### 1/5=x/45

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

You are watching: What is 1/5 of 45

## Step by action Solution

### Rearrange:

Rearrange the equation by individually what is come the right of the equal sign from both political parties of the equation : 1/5-(x/45)=0

## Step 1 :

x simplify —— 45Equation at the finish of action 1 : 1 x — - —— = 0 5 45

## Step 2 :

1 leveling — 5Equation in ~ the end of step 2 : 1 x — - —— = 0 5 45

## Step 3 :

Calculating the Least typical Multiple :3.1 find the Least typical Multiple The left denominator is : 5 The best denominator is : 45

Number of times each prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
5111
3022
Product of allPrime Factors54545

Least common Multiple: 45

Calculating multiplier :

3.2 calculation multipliers because that the two fractions represent the Least typical Multiple by L.C.M represent the Left Multiplier by Left_M denote the right Multiplier through Right_M represent the Left Deniminator by L_Deno denote the right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=9Right_M=L.C.M/R_Deno=1

Making tantamount Fractions :

3.3 Rewrite the 2 fractions into identical fractionsTwo fountain are called equivalent if they have actually the exact same numeric value. For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are indistinguishable as well. To calculate equivalent fraction , main point the molecule of each fraction, through its corresponding Multiplier.

L. Mult. • L. Num. 9 —————————————————— = —— L.C.M 45 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 45Adding fountain that have a common denominator :3.4 adding up the two equivalent fractions include the two identical fractions i beg your pardon now have actually a common denominatorCombine the molecule together, put the amount or difference over the typical denominator then reduce to lowest state if possible:

9 - (x) 9 - x ——————— = ————— 45 45 Equation in ~ the finish of step 3 : 9 - x ————— = 0 45

## Step 4 :

When a portion equals zero :4.1 when a portion equals zero ...Where a portion equals zero, that numerator, the component which is over the portion line, should equal zero.Now,to eliminate the denominator, Tiger multiplys both political parties of the equation by the denominator.Here"s how:

9-x ——— • 45 = 0 • 45 45 Now, ~ above the left hand side, the 45 cancels the end the denominator, while, on the ideal hand side, zero times anything is still zero.The equation currently takes the shape:9-x=0

Solving a solitary Variable Equation:4.2Solve:-x+9 = 0Subtract 9 native both political parties of the equation:-x = -9 multiply both political parties of the equation by (-1) : x = 9