1/3=x/100

This deals with adding, subtracting and also 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 to the right of the equal authorize from both political parties of the equation : 1/3-(x/100)=0

Step by action solution :

Step 1 :

x simplify ——— 100Equation in ~ the finish of step 1 : 1 x — - ——— = 0 3 100

Step 2 :

1 leveling — 3Equation at the finish of action 2 : 1 x — - ——— = 0 3 100

Step 3 :

Calculating the Least common Multiple :3.1 find the Least typical Multiple The left denominator is : 3 The best denominator is : 100

Number of times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
3101
2022
5022
Product of allPrime Factors3100300

Least typical Multiple: 300

Calculating multiplier :

3.2 calculate multipliers because that the two fractions signify the Least usual Multiple by L.C.M denote the Left Multiplier by Left_M signify the right Multiplier by Right_M signify the Left Deniminator by L_Deno signify the right Multiplier through R_DenoLeft_M=L.C.M/L_Deno=100Right_M=L.C.M/R_Deno=3

Making tantamount Fractions :

3.3 Rewrite the two fractions into identical fractionsTwo fountain are dubbed equivalent if they have the same numeric value. For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well. To calculate equivalent portion , main point the molecule of every fraction, through its corresponding Multiplier.

L. Mult. • L. Num. 100 —————————————————— = ——— L.C.M 300 R. Mult. • R.

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Num. X • 3 —————————————————— = ————— L.C.M 300 including fractions that have a common denominator :3.4 including up the two tantamount fractions add the two indistinguishable fractions which now have actually a typical denominatorCombine the numerators together, placed the sum or difference over the usual denominator then reduce to lowest terms if possible:

100 - (x • 3) 100 - 3x ————————————— = ———————— 300 300 Equation at the end of step 3 : 100 - 3x ———————— = 0 300

Step 4 :

When a fraction equals zero :4.1 when a fraction equals zero ...Where a fraction equals zero, that numerator, the part which is above the fraction line, should equal zero.Now,to get rid of the denominator, Tiger multiplys both sides of the equation through the denominator.Here"s how:

100-3x —————— • 300 = 0 • 300 300 Now, on the left hand side, the 300 cancels the end the denominator, while, on the right hand side, zero times anything is quiet zero.The equation now takes the shape:100-3x=0

Solving a solitary Variable Equation:4.2Solve:-3x+100 = 0Subtract 100 native both sides of the equation:-3x = -100 multiply both political parties of the equation by (-1) : 3x = 100 division both political parties of the equation by 3:x = 100/3 = 33.333