### 3:4=x:20

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

You are watching: What is 3/4 of 20

## Step by step Solution

### Rearrange:

Rearrange the equation by individually what is come the ideal of the equal sign from both political parties of the equation : 3/4-(x/20)=0

## Step 1 :

x simplify —— 20Equation at the end of action 1 : 3 x — - —— = 0 4 20

## Step 2 :

3 simplify — 4Equation in ~ the end of action 2 : 3 x — - —— = 0 4 20

## Step 3 :

Calculating the Least common Multiple :3.1 find the Least typical Multiple The left denominator is : 4 The appropriate denominator is : 20

Number the times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2222
5011
Product that allPrime Factors42020

Least typical Multiple: 20

Calculating multipliers :

3.2 calculation multipliers for the 2 fractions denote the Least typical Multiple by L.C.M signify the Left Multiplier by Left_M denote the ideal Multiplier by Right_M denote the Left Deniminator by L_Deno denote the right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=5Right_M=L.C.M/R_Deno=1

Making tantamount Fractions :

3.3 Rewrite the 2 fractions into identical fractionsTwo fractions are referred to as equivalent if they have actually the very same numeric value. For instance : 1/2 and also 2/4 room equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are indistinguishable as well. To calculation equivalent portion , multiply the molecule of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 3 • 5 —————————————————— = ————— L.C.M 20 R. Mult. • R.

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

3 • 5 - (x) 15 - x ——————————— = —————— 20 20 Equation at the end of action 3 : 15 - x —————— = 0 20

## Step 4 :

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

15-x ———— • 20 = 0 • 20 20 Now, on the left hand side, the 20 cancels the end the denominator, while, ~ above the best hand side, zero times anything is still zero.The equation now takes the shape:15-x=0

Solving a solitary Variable Equation:4.2Solve:-x+15 = 0Subtract 15 indigenous both sides of the equation:-x = -15 multiply both political parties of the equation by (-1) : x = 15