3/8=x/72

This encounters adding, subtracting and also finding the leastern common multiple.




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Tip by Tip Solution

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Rearrange:

Rearselection the equation by subtracting what is to the ideal of the equal authorize from both sides of the equation : 3/8-(x/72)=0

Step by step solution :

Step 1 :

x Simplify —— 72Equation at the finish of step 1 : 3 x — - —— = 0 8 72

Step 2 :

3 Simplify — 8Equation at the end of step 2 : 3 x — - —— = 0 8 72

Step 3 :

Calculating the Least Usual Multiple :3.1 Find the Leastern Usual Multiple The left denominator is : 8 The ideal denominator is : 72

Number of times each prime factorshows up in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2333
3022
Product of allPrime Factors87272

Leastern Usual Multiple: 72

Calculating Multipliers :

3.2 Calculate multipliers for the 2 fractions Denote the Leastern Typical Multiple by L.C.M Denote the Left Multiplier by Left_M Denote the Right Multiplier by Right_M Denote the Left Deniminator by L_Deno Denote the Right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=9Right_M=L.C.M/R_Deno=1

Making Equivalent Fractions :

3.3 Recompose the 2 fractions right into identical fractionsTwo fractions are referred to as tantamount if they have actually the very same numeric worth. For instance : 1/2 and 2/4 are identical, y/(y+1)2 and (y2+y)/(y+1)3 are tantamount too. To calculate indistinguishable fraction , multiply the Numerator of each fraction, by its corresponding Multiplier.

L. Mult. • L. Num. 3 • 9 —————————————————— = ————— L.C.M 72 R. Mult. • R.

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Num. x —————————————————— = —— L.C.M 72Adding fractions that have a widespread denominator :3.4 Adding up the two identical fractions Add the two identical fractions which currently have actually a widespread denominatorCombine the numerators together, put the sum or difference over the widespread denominator then alleviate to lowest terms if possible:

3 • 9 - (x) 27 - x ——————————— = —————— 72 72 Equation at the finish of action 3 : 27 - x —————— = 0 72

Step 4 :

When a portion equates to zero :4.1 When a fraction equates to zero ...Wbelow a fraction equals zero, its numerator, the part which is over the fractivity line, must equal zero.Now,to remove the denominator, Tiger multiplys both sides of the equation by the denominator.Here"s how:

27-x ———— • 72 = 0 • 72 72 Now, on the left hand side, the 72 cancels out the denominator, while, on the best hand also side, zero times anypoint is still zero.The equation now takes the shape:27-x=0

Solving a Single Variable Equation:4.2Solve:-x+27 = 0Subtract 27 from both sides of the equation:-x = -27 Multiply both sides of the equation by (-1) : x = 27