n:16=3:4

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




You are watching: 16^-3/4

Step by step Solution

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Rearrange:

Rearrange the equation by subtracting what is come the ideal of the equal sign from both political parties of the equation : n/16-(3/4)=0

Step by action solution :

Step 1 :

3 leveling — 4Equation at the finish of action 1 : n 3 —— - — = 0 16 4

Step 2 :

n simplify —— 16Equation in ~ the end of step 2 : n 3 —— - — = 0 16 4

Step 3 :

Calculating the Least typical Multiple :3.1 discover the Least usual Multiple The left denominator is : 16 The right denominator is : 4

Number of times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2424
Product the allPrime Factors16416

Least typical Multiple: 16

Calculating multiplier :

3.2 calculate multipliers because that the 2 fractions signify the Least common Multiple by L.C.M represent the Left Multiplier by Left_M signify the right Multiplier through Right_M denote the Left Deniminator by L_Deno represent the right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=1Right_M=L.C.M/R_Deno=4

Making tantamount Fractions :

3.3 Rewrite the two fractions into indistinguishable fractionsTwo fountain are referred to as equivalent if they have the same numeric value. For example : 1/2 and also 2/4 room equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are indistinguishable as well. To calculate equivalent fraction , main point the molecule of each fraction, by its corresponding Multiplier.

L. Mult. • L. Num. N —————————————————— = —— L.C.M 16 R. Mult. • R.

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Num. 3 • 4 —————————————————— = ————— L.C.M 16 adding fractions that have a common denominator :3.4 including up the two equivalent fractions add the two tantamount fractions i m sorry now have actually a common denominatorCombine the numerators together, placed the sum or distinction over the usual denominator then alleviate to lowest state if possible:

n - (3 • 4) n - 12 ——————————— = —————— 16 16 Equation at the end of step 3 : n - 12 —————— = 0 16

Step 4 :

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

n-12 ———— • 16 = 0 • 16 16 Now, on the left hand side, the 16 cancels out the denominator, while, ~ above the right hand side, zero times anything is still zero.The equation currently takes the shape:n-12=0

Solving a solitary Variable Equation:4.2Solve:n-12 = 0Add 12 to both sides of the equation:n = 12