### 2:5=x:20

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

You are watching: What is 2/5 of 20

## Step by action Solution

### Rearrange:

Rearrange the equation by individually what is to the appropriate of the equal authorize from both sides of the equation : 2/5-(x/20)=0## Step by action solution :

## Step 1 :

x simplify —— 20Equation in ~ the end of action 1 : 2 x — - —— = 0 5 20

## Step 2 :

2 leveling — 5Equation at the finish of action 2 : 2 x — - —— = 0 5 20## Step 3 :

Calculating the Least usual Multiple :3.1 discover the Least common Multiple The left denominator is : 5 The right denominator is : 20Number of times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right5 | 1 | 1 | 1 |

2 | 0 | 2 | 2 |

Product that allPrime Factors | 5 | 20 | 20 |

Least usual Multiple: 20

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

Making tantamount Fractions :3.3 Rewrite the 2 fractions into equivalent fractionsTwo fountain are dubbed equivalent if they have actually the same numeric value. For example : 1/2 and 2/4 room equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well. To calculation equivalent portion , multiply the numerator of each fraction, through its particular Multiplier.

L. Mult. • L. Num. 2 • 4 —————————————————— = ————— L.C.M 20 R. Mult. • R.

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

2 • 4 - (x) 8 - x ——————————— = ————— 20 20 Equation at the end of step 3 : 8 - x ————— = 0 20

## Step 4 :

When a fraction equals zero :4.1 as soon as a portion equals zero ...Where a fraction equals zero, that is numerator, the component 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:8-x ——— • 20 = 0 • 20 20 Now, on the left hand side, the 20 cancels out the denominator, while, top top the right hand side, zero times anything is quiet zero.The equation now takes the shape:8-x=0

Solving a single Variable Equation:4.2Solve:-x+8 = 0Subtract 8 from both sides of the equation:-x = -8 multiply both political parties of the equation by (-1) : x = 8