5/8=x/32

This deals with adding, subtracting and also finding the least common multiple.




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Step by action Solution

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Rearrange:

Rearrange the equation by individually what is to the right of the equal sign from both political parties of the equation : 5/8-(x/32)=0

Step by action solution :

Step 1 :

x simplify —— 32Equation in ~ the finish of action 1 : 5 x — - —— = 0 8 32

Step 2 :

5 leveling — 8Equation at the finish of action 2 : 5 x — - —— = 0 8 32

Step 3 :

Calculating the Least common Multiple :3.1 uncover the Least usual Multiple The left denominator is : 8 The best denominator is : 32

Number the times each prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2355
Product of allPrime Factors83232

Least typical Multiple: 32

Calculating multiplier :

3.2 calculation multipliers for the 2 fractions denote the Least common Multiple by L.C.M denote the Left Multiplier by Left_M denote the ideal Multiplier through Right_M represent the Left Deniminator by L_Deno signify the appropriate Multiplier by R_DenoLeft_M=L.C.M/L_Deno=4Right_M=L.C.M/R_Deno=1

Making tantamount Fractions :

3.3 Rewrite the 2 fractions into indistinguishable fractionsTwo fractions are dubbed equivalent if they have the very same numeric value. For example : 1/2 and 2/4 room equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are equivalent as well. To calculation equivalent fraction , multiply the molecule of each fraction, by its particular Multiplier.

L. Mult. • L. Num. 5 • 4 —————————————————— = ————— L.C.M 32 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 32Adding fountain that have actually a usual denominator :3.4 adding up the two indistinguishable fractions add the two equivalent fractions i m sorry now have a usual denominatorCombine the numerators together, placed the sum or distinction over the typical denominator then alleviate to lowest state if possible:

5 • 4 - (x) 20 - x ——————————— = —————— 32 32 Equation in ~ the end of action 3 : 20 - x —————— = 0 32

Step 4 :

When a fraction equals zero :4.1 once a portion equals zero ...Where a fraction equals zero, that is numerator, the component which is above the portion line, need to equal zero.Now,to eliminate the denominator, Tiger multiplys both sides of the equation through the denominator.Here"s how:

20-x ———— • 32 = 0 • 32 32 Now, ~ above the left hand side, the 32 cancels out the denominator, while, top top the right hand side, zero time anything is still zero.The equation now takes the shape:20-x=0

Solving a solitary Variable Equation:4.2Solve:-x+20 = 0Subtract 20 native both sides of the equation:-x = -20 main point both sides of the equation through (-1) : x = 20