This faces adding, subtracting and finding the least typical multiple.
You are watching: 41/x = 5/2
Step by action Solution
Rearrange:Rearrange the equation by subtracting what is come the best of the equal sign from both political parties of the equation : 41/x-(5/2)=0
Step by step solution :
Step 1 :
5 leveling — 2Equation at the end of action 1 : 41 5 —— - — = 0 x 2
Step 2 :41 simplify —— x Equation at the finish of action 2 : 41 5 —— - — = 0 x 2
Step 3 :Calculating the Least common Multiple :3.1 find the Least typical Multiple The left denominator is : x The appropriate denominator is : 2
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Least typical Multiple: 2xCalculating multiplier :
3.2 calculation multipliers because that the 2 fractions denote the Least typical Multiple by L.C.M represent the Left Multiplier by Left_M signify the best Multiplier by Right_M represent the Left Deniminator through L_Deno represent the ideal Multiplier by R_DenoLeft_M=L.C.M/L_Deno=2Right_M=L.C.M/R_Deno=xMaking equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractionsTwo fractions are dubbed equivalent if they have the very same numeric value. For instance : 1/2 and also 2/4 room equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are identical as well. To calculation equivalent portion , main point the numerator of each fraction, through its respective Multiplier.
L. Mult. • L. Num. 41 • 2 —————————————————— = —————— L.C.M 2x R. Mult. • R.
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Num. 5 • x —————————————————— = ————— L.C.M 2x adding fractions that have a typical denominator :3.4 including up the two equivalent fractions add the two tantamount fractions i m sorry now have actually a usual denominatorCombine the molecule together, placed the sum or distinction over the common denominator then minimize to lowest state if possible:
41 • 2 - (5 • x) 82 - 5x ———————————————— = ——————— 2x 2x Equation at the finish of action 3 : 82 - 5x ——————— = 0 2x
Step 4 :When a portion equals zero :4.1 when a portion equals zero ...Where a portion equals zero, the numerator, the component which is above the portion line, have to equal zero.Now,to eliminate the denominator, Tiger multiplys both political parties of the equation through the denominator.Here"s how:
82-5x ————— • 2x = 0 • 2x 2x Now, on the left hand side, the 2x cancels out the denominator, while, top top the appropriate hand side, zero time anything is tho zero.The equation now takes the shape:82-5x=0
Solving a solitary Variable Equation:4.2Solve:-5x+82 = 0Subtract 82 indigenous both sides of the equation:-5x = -82 multiply both sides of the equation by (-1) : 5x = 82 divide both sides of the equation through 5:x = 82/5 = 16.400