### 4/5x1-1/6

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

You are watching: 4/5x1 1/6

## Step by action Solution

### Reformatting the input :

Changes made to her input need to not affect the solution: (1): "x1" was replaced by "x^1".

## Step 1 :

1 leveling — 6Equation at the end of step 1 : 4 1 (— • (x1)) - — 5 6

## step 2 :

4 simplify — 5Equation in ~ the finish of action 2 : 4 1 (— • x) - — 5 6

## Step 3 :

Equation in ~ the finish of action 3 : 4x 1 —— - — 5 6

## Step 4 :

Calculating the Least typical Multiple :4.1 uncover the Least common Multiple The left denominator is : 5 The appropriate denominator is : 6

Number the times each prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
5101
2011
3011
Product the allPrime Factors5630

Least typical Multiple: 30

Calculating multiplier :

4.2 calculation multipliers for the 2 fractions signify the Least typical Multiple by L.C.M represent the Left Multiplier through Left_M signify the best Multiplier by Right_M denote the Left Deniminator by L_Deno denote the right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=6Right_M=L.C.M/R_Deno=5

Making identical Fractions :

4.3 Rewrite the two fractions into equivalent fractionsTwo fractions are called equivalent if they have the exact same numeric value. For instance : 1/2 and 2/4 space equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are indistinguishable as well. To calculation equivalent portion , main point the molecule of every fraction, by its particular Multiplier.

L. Mult. • L. Num. 4x • 6 —————————————————— = —————— L.C.M 30 R. Mult. • R.

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Num. 5 —————————————————— = —— L.C.M 30Adding fractions that have actually a typical denominator :4.4 including up the two tantamount fractions add the two tantamount fractions which now have actually a typical denominatorCombine the numerators together, put the sum or distinction over the usual denominator then mitigate to lowest terms if possible:

4x • 6 - (5) 24x - 5 ———————————— = ——————— 30 30

## Final result :

24x - 5 ——————— 30