### 3/7=x/28

This deals with adding, subtracting and also finding the least typical multiple.

You are watching: What is 3/7 of 28

## Step by step Solution ### Rearrange:

Rearrange the equation by subtracting what is come the right of the equal authorize from both sides of the equation : 3/7-(x/28)=0

## Step 1 :

x leveling —— 28Equation in ~ the finish of action 1 : 3 x — - —— = 0 7 28

## Step 2 :

3 simplify — 7Equation at the finish of action 2 : 3 x — - —— = 0 7 28

## Step 3 :

Calculating the Least usual Multiple :3.1 find the Least typical Multiple The left denominator is : 7 The appropriate denominator is : 28

Number that times each prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
7111
2022
Product that allPrime Factors72828

Least typical Multiple: 28

Calculating multiplier :

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

Making indistinguishable Fractions :

3.3 Rewrite the two fractions into tantamount fractionsTwo fountain are referred to as equivalent if they have actually the very same numeric value. For example : 1/2 and 2/4 space equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are identical as well. To calculate equivalent portion , multiply the molecule of each fraction, by its particular Multiplier.

L. Mult. • L. Num. 3 • 4 —————————————————— = ————— L.C.M 28 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 28Adding fractions that have actually a usual denominator :3.4 adding up the two indistinguishable fractions include the two equivalent fractions which now have actually a usual denominatorCombine the molecule together, placed the sum or distinction over the typical denominator then mitigate to lowest terms if possible:

3 • 4 - (x) 12 - x ——————————— = —————— 28 28 Equation in ~ the end of action 3 : 12 - x —————— = 0 28

## Step 4 :

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

12-x ———— • 28 = 0 • 28 28 Now, ~ above the left hand side, the 28 cancels the end the denominator, while, top top the ideal hand side, zero times anything is tho zero.The equation now takes the shape:12-x=0

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