5/12=n/60

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




You are watching: What is 5/12 of 60

Step by step Solution

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Rearrange:

Rearrange the equation by individually what is come the right of the equal sign from both political parties of the equation : 5/12-(n/60)=0

Step by step solution :

Step 1 :

n leveling —— 60Equation in ~ the finish of step 1 : 5 n —— - —— = 0 12 60

Step 2 :

5 simplify —— 12Equation in ~ the finish of action 2 : 5 n —— - —— = 0 12 60

Step 3 :

Calculating the Least typical Multiple :3.1 uncover the Least usual Multiple The left denominator is : 12 The right denominator is : 60

Number of times each prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2222
3111
5011
Product the allPrime Factors126060

Least usual Multiple: 60

Calculating multipliers :

3.2 calculate multipliers for the two fractions denote the Least common Multiple by L.C.M represent the Left Multiplier through Left_M signify the best Multiplier by Right_M denote the Left Deniminator through L_Deno denote the right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=5Right_M=L.C.M/R_Deno=1

Making equivalent Fractions :

3.3 Rewrite the 2 fractions into identical fractionsTwo fountain are referred to as equivalent if they have the same numeric value. For example : 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 , multiply the numerator of every fraction, by its corresponding Multiplier.

L. Mult. • L. Num. 5 • 5 —————————————————— = ————— L.C.M 60 R. Mult. • R.

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Num. N —————————————————— = —— L.C.M 60Adding fountain that have a typical denominator :3.4 adding up the two identical fractions include the two indistinguishable fractions i m sorry now have a common denominatorCombine the molecule together, put the sum or distinction over the usual denominator then mitigate to lowest state if possible:

5 • 5 - (n) 25 - n ——————————— = —————— 60 60 Equation in ~ the end of action 3 : 25 - n —————— = 0 60

Step 4 :

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

25-n ———— • 60 = 0 • 60 60 Now, top top the left hand side, the 60 cancels out the denominator, while, ~ above the appropriate hand side, zero time anything is quiet zero.The equation currently takes the shape:25-n=0

Solving a solitary Variable Equation:4.2Solve:-n+25 = 0Subtract 25 from both sides of the equation:-n = -25 multiply both political parties of the equation by (-1) : n = 25