### 3/7=x/35

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

You are watching: What is 3/7 of 35

## Step by action Solution ### Rearrange:

Rearrange the equation by subtracting what is come the best of the equal authorize from both political parties of the equation : 3/7-(x/35)=0

## Step 1 :

x leveling —— 35Equation in ~ the end of action 1 : 3 x — - —— = 0 7 35

## Step 2 :

3 leveling — 7Equation in ~ the finish of step 2 : 3 x — - —— = 0 7 35

## Step 3 :

Calculating the Least common Multiple :3.1 find the Least usual Multiple The left denominator is : 7 The ideal denominator is : 35

Number that times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
7111
5011
Product that allPrime Factors73535

Least usual Multiple: 35

Calculating multipliers :

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

Making identical Fractions :

3.3 Rewrite the two fractions into tantamount fractionsTwo fractions are referred to as equivalent if they have actually the 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 equivalent as well. To calculate equivalent fraction , main point the molecule of each fraction, through its corresponding Multiplier.

L. Mult. • L. Num. 3 • 5 —————————————————— = ————— L.C.M 35 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 35Adding fountain that have a typical denominator :3.4 adding up the two equivalent fractions add the two identical fractions i m sorry now have actually a common denominatorCombine the numerators together, put the amount or difference over the common denominator then alleviate to lowest state if possible:

3 • 5 - (x) 15 - x ——————————— = —————— 35 35 Equation at the end of action 3 : 15 - x —————— = 0 35

## Step 4 :

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

15-x ———— • 35 = 0 • 35 35 Now, on the left hand side, the 35 cancels the end the denominator, while, top top the right hand side, zero times anything is still zero.The equation now takes the shape:15-x=0

Solving a single Variable Equation:4.2Solve:-x+15 = 0Subtract 15 native both sides of the equation:-x = -15 main point both political parties of the equation by (-1) : x = 15