3/8=x/40

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




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Step by action Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal authorize from both political parties of the equation : 3/8-(x/40)=0

Step by action solution :

Step 1 :

x leveling —— 40Equation at the finish of step 1 : 3 x — - —— = 0 8 40

Step 2 :

3 leveling — 8Equation in ~ the end of action 2 : 3 x — - —— = 0 8 40

Step 3 :

Calculating the Least usual Multiple :3.1 find the Least common Multiple The left denominator is : 8 The ideal denominator is : 40

Number of times each prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2333
5011
Product of allPrime Factors84040

Least common Multiple: 40

Calculating multipliers :

3.2 calculation multipliers for the two fractions denote the Least typical Multiple by L.C.M represent the Left Multiplier through Left_M denote the right Multiplier by Right_M denote the Left Deniminator through L_Deno signify the ideal Multiplier by R_DenoLeft_M=L.C.M/L_Deno=5Right_M=L.C.M/R_Deno=1

Making indistinguishable Fractions :

3.3 Rewrite the two fractions into equivalent fractionsTwo fractions are dubbed equivalent if they have actually the same numeric value. For example : 1/2 and also 2/4 are 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 corresponding Multiplier.

L. Mult. • L. Num. 3 • 5 —————————————————— = ————— L.C.M 40 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 40Adding fountain that have actually a typical denominator :3.4 adding up the two tantamount fractions include the two tantamount fractions i m sorry now have a typical denominatorCombine the numerators together, placed the amount or distinction over the common denominator then alleviate to lowest state if possible:

3 • 5 - (x) 15 - x ——————————— = —————— 40 40 Equation at the end of step 3 : 15 - x —————— = 0 40

Step 4 :

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

15-x ———— • 40 = 0 • 40 40 Now, on the left hand side, the 40 cancels out the denominator, while, top top the ideal hand side, zero time anything is tho zero.The equation now takes the shape:15-x=0

Solving a single Variable Equation:4.2Solve:-x+15 = 0Subtract 15 from both political parties of the equation:-x = -15 multiply both political parties of the equation by (-1) : x = 15