12/5x=x/6

This deals with adding, subtracting and also finding the least usual multiple.




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Step by step Solution

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Rearrange:

Rearrange the equation by individually what is come the ideal of the equal authorize from both political parties of the equation : 12/5*x-(x/6)=0

Step by action solution :

Step 1 :

x leveling — 6Equation at the end of step 1 : 12 x (—— • x) - — = 0 5 6

Step 2 :

12 simplify —— 5 Equation in ~ the finish of action 2 : 12 x (—— • x) - — = 0 5 6

Step 3 :

Calculating the Least typical Multiple :3.1 discover the Least typical Multiple The left denominator is : 5 The appropriate denominator is : 6

Number of times each prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
5101
2011
3011
Product the allPrime Factors5630

Least usual Multiple: 30

Calculating multiplier :

3.2 calculate multipliers because that the two fractions signify the Least common Multiple by L.C.M denote the Left Multiplier by Left_M signify the appropriate Multiplier through Right_M signify the Left Deniminator by L_Deno represent the appropriate Multiplier by R_DenoLeft_M=L.C.M/L_Deno=6Right_M=L.C.M/R_Deno=5

Making tantamount Fractions :

3.3 Rewrite the 2 fractions into identical fractionsTwo fractions are dubbed equivalent if they have the exact same numeric value. For example : 1/2 and 2/4 space equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are indistinguishable as well. To calculation equivalent fraction , main point the molecule of every fraction, by its particular Multiplier.

L. Mult. • L. Num. 12x • 6 —————————————————— = ——————— L.C.M 30 R. Mult. • R.

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Num. X • 5 —————————————————— = ————— L.C.M 30 including fractions that have actually a common denominator :3.4 including up the two tantamount fractions add the two tantamount fractions i beg your pardon now have actually a usual denominatorCombine the molecule together, placed the amount or difference over the common denominator then alleviate to lowest state if possible:

12x • 6 - (x • 5) 67x ————————————————— = ——— 30 30 Equation at the finish of step 3 : 67x ——— = 0 30

Step 4 :

When a fraction equals zero :4.1 once a fraction equals zero ...Where a fraction equals zero, that numerator, the component which is over the portion line, must equal zero.Now,to eliminate the denominator, Tiger multiplys both political parties of the equation through the denominator.Here"s how:

67x ——— • 30 = 0 • 30 30 Now, top top the left hand side, the 30 cancels out the denominator, while, on the appropriate hand side, zero times anything is still zero.The equation now takes the shape:67x=0

Solving a single Variable Equation:4.2Solve:67x = 0Divide both sides of the equation by 67:x = 0