3/8=x/72

This deals with adding, subtracting and finding the least usual 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 political parties of the equation : 3/8-(x/72)=0

Step by step solution :

Step 1 :

x simplify —— 72Equation in ~ the end of action 1 : 3 x — - —— = 0 8 72

Step 2 :

3 simplify — 8Equation at the end of action 2 : 3 x — - —— = 0 8 72

Step 3 :

Calculating the Least usual Multiple :3.1 find the Least common Multiple The left denominator is : 8 The best denominator is : 72

Number that times each prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2333
3022
Product the allPrime Factors87272

Least typical Multiple: 72

Calculating multipliers :

3.2 calculate multipliers for the 2 fractions denote the Least usual Multiple through L.C.M denote the Left Multiplier by Left_M represent the ideal Multiplier through Right_M denote the Left Deniminator through L_Deno signify the best Multiplier by R_DenoLeft_M=L.C.M/L_Deno=9Right_M=L.C.M/R_Deno=1

Making identical Fractions :

3.3 Rewrite the two fractions into tantamount fractionsTwo fountain are referred to as equivalent if they have 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 tantamount as well. To calculation equivalent portion , main point the molecule of every fraction, by its respective Multiplier.

L. Mult. • L. Num. 3 • 9 —————————————————— = ————— L.C.M 72 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 72Adding fountain that have actually a typical denominator :3.4 adding up the two indistinguishable fractions add the two equivalent fractions which now have a usual denominatorCombine the molecule together, put the amount or difference over the common denominator then reduce to lowest state if possible:

3 • 9 - (x) 27 - x ——————————— = —————— 72 72 Equation in ~ the end of step 3 : 27 - x —————— = 0 72

Step 4 :

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

27-x ———— • 72 = 0 • 72 72 Now, top top the left hand side, the 72 cancels out the denominator, while, ~ above the ideal hand side, zero times anything is quiet zero.The equation currently takes the shape:27-x=0

Solving a solitary Variable Equation:4.2Solve:-x+27 = 0Subtract 27 native both political parties of the equation:-x = -27 main point both sides of the equation by (-1) : x = 27