1/6=x/120

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




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Step by step Solution

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Rearrange:

Rearrange the equation by subtracting what is come the ideal of the equal sign from both sides of the equation : 1/6-(x/120)=0

Step by action solution :

Step 1 :

x leveling ——— 120Equation at the finish of action 1 : 1 x — - ——— = 0 6 120

Step 2 :

1 leveling — 6Equation at the finish of action 2 : 1 x — - ——— = 0 6 120

Step 3 :

Calculating the Least common Multiple :3.1 discover the Least typical Multiple The left denominator is : 6 The ideal denominator is : 120

Number the times every prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2133
3111
5011
Product the allPrime Factors6120120

Least typical Multiple: 120

Calculating multipliers :

3.2 calculate multipliers because that the 2 fractions denote the Least typical Multiple by L.C.M signify the Left Multiplier through Left_M represent the right Multiplier by Right_M represent the Left Deniminator by L_Deno signify the right Multiplier through R_DenoLeft_M=L.C.M/L_Deno=20Right_M=L.C.M/R_Deno=1

Making tantamount Fractions :

3.3 Rewrite the 2 fractions into tantamount fractionsTwo fractions are referred to as equivalent if they have the very same numeric value. For example : 1/2 and also 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well. To calculation equivalent fraction , multiply the molecule of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 20 —————————————————— = ——— L.C.M 120 R. Mult. • R.

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Num. X —————————————————— = ——— L.C.M 120Adding fountain that have actually a common denominator :3.4 including up the two tantamount fractions include the two tantamount fractions which now have actually a typical denominatorCombine the numerators together, placed the amount or distinction over the typical denominator then reduce to lowest state if possible:

20 - (x) 20 - x ———————— = —————— 120 120 Equation in ~ the end of action 3 : 20 - x —————— = 0 120

Step 4 :

When a fraction equals zero :4.1 as soon as a fraction equals zero ...Where a portion equals zero, that is numerator, the part which is over the fraction line, need to equal zero.Now,to eliminate the denominator, Tiger multiplys both political parties of the equation by the denominator.Here"s how:

20-x ———— • 120 = 0 • 120 120 Now, top top the left hand side, the 120 cancels out the denominator, while, top top the ideal hand side, zero time anything is quiet zero.The equation currently takes the shape:20-x=0

Solving a solitary Variable Equation:4.2Solve:-x+20 = 0Subtract 20 from both political parties of the equation:-x = -20 multiply both political parties of the equation by (-1) : x = 20