1/6=n/24

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




You are watching: What is 1/6 of 24

Step by action Solution

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Rearrange:

Rearrange the equation by subtracting what is to the ideal of the equal sign from both political parties of the equation : 1/6-(n/24)=0

Step by step solution :

Step 1 :

n simplify —— 24Equation at the finish of step 1 : 1 n — - —— = 0 6 24

Step 2 :

1 simplify — 6Equation at the end of step 2 : 1 n — - —— = 0 6 24

Step 3 :

Calculating the Least typical Multiple :3.1 uncover the Least common Multiple The left denominator is : 6 The appropriate denominator is : 24

Number that times each prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2133
3111
Product that allPrime Factors62424

Least typical Multiple: 24

Calculating multiplier :

3.2 calculate multipliers for the two fractions denote the Least typical Multiple by L.C.M represent the Left Multiplier by Left_M represent the appropriate Multiplier by Right_M denote the Left Deniminator by L_Deno represent the ideal 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 equivalent fractionsTwo fractions are referred to as equivalent if they have the same numeric value. For example : 1/2 and 2/4 room equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are indistinguishable as well. To calculation equivalent portion , main point the numerator of each fraction, by its corresponding Multiplier.

L. Mult. • L. Num. 4 —————————————————— = —— L.C.M 24 R. Mult. • R.

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Num. N —————————————————— = —— L.C.M 24Adding fountain that have actually a common denominator :3.4 adding up the two equivalent fractions include the two tantamount fractions i beg your pardon now have a common denominatorCombine the numerators together, placed the amount or distinction over the common denominator then minimize to lowest state if possible:

4 - (n) 4 - n ——————— = ————— 24 24 Equation in ~ the end of step 3 : 4 - n ————— = 0 24

Step 4 :

When a fraction equals zero :4.1 as soon as a portion equals zero ...Where a fraction equals zero, its numerator, the part which is over the portion line, should equal zero.Now,to remove the denominator, Tiger multiplys both political parties of the equation by the denominator.Here"s how:

4-n ——— • 24 = 0 • 24 24 Now, top top the left hand side, the 24 cancels the end the denominator, while, top top the ideal hand side, zero times anything is tho zero.The equation currently takes the shape:4-n=0

Solving a single Variable Equation:4.2Solve:-n+4 = 0Subtract 4 native both sides of the equation:-n = -4 main point both political parties of the equation by (-1) : n = 4