This faces adding, subtracting and finding the least common multiple.
You are watching: 3/10 = 30/100
Step by step Solution
Rearrange:Rearrange the equation by individually what is come the right of the equal authorize from both political parties of the equation : 10/30-(100/x)=0
Step by action solution :
Step 1 :
100 simplify ——— x Equation in ~ the end of step 1 : 10 100 —— - ——— = 0 30 x
Step 2 :1 simplify — 3Equation at the finish of action 2 : 1 100 — - ——— = 0 3 x
Step 3 :Calculating the Least common Multiple :3.1 discover the Least usual Multiple The left denominator is : 3 The right denominator is : x
|Product of allPrime Factors||3||1||3|
Least common Multiple: 3xCalculating multiplier :
3.2 calculation multipliers because that the two fractions denote the Least typical Multiple by L.C.M signify the Left Multiplier through Left_M denote the best Multiplier through Right_M signify the Left Deniminator by L_Deno represent the best Multiplier through R_DenoLeft_M=L.C.M/L_Deno=xRight_M=L.C.M/R_Deno=3Making identical Fractions :
3.3 Rewrite the two fractions into identical fractionsTwo fountain are dubbed equivalent if they have the very same numeric value. For example : 1/2 and also 2/4 are equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are tantamount as well. To calculate equivalent portion , multiply the numerator of every fraction, through its respective Multiplier.
L. Mult. • L. Num. X —————————————————— = —— L.C.M 3x R. Mult. • R.
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Num. 100 • 3 —————————————————— = ——————— L.C.M 3x adding fractions that have a typical denominator :3.4 adding up the two equivalent fractions add the two tantamount fractions which now have a common denominatorCombine the molecule together, put the amount or distinction over the typical denominator then alleviate to lowest state if possible:
x - (100 • 3) x - 300 ————————————— = ——————— 3x 3x Equation at the finish of step 3 : x - 300 ——————— = 0 3x
Step 4 :When a portion equals zero :4.1 when a portion equals zero ...Where a portion equals zero, its numerator, the part which is over the portion line, must equal zero.Now,to remove the denominator, Tiger multiplys both sides of the equation by the denominator.Here"s how:
x-300 ————— • 3x = 0 • 3x 3x Now, top top the left hand side, the 3x cancels out the denominator, while, on the best hand side, zero time anything is still zero.The equation currently takes the shape:x-300=0
Solving a single Variable Equation:4.2Solve:x-300 = 0Add 300 to both political parties of the equation:x = 300