### 1:3=x:120

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

You are watching: What is 1/3 of 120

## Step by action Solution

### Rearrange:

Rearrange the equation by individually what is to the ideal of the equal authorize from both political parties of the equation : 1/3-(x/120)=0## Step by step solution :

## Step 1 :

x leveling ——— 120Equation at the finish of action 1 : 1 x — - ——— = 0 3 120

## Step 2 :

1 leveling — 3Equation at the end of action 2 : 1 x — - ——— = 0 3 120## Step 3 :

Calculating the Least typical Multiple :3.1 uncover the Least typical Multiple The left denominator is : 3 The ideal denominator is : 120Number the times each prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right3 | 1 | 1 | 1 |

2 | 0 | 3 | 3 |

5 | 0 | 1 | 1 |

Product the allPrime Factors | 3 | 120 | 120 |

Least typical Multiple: 120

Calculating multipliers :3.2 calculation multipliers for the 2 fractions signify the Least typical Multiple by L.C.M signify the Left Multiplier through Left_M denote the best Multiplier by Right_M represent the Left Deniminator by L_Deno represent the right Multiplier through R_DenoLeft_M=L.C.M/L_Deno=40Right_M=L.C.M/R_Deno=1

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

L. Mult. • L. Num. 40 —————————————————— = ——— L.C.M 120 R. Mult. • R.

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Num. X —————————————————— = ——— L.C.M 120Adding fractions that have a typical denominator :3.4 including up the two equivalent fractions add the two equivalent fractions i m sorry now have a typical denominatorCombine the numerators together, put the amount or distinction over the common denominator then reduce to lowest terms if possible:

40 - (x) 40 - x ———————— = —————— 120 120 Equation at the end of step 3 : 40 - x —————— = 0 120

## Step 4 :

When a fraction equals zero :4.1 as soon as a portion equals zero ...Where a portion equals zero, that is numerator, the part which is above the fraction line, should equal zero.Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.Here"s how:40-x ———— • 120 = 0 • 120 120 Now, ~ above the left hand side, the 120 cancels the end the denominator, while, top top the appropriate hand side, zero time anything is quiet zero.The equation currently takes the shape:40-x=0

Solving a single Variable Equation:4.2Solve:-x+40 = 0Subtract 40 indigenous both sides of the equation:-x = -40 main point both sides of the equation by (-1) : x = 40