This encounters adding, subtracting and finding the least usual multiple.
You are watching: Solve for x 6 over x equals 4 over 8
Step by action Solution
Rearrange:Rearrange the equation by subtracting what is to the best of the equal authorize from both sides of the equation : x/6-(4/8)=0
Step by action solution :
Step 1 :
1 leveling — 2Equation in ~ the finish of step 1 : x 1 — - — = 0 6 2
Step 2 :x leveling — 6Equation at the end of action 2 : x 1 — - — = 0 6 2
Step 3 :Calculating the Least usual Multiple :3.1 find the Least typical Multiple The left denominator is : 6 The ideal denominator is : 2
|Product the allPrime Factors||6||2||6|
Least common Multiple: 6Calculating multipliers :
3.2 calculate multipliers for the two fractions signify the Least usual Multiple by L.C.M represent the Left Multiplier by Left_M denote the best Multiplier through Right_M represent the Left Deniminator by L_Deno represent the best Multiplier through R_DenoLeft_M=L.C.M/L_Deno=1Right_M=L.C.M/R_Deno=3Making tantamount Fractions :
3.3 Rewrite the 2 fractions into identical fractionsTwo fractions are dubbed equivalent if they have actually the same numeric value. For example : 1/2 and 2/4 space equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are identical as well. To calculation equivalent fraction , main point the numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. X —————————————————— = — L.C.M 6 R. Mult. • R.
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Num. 3 —————————————————— = — L.C.M 6Adding fractions that have actually a common denominator :3.4 including up the two tantamount fractions include the two equivalent fractions i beg your pardon now have a common denominatorCombine the molecule together, put the amount or difference over the typical denominator then minimize to lowest terms if possible:
x - (3) x - 3 ——————— = ————— 6 6 Equation at the finish of action 3 : x - 3 ————— = 0 6
Step 4 :When a portion equals zero :4.1 once a fraction equals zero ...Where a fraction equals zero, that numerator, the part which is above the portion line, have to equal zero.Now,to remove the denominator, Tiger multiplys both political parties of the equation by the denominator.Here"s how:
x-3 ——— • 6 = 0 • 6 6 Now, ~ above the left hand side, the 6 cancels out the denominator, while, top top the right hand side, zero times anything is quiet zero.The equation currently takes the shape:x-3=0
Solving a single Variable Equation:4.2Solve:x-3 = 0Add 3 come both political parties of the equation:x = 3