1/3=x/100

This faces adding, subtracting and finding the least common multiple.




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Step by action Solution

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Rearrange:

Rearrange the equation by individually what is come the best of the equal sign from both political parties of the equation : 1/3-(x/100)=0

Step by action solution :

Step 1 :

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

Step 2 :

1 leveling — 3Equation in ~ the finish of step 2 : 1 x — - ——— = 0 3 100

Step 3 :

Calculating the Least common Multiple :3.1 uncover the Least usual Multiple The left denominator is : 3 The right denominator is : 100

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

Least usual Multiple: 300

Calculating multiplier :

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

Making identical Fractions :

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

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

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Num. X • 3 —————————————————— = ————— L.C.M 300 adding fractions that have a typical denominator :3.4 adding up the two tantamount fractions add the two identical fractions i beg your pardon now have a common denominatorCombine the molecule together, placed the sum or difference over the common denominator then alleviate to lowest terms if possible:

100 - (x • 3) 100 - 3x ————————————— = ———————— 300 300 Equation in ~ the end of action 3 : 100 - 3x ———————— = 0 300

Step 4 :

When a portion equals zero :4.1 once a portion equals zero ...Where a fraction equals zero, its numerator, the component which is above the fraction line, should equal zero.Now,to eliminate the denominator, Tiger multiplys both political parties of the equation by the denominator.Here"s how:

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

Solving a single Variable Equation:4.2Solve:-3x+100 = 0Subtract 100 from both political parties of the equation:-3x = -100 main point both sides of the equation by (-1) : 3x = 100 divide both political parties of the equation by 3:x = 100/3 = 33.333