5:6=x:12

This encounters adding, subtracting and finding the least typical multiple.

You are watching: (5/6)^12


Step by action Solution

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Rearrange:

Rearrange the equation by subtracting what is come the right of the equal authorize from both sides of the equation : 5/6-(x/12)=0

Step by action solution :

Step 1 :

x simplify —— 12Equation in ~ the end of action 1 : 5 x — - —— = 0 6 12

Step 2 :

5 leveling — 6Equation at the end of step 2 : 5 x — - —— = 0 6 12

Step 3 :

Calculating the Least typical Multiple :3.1 find the Least common Multiple The left denominator is : 6 The appropriate denominator is : 12

Number of times each prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2122
3111
Product that allPrime Factors61212

Least common Multiple: 12

Calculating multiplier :

3.2 calculate multipliers because that the two fractions denote the Least usual Multiple through L.C.M signify the Left Multiplier by Left_M denote the ideal Multiplier by Right_M denote the Left Deniminator through L_Deno signify the appropriate Multiplier by R_DenoLeft_M=L.C.M/L_Deno=2Right_M=L.C.M/R_Deno=1

Making tantamount Fractions :

3.3 Rewrite the 2 fractions into indistinguishable fractionsTwo fountain are dubbed equivalent if they have actually the very same numeric value. For instance : 1/2 and also 2/4 space equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are identical as well. To calculation equivalent portion , main point the numerator of every fraction, through its corresponding Multiplier.

L. Mult. • L. Num. 5 • 2 —————————————————— = ————— L.C.M 12 R. Mult. • R.

See more: An Exponential Growth Function Represents A Quantity That Has An Increasing Doubling Time.

Num. X —————————————————— = —— L.C.M 12Adding fountain that have actually a common denominator :3.4 adding up the two indistinguishable fractions include the two indistinguishable fractions i m sorry now have actually a common denominatorCombine the numerators together, placed the sum or difference over the typical denominator then reduce to lowest state if possible:

5 • 2 - (x) 10 - x ——————————— = —————— 12 12 Equation in ~ the end of action 3 : 10 - x —————— = 0 12

Step 4 :

When a portion equals zero :4.1 when a portion equals zero ...Where a fraction equals zero, the numerator, the component which is over the portion line, need to equal zero.Now,to get rid of the denominator, Tiger multiplys both political parties of the equation by the denominator.Here"s how:

10-x ———— • 12 = 0 • 12 12 Now, on the left hand side, the 12 cancels the end the denominator, while, top top the best hand side, zero times anything is quiet zero.The equation now takes the shape:10-x=0

Solving a single Variable Equation:4.2Solve:-x+10 = 0Subtract 10 from both political parties of the equation:-x = -10 multiply both political parties of the equation by (-1) : x = 10