%7D)
Subtract
on both sides.
![\boldsymbol{\sf{\dfrac{19}{3}-\dfrac{3}{4}x-\dfrac{1}{2}x=5 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B19%7D%7B3%7D-%5Cdfrac%7B3%7D%7B4%7Dx-%5Cdfrac%7B1%7D%7B2%7Dx%3D5%20%20%20%20%7D%7D)
Combine
and
to get
.
![\boldsymbol{\sf{\dfrac{19}{3}-\dfrac{5}{4}x=5 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B19%7D%7B3%7D-%5Cdfrac%7B5%7D%7B4%7Dx%3D5%20%20%20%7D%7D)
Subtract 19x from both sides.
![\boldsymbol{\sf{-\dfrac{5}{4}x=5-\dfrac{19}{3} }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-%5Cdfrac%7B5%7D%7B4%7Dx%3D5-%5Cdfrac%7B19%7D%7B3%7D%20%20%20%20%20%7D%7D)
Convert 5 to the fraction 15/3.
![\boldsymbol{\sf{-\dfrac{4}{5}x=\dfrac{15}{3}-\dfrac{19}{3} }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-%5Cdfrac%7B4%7D%7B5%7Dx%3D%5Cdfrac%7B15%7D%7B3%7D-%5Cdfrac%7B19%7D%7B3%7D%20%20%20%20%7D%7D)
Since the fractions 15/3 and 19/3 have the same denominator, we add their numerators to calculate them.
![\boldsymbol{\sf{-\dfrac{5}{4}x=\dfrac{15-19}{3} \ \longmapsto \ \ [Subtract \ 15-19] }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-%5Cdfrac%7B5%7D%7B4%7Dx%3D%5Cdfrac%7B15-19%7D%7B3%7D%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5BSubtract%20%5C%2015-19%5D%20%20%7D%7D)
![\boldsymbol{\sf{-\dfrac{5}{4}x=-\dfrac{4}{3} }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-%5Cdfrac%7B5%7D%7B4%7Dx%3D-%5Cdfrac%7B4%7D%7B3%7D%20%20%20%7D%7D)
Multiply both sides by -4/3, the reciprocal of -4/3.
![\boldsymbol{\sf{x=-\dfrac{4}{5}\left(-\dfrac{4}{5}\right) }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%3D-%5Cdfrac%7B4%7D%7B5%7D%5Cleft%28-%5Cdfrac%7B4%7D%7B5%7D%5Cright%29%20%20%20%7D%7D)
Multiply -4/3 by -4/5 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
![\boldsymbol{\sf{x=\dfrac{-4(-4)}{3\times5} \ \ \longmapsto \ \ Multiply, \ numerator \ and \ denominator. }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%3D%5Cdfrac%7B-4%28-4%29%7D%7B3%5Ctimes5%7D%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20Multiply%2C%20%5C%20numerator%20%5C%20and%20%5C%20%20denominator.%20%7D%7D)
![\red{\boxed{\boldsymbol{\sf{\blue{Answer \ \ \longmapsto \ \ \ \ x=\frac{16}{15} }}}}}](https://tex.z-dn.net/?f=%5Cred%7B%5Cboxed%7B%5Cboldsymbol%7B%5Csf%7B%5Cblue%7BAnswer%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20%5C%20x%3D%5Cfrac%7B16%7D%7B15%7D%20%7D%7D%7D%7D%7D)
13% is bigger than 3/25. If you turn the 13% into a fraction it comes out to be 13/100.
To compare the two they have to have he same denominator. To make 3/25 have the denominator of 100 multiply the numerator and denominator by 4. You should get 12/100.
12/100<13/100