<em><u>The answer to given equation is x = -0.9372</u></em>
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
![\frac{5}{6}x + 4 = \frac{422}{105} - \frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7Dx%20%2B%204%20%3D%20%5Cfrac%7B422%7D%7B105%7D%20-%20%5Cfrac%7B4%7D%7B5%7D)
We have to find the answer to this equation
Let us solve the equation step by step
From given,
![\frac{5}{6}x + 4 = \frac{422}{105} - \frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7Dx%20%2B%204%20%3D%20%5Cfrac%7B422%7D%7B105%7D%20-%20%5Cfrac%7B4%7D%7B5%7D)
Solve the right side of equation
Take L.C.M for 105 and 5
Prime factor of 5 = 5
Prime factor of 105 = 3 x 5 x 7
Multiply these factors together to find the LCM.
LCM = 3 x 5 x 7 = 105
Thus,
![\frac{5}{6}x + 4 = \frac{422 \times 1}{105 \times 1} - \frac{4 \times 21}{5 \times 21}\\\\\frac{5}{6}x + 4 = \frac{422-84}{105}\\\\\frac{5}{6}x + 4 = \frac{338}{105}\\\\\frac{5}{6}x + 4 =3.219\\\\\frac{5}{6}x = 3.219 - 4\\\\\frac{5}{6}x = -0.781\\\\5x = -4.686\\\\x = - 0.9372](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7Dx%20%2B%204%20%3D%20%5Cfrac%7B422%20%5Ctimes%201%7D%7B105%20%5Ctimes%201%7D%20-%20%5Cfrac%7B4%20%5Ctimes%2021%7D%7B5%20%5Ctimes%2021%7D%5C%5C%5C%5C%5Cfrac%7B5%7D%7B6%7Dx%20%2B%204%20%3D%20%5Cfrac%7B422-84%7D%7B105%7D%5C%5C%5C%5C%5Cfrac%7B5%7D%7B6%7Dx%20%2B%204%20%3D%20%5Cfrac%7B338%7D%7B105%7D%5C%5C%5C%5C%5Cfrac%7B5%7D%7B6%7Dx%20%2B%204%20%3D3.219%5C%5C%5C%5C%5Cfrac%7B5%7D%7B6%7Dx%20%3D%203.219%20-%204%5C%5C%5C%5C%5Cfrac%7B5%7D%7B6%7Dx%20%3D%20-0.781%5C%5C%5C%5C5x%20%3D%20-4.686%5C%5C%5C%5Cx%20%3D%20-%200.9372)
Thus the answer to given equation is x = -0.9372
1/3 + 1/7 = 7/21 + 3/21 = 10/21
12/24
hope this helps as the denominator is divisible by the ones from the question
Answer:
20
Step-by-step explanation:
6/0.3=20