3:5=x:20

This encounters adding, subtracting and also finding the least common multiple.




You are watching: What is 3/5 of 20

Step by action Solution

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Rearrange:

Rearrange the equation by individually what is come the best of the equal sign from both political parties of the equation : 3/5-(x/20)=0

Step by action solution :

Step 1 :

x leveling —— 20Equation in ~ the finish of action 1 : 3 x — - —— = 0 5 20

Step 2 :

3 leveling — 5Equation in ~ the finish of step 2 : 3 x — - —— = 0 5 20

Step 3 :

Calculating the Least usual Multiple :3.1 discover the Least typical Multiple The left denominator is : 5 The ideal denominator is : 20

Number of times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
5111
2022
Product of allPrime Factors52020

Least common Multiple: 20

Calculating multipliers :

3.2 calculate multipliers for the two fractions represent the Least typical Multiple by L.C.M denote the Left Multiplier by Left_M denote the right Multiplier by Right_M signify the Left Deniminator through L_Deno denote the ideal Multiplier by R_DenoLeft_M=L.C.M/L_Deno=4Right_M=L.C.M/R_Deno=1

Making identical Fractions :

3.3 Rewrite the two fractions into indistinguishable fractionsTwo fractions are called equivalent if they have the same numeric value. For instance : 1/2 and also 2/4 space 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 particular Multiplier.

L. Mult. • L. Num. 3 • 4 —————————————————— = ————— L.C.M 20 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 20Adding fountain that have actually a common denominator :3.4 adding up the two equivalent fractions add the two tantamount fractions i beg your pardon now have a typical denominatorCombine the molecule together, placed the amount or distinction over the usual denominator then alleviate to lowest state if possible:

3 • 4 - (x) 12 - x ——————————— = —————— 20 20 Equation in ~ the finish of action 3 : 12 - x —————— = 0 20

Step 4 :

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

12-x ———— • 20 = 0 • 20 20 Now, top top the left hand side, the 20 cancels out the denominator, while, top top the best hand side, zero time anything is quiet zero.The equation currently takes the shape:12-x=0

Solving a solitary Variable Equation:4.2Solve:-x+12 = 0Subtract 12 from both political parties of the equation:-x = -12 multiply both political parties of the equation by (-1) : x = 12