3/4=4/x

This faces adding, subtracting and also finding the least typical multiple.




You are watching: 3/4 x 3/4

Step by step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the best of the equal sign from both political parties of the equation : 3/4-(4/x)=0

Step by step solution :

Step 1 :

4 simplify — xEquation at the end of step 1 : 3 4 — - — = 0 4 x

Step 2 :

3 leveling — 4Equation in ~ the finish of step 2 : 3 4 — - — = 0 4 x

Step 3 :

Calculating the Least common Multiple :3.1 find the Least common Multiple The left denominator is : 4 The best denominator is : x

Number of times each prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2202
Product of allPrime Factors414

Number of times every Algebraic Factorappears in the factorization of:AlgebraicFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
x011

Least typical Multiple: 4x

Calculating multiplier :

3.2 calculate multipliers for the two fractions represent the Least common Multiple by L.C.M signify the Left Multiplier by Left_M signify the ideal Multiplier by Right_M denote the Left Deniminator through L_Deno denote the right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=xRight_M=L.C.M/R_Deno=4

Making indistinguishable Fractions :

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

L. Mult. • L. Num. 3 • x —————————————————— = ————— L.C.M 4x R. Mult. • R.

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Num. 4 • 4 —————————————————— = ————— L.C.M 4x including fractions that have a usual denominator :3.4 adding up the two tantamount fractions add the two tantamount fractions i beg your pardon now have a usual denominatorCombine the numerators together, placed the amount or difference over the typical denominator then alleviate to lowest state if possible:

3 • x - (4 • 4) 3x - 16 ——————————————— = ——————— 4x 4x Equation at the finish of step 3 : 3x - 16 ——————— = 0 4x

Step 4 :

When a portion equals zero :4.1 as soon as a portion equals zero ...Where a portion equals zero, the numerator, the part 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:

3x-16 ————— • 4x = 0 • 4x 4x Now, on the left hand side, the 4x cancels the end the denominator, while, top top the best hand side, zero times anything is tho zero.The equation currently takes the shape:3x-16=0

Solving a single Variable Equation:4.2Solve:3x-16 = 0Add 16 come both sides of the equation:3x = 16 division both political parties of the equation by 3:x = 16/3 = 5.333