3/5=x/2000

This deals with adding, subtracting and finding the least usual multiple.




You are watching: What is 3 5 of 2000

Step by action Solution

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Rearrange:

Rearrange the equation by individually what is to the best of the equal authorize from both political parties of the equation : 3/5-(x/2000)=0

Step by action solution :

Step 1 :

x simplify ———— 2000Equation at the finish of action 1 : 3 x — - ———— = 0 5 2000

Step 2 :

3 simplify — 5Equation in ~ the end of action 2 : 3 x — - ———— = 0 5 2000

Step 3 :

Calculating the Least typical Multiple :3.1 uncover the Least typical Multiple The left denominator is : 5 The best denominator is : 2000

Number the times each prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
5133
2044
Product of allPrime Factors520002000

Least typical Multiple: 2000

Calculating multiplier :

3.2 calculate multipliers for the 2 fractions signify the Least common Multiple by L.C.M signify the Left Multiplier by Left_M represent the right Multiplier by Right_M signify the Left Deniminator through L_Deno signify the appropriate Multiplier through R_DenoLeft_M=L.C.M/L_Deno=400Right_M=L.C.M/R_Deno=1

Making tantamount Fractions :

3.3 Rewrite the two fractions into indistinguishable fractionsTwo fountain are called equivalent if they have the same numeric value. For instance : 1/2 and also 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well. To calculation equivalent fraction , multiply the numerator of each fraction, by its particular Multiplier.

L. Mult. • L. Num. 3 • 400 —————————————————— = ——————— L.C.M 2000 R. Mult. • R.

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Num. X —————————————————— = ———— L.C.M 2000Adding fountain that have a usual denominator :3.4 adding up the two tantamount fractions include the two identical fractions which now have a usual denominatorCombine the molecule together, put the amount or distinction over the usual denominator then mitigate to lowest terms if possible:

3 • 400 - (x) 1200 - x ————————————— = ———————— 2000 2000 Equation in ~ the end of step 3 : 1200 - x ———————— = 0 2000

Step 4 :

When a portion equals zero :4.1 as soon as a fraction equals zero ...Where a portion equals zero, the numerator, the part which is over the portion line, have to equal zero.Now,to remove the denominator, Tiger multiplys both political parties of the equation by the denominator.Here"s how:

1200-x —————— • 2000 = 0 • 2000 2000 Now, on the left hand side, the 2000 cancels out the denominator, while, top top the right hand side, zero times anything is tho zero.The equation currently takes the shape:1200-x=0

Solving a single Variable Equation:4.2Solve:-x+1200 = 0Subtract 1200 from both sides of the equation:-x = -1200 multiply both sides of the equation by (-1) : x = 1200