### 5/6=x/20

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

You are watching: 5/6 x 5/6

## Step by action Solution ### Rearrange:

Rearrange the equation by individually what is come the ideal of the equal sign from both sides of the equation : 5/6-(x/20)=0

## Step 1 :

x leveling —— 20Equation in ~ the end of step 1 : 5 x — - —— = 0 6 20

## Step 2 :

5 simplify — 6Equation in ~ the finish of action 2 : 5 x — - —— = 0 6 20

## Step 3 :

Calculating the Least usual Multiple :3.1 uncover the Least usual Multiple The left denominator is : 6 The appropriate denominator is : 20

Number of times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2122
3101
5011
Product of allPrime Factors62060

Least common Multiple: 60

Calculating multiplier :

3.2 calculate multipliers for the 2 fractions signify the Least usual Multiple by L.C.M denote the Left Multiplier through Left_M denote the best Multiplier by Right_M represent the Left Deniminator by L_Deno denote the ideal Multiplier by R_DenoLeft_M=L.C.M/L_Deno=10Right_M=L.C.M/R_Deno=3

Making equivalent Fractions :

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

L. Mult. • L. Num. 5 • 10 —————————————————— = —————— L.C.M 60 R. Mult. • R.

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Num. X • 3 —————————————————— = ————— L.C.M 60 adding fractions that have a usual denominator :3.4 adding up the two tantamount fractions include the two indistinguishable fractions i beg your pardon now have a common denominatorCombine the molecule together, placed the sum or distinction over the usual denominator then minimize to lowest terms if possible:

5 • 10 - (x • 3) 50 - 3x ———————————————— = ——————— 60 60 Equation in ~ the end of step 3 : 50 - 3x ——————— = 0 60

## Step 4 :

When a fraction equals zero :4.1 when a fraction equals zero ...Where a portion equals zero, its numerator, the component which is over the portion line, should equal zero.Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.Here"s how:

50-3x ————— • 60 = 0 • 60 60 Now, on the left hand side, the 60 cancels the end the denominator, while, ~ above the right hand side, zero time anything is quiet zero.The equation currently takes the shape:50-3x=0

Solving a solitary Variable Equation:4.2Solve:-3x+50 = 0Subtract 50 native both political parties of the equation:-3x = -50 multiply both political parties of the equation by (-1) : 3x = 50 division both political parties of the equation through 3:x = 50/3 = 16.667