### 3/4=x/60

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

You are watching: What is 3/4 of 60

## Step by step Solution

### Rearrange:

Rearrange the equation by subtracting what is to the right of the equal authorize from both sides of the equation : 3/4-(x/60)=0## Step by step solution :

## Step 1 :

x simplify —— 60Equation in ~ the finish of action 1 : 3 x — - —— = 0 4 60

## Step 2 :

3 simplify — 4Equation at the end of action 2 : 3 x — - —— = 0 4 60## Step 3 :

Calculating the Least usual Multiple :3.1 find the Least common Multiple The left denominator is : 4 The best denominator is : 60Number the times each prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right2 | 2 | 2 | 2 |

3 | 0 | 1 | 1 |

5 | 0 | 1 | 1 |

Product that allPrime Factors | 4 | 60 | 60 |

Least typical Multiple: 60

Calculating multipliers :3.2 calculation multipliers because that the two fractions denote the Least usual Multiple through L.C.M represent the Left Multiplier through Left_M signify the best Multiplier by Right_M denote the Left Deniminator by L_Deno represent the best Multiplier by R_DenoLeft_M=L.C.M/L_Deno=15Right_M=L.C.M/R_Deno=1

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

L. Mult. • L. Num. 3 • 15 —————————————————— = —————— L.C.M 60 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 60Adding fountain that have actually a common denominator :3.4 including up the two identical fractions include the two identical fractions i beg your pardon now have actually a typical denominatorCombine the molecule together, placed the sum or difference over the usual denominator then reduce to lowest terms if possible:

3 • 15 - (x) 45 - x ———————————— = —————— 60 60 Equation in ~ the end of action 3 : 45 - x —————— = 0 60

## Step 4 :

When a portion equals zero :4.1 when a portion equals zero ...Where a fraction equals zero, its numerator, the component which is over the fraction line, should equal zero.Now,to remove the denominator, Tiger multiplys both sides of the equation by the denominator.Here"s how:45-x ———— • 60 = 0 • 60 60 Now, on the left hand side, the 60 cancels the end the denominator, while, top top the appropriate hand side, zero times anything is quiet zero.The equation now takes the shape:45-x=0

Solving a single Variable Equation:4.2Solve:-x+45 = 0Subtract 45 from both sides of the equation:-x = -45 main point both political parties of the equation by (-1) : x = 45