### 1/6=x/54

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

You are watching: What is 1/6 of 54

## Step by action Solution ### Rearrange:

Rearrange the equation by subtracting what is come the right of the equal authorize from both sides of the equation : 1/6-(x/54)=0

## Step 1 :

x simplify —— 54Equation in ~ the finish of step 1 : 1 x — - —— = 0 6 54

## Step 2 :

1 leveling — 6Equation at the finish of action 2 : 1 x — - —— = 0 6 54

## Step 3 :

Calculating the Least usual Multiple :3.1 find the Least typical Multiple The left denominator is : 6 The best denominator is : 54

Number the times every prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2111
3133
Product that allPrime Factors65454

Least usual Multiple: 54

Calculating multipliers :

3.2 calculation multipliers for the 2 fractions represent the Least common 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 right Multiplier through R_DenoLeft_M=L.C.M/L_Deno=9Right_M=L.C.M/R_Deno=1

Making indistinguishable Fractions :

3.3 Rewrite the two fractions into equivalent fractionsTwo fractions are dubbed equivalent if they have actually the very same numeric value. For instance : 1/2 and 2/4 room equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are tantamount as well. To calculation equivalent fraction , main point the numerator of every fraction, by its respective Multiplier.

L. Mult. • L. Num. 9 —————————————————— = —— L.C.M 54 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 54Adding fountain that have a typical denominator :3.4 adding up the two equivalent fractions add the two tantamount fractions i m sorry now have actually a typical denominatorCombine the numerators together, put the amount or distinction over the common denominator then reduce to lowest state if possible:

9 - (x) 9 - x ——————— = ————— 54 54 Equation at the end of step 3 : 9 - x ————— = 0 54

## Step 4 :

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

9-x ——— • 54 = 0 • 54 54 Now, ~ above the left hand side, the 54 cancels out the denominator, while, on the appropriate hand side, zero times anything is tho zero.The equation currently takes the shape:9-x=0

Solving a single Variable Equation:4.2Solve:-x+9 = 0Subtract 9 from both sides of the equation:-x = -9 multiply both sides of the equation by (-1) : x = 9