5/8=x/24

This faces adding, subtracting and finding the least usual multiple.




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Step by step Solution

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Rearrange:

Rearrange the equation by subtracting what is come the appropriate of the equal sign from both political parties of the equation : 5/8-(x/24)=0

Step by action solution :

Step 1 :

x leveling —— 24Equation in ~ the end of action 1 : 5 x — - —— = 0 8 24

Step 2 :

5 leveling — 8Equation in ~ the finish of action 2 : 5 x — - —— = 0 8 24

Step 3 :

Calculating the Least typical Multiple :3.1 uncover the Least usual Multiple The left denominator is : 8 The ideal denominator is : 24

Number of times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2333
3011
Product of allPrime Factors82424

Least common Multiple: 24

Calculating multiplier :

3.2 calculation multipliers because that the two fractions denote the Least usual Multiple by L.C.M denote the Left Multiplier by Left_M represent the ideal Multiplier through Right_M represent the Left Deniminator by L_Deno represent the best Multiplier through R_DenoLeft_M=L.C.M/L_Deno=3Right_M=L.C.M/R_Deno=1

Making indistinguishable Fractions :

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

L. Mult. • L. Num. 5 • 3 —————————————————— = ————— L.C.M 24 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 24Adding fractions that have a usual denominator :3.4 including up the two tantamount fractions add the two equivalent fractions which now have actually a typical denominatorCombine the molecule together, put the amount or distinction over the common denominator then reduce to lowest terms if possible:

5 • 3 - (x) 15 - x ——————————— = —————— 24 24 Equation at the end of action 3 : 15 - x —————— = 0 24

Step 4 :

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

15-x ———— • 24 = 0 • 24 24 Now, top top the left hand side, the 24 cancels the end the denominator, while, top top the right hand side, zero times anything is quiet zero.The equation now takes the shape:15-x=0

Solving a solitary Variable Equation:4.2Solve:-x+15 = 0Subtract 15 native both political parties of the equation:-x = -15 main point both political parties of the equation by (-1) : x = 15