2:5=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 sides of the equation : 2/5-(x/100)=0

Step by action solution :

Step 1 :

x simplify ——— 100Equation at the end of action 1 : 2 x — - ——— = 0 5 100

Step 2 :

2 simplify — 5Equation in ~ the finish of step 2 : 2 x — - ——— = 0 5 100

Step 3 :

Calculating the Least common Multiple :3.1 discover the Least usual Multiple The left denominator is : 5 The appropriate denominator is : 100

Number of times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
5122
2022
Product of allPrime Factors5100100

Least typical Multiple: 100

Calculating multiplier :

3.2 calculation multipliers because that the two fractions represent the Least common Multiple through L.C.M denote the Left Multiplier by Left_M signify the best Multiplier by Right_M signify the Left Deniminator by L_Deno denote the appropriate Multiplier by R_DenoLeft_M=L.C.M/L_Deno=20Right_M=L.C.M/R_Deno=1

Making indistinguishable Fractions :

3.3 Rewrite the two fractions into indistinguishable fractionsTwo fountain are dubbed equivalent if they have the exact same numeric value. For example : 1/2 and also 2/4 space equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are identical as well. To calculate equivalent fraction , main point the numerator of each fraction, by its particular Multiplier.

L. Mult. • L. Num. 2 • 20 —————————————————— = —————— L.C.M 100 R. Mult. • R.

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Num. X —————————————————— = ——— L.C.M 100Adding fountain that have actually a common denominator :3.4 including up the two equivalent fractions include the two indistinguishable fractions i m sorry now have actually a typical denominatorCombine the numerators together, put the amount or difference over the typical denominator then mitigate to lowest state if possible:

2 • 20 - (x) 40 - x ———————————— = —————— 100 100 Equation in ~ the finish of step 3 : 40 - x —————— = 0 100

Step 4 :

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

40-x ———— • 100 = 0 • 100 100 Now, on the left hand side, the 100 cancels the end the denominator, while, on the right hand side, zero times anything is tho zero.The equation now takes the shape:40-x=0

Solving a single Variable Equation:4.2Solve:-x+40 = 0Subtract 40 indigenous both sides of the equation:-x = -40 main point both sides of the equation by (-1) : x = 40