1/5e-1=2/3

This encounters 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 individually what is come the ideal of the equal authorize from both political parties of the equation : 1/5*e-1-(2/3)=0

Step by step solution :

Step 1 :

2 simplify — 3Equation at the finish of step 1 : 1 2 ((— • e) - 1) - — = 0 5 3

Step 2 :

1 simplify — 5Equation at the finish of step 2 : 1 2 ((— • e) - 1) - — = 0 5 3

Step 3 :

Rewriting the totality as an Equivalent fraction :3.1Subtracting a totality from a fraction Rewrite the totality as a portion using 5 as the denominator :

1 1 • 5 1 = — = ————— 1 5 Equivalent fraction : The fraction thus generated looks different but has the very same value as the whole typical denominator : The equivalent fraction and the other portion involved in the calculation share the same denominator

Adding fractions that have a usual denominator :3.2 adding up the two equivalent fractions include the two identical fractions i beg your pardon now have actually a typical denominatorCombine the numerators together, placed the sum or difference over the typical denominator then reduce to lowest state if possible:

e - (5) e - 5 ——————— = ————— 5 5 Equation in ~ the finish of step 3 : (e - 5) 2 ——————— - — = 0 5 3

Step 4 :

Calculating the Least typical Multiple :4.1 find the Least typical Multiple The left denominator is : 5 The best denominator is : 3

Number of times every prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
5101
3011
Product the allPrime Factors5315

Least typical Multiple: 15

Calculating multiplier :

4.2 calculate multipliers for the two fractions denote the Least common Multiple through L.C.M signify the Left Multiplier by Left_M represent the right Multiplier through Right_M signify the Left Deniminator by L_Deno signify the appropriate Multiplier by R_DenoLeft_M=L.C.M/L_Deno=3Right_M=L.C.M/R_Deno=5

Making identical Fractions :

4.3 Rewrite the two fractions into tantamount fractionsTwo fractions are dubbed equivalent if they have actually the exact same numeric value. For instance : 1/2 and also 2/4 are equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are identical as well. To calculate equivalent portion , main point the molecule of each fraction, by its respective Multiplier.

L. Mult. • L. Num. (e-5) • 3 —————————————————— = ————————— L.C.M 15 R. Mult. • R.

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Num. 2 • 5 —————————————————— = ————— L.C.M 15 including fractions that have actually a typical denominator :4.4 adding up the two equivalent fractions

(e-5) • 3 - (2 • 5) 3e - 25 ——————————————————— = ——————— 15 15 Equation in ~ the end of step 4 : 3e - 25 ——————— = 0 15

Step 5 :

When a fraction equals zero :5.1 when a portion equals zero ...Where a fraction equals zero, that numerator, the part which is over the portion line, must equal zero.Now,to get rid of the denominator, Tiger multiplys both political parties of the equation through the denominator.Here"s how:

3e-25 ————— • 15 = 0 • 15 15 Now, on the left hand side, the 15 cancels out the denominator, while, on the best hand side, zero times anything is quiet zero.The equation now takes the shape:3e-25=0

Solving a single Variable Equation:5.2Solve:3e-25 = 0Add 25 come both political parties of the equation:3e = 25 division both sides of the equation by 3:e = 25/3 = 8.333