3/5=x/1200

This encounters adding, subtracting and finding the least usual multiple.




You are watching: What is 3 of 1200

Step by action Solution

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Rearrange:

Rearrange the equation by subtracting what is come the best of the equal authorize from both political parties of the equation : 3/5-(x/1200)=0

Step by action solution :

Step 1 :

x leveling ———— 1200Equation in ~ the finish of action 1 : 3 x — - ———— = 0 5 1200

Step 2 :

3 simplify — 5Equation in ~ the end of action 2 : 3 x — - ———— = 0 5 1200

Step 3 :

Calculating the Least typical Multiple :3.1 discover the Least usual Multiple The left denominator is : 5 The appropriate denominator is : 1200

Number of times every prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
5122
2044
3011
Product of allPrime Factors512001200

Least usual Multiple: 1200

Calculating multiplier :

3.2 calculate multipliers because that the 2 fractions denote the Least typical Multiple by L.C.M represent the Left Multiplier by Left_M signify the right Multiplier through Right_M denote the Left Deniminator through L_Deno denote the appropriate Multiplier through R_DenoLeft_M=L.C.M/L_Deno=240Right_M=L.C.M/R_Deno=1

Making tantamount Fractions :

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

L. Mult. • L. Num. 3 • 240 —————————————————— = ——————— L.C.M 1200 R. Mult. • R.

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Num. X —————————————————— = ———— L.C.M 1200Adding fractions that have a typical denominator :3.4 including up the two equivalent fractions add the two equivalent fractions i beg your pardon now have a common denominatorCombine the numerators together, put the amount or difference over the usual denominator then mitigate to lowest terms if possible:

3 • 240 - (x) 720 - x ————————————— = ——————— 1200 1200 Equation in ~ the finish of step 3 : 720 - x ——————— = 0 1200

Step 4 :

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

720-x ————— • 1200 = 0 • 1200 1200 Now, ~ above the left hand side, the 1200 cancels the end the denominator, while, top top the best hand side, zero times anything is tho zero.The equation currently takes the shape:720-x=0

Solving a solitary Variable Equation:4.2Solve:-x+720 = 0Subtract 720 native both sides of the equation:-x = -720 main point both sides of the equation by (-1) : x = 720