2:3=x:24

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




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Step by step Solution

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Rearrange:

Rearrange the equation by individually what is to the appropriate of the equal sign from both political parties of the equation : 2/3-(x/24)=0

Step by action solution :

Step 1 :

x simplify —— 24Equation in ~ the end of action 1 : 2 x — - —— = 0 3 24

Step 2 :

2 leveling — 3Equation at the finish of action 2 : 2 x — - —— = 0 3 24

Step 3 :

Calculating the Least typical Multiple :3.1 discover the Least usual Multiple The left denominator is : 3 The ideal denominator is : 24

Number the times every prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
3111
2033
Product the allPrime Factors32424

Least usual Multiple: 24

Calculating multiplier :

3.2 calculate multipliers for the 2 fractions represent the Least typical Multiple by L.C.M represent the Left Multiplier by Left_M denote the appropriate Multiplier through Right_M represent the Left Deniminator by L_Deno represent the best Multiplier by R_DenoLeft_M=L.C.M/L_Deno=8Right_M=L.C.M/R_Deno=1

Making tantamount Fractions :

3.3 Rewrite the 2 fractions into equivalent fractionsTwo fountain are called equivalent if they have actually the same numeric value. For instance : 1/2 and 2/4 space equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are tantamount as well. To calculation equivalent portion , main point the molecule of each fraction, by its corresponding Multiplier.

L. Mult. • L. Num. 2 • 8 —————————————————— = ————— L.C.M 24 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 24Adding fractions that have actually a common denominator :3.4 adding up the two indistinguishable fractions add the two equivalent fractions i m sorry now have actually a common denominatorCombine the numerators together, placed the amount or difference over the typical denominator then mitigate to lowest state if possible:

2 • 8 - (x) 16 - x ——————————— = —————— 24 24 Equation at the finish of action 3 : 16 - x —————— = 0 24

Step 4 :

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

16-x ———— • 24 = 0 • 24 24 Now, top top the left hand side, the 24 cancels out the denominator, while, on the best hand side, zero times anything is still zero.The equation currently takes the shape:16-x=0

Solving a solitary Variable Equation:4.2Solve:-x+16 = 0Subtract 16 native both political parties of the equation:-x = -16 main point both sides of the equation through (-1) : x = 16