Simplify: 2/3-1/6 Tiger Algebra Solver

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Step 1 :

1 Simplify — 6

Equation at the end of step 1 :

2 1 — - — 3 6

Step 2 :

2 Simplify — 3

Equation at the end of step 2 :

2 1 — - — 3 6

Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple The left denominator is : 3 The right denominator is : 6

Number of times each prime factor appears in the factorization of:
Prime Factor Left Denominator Right Denominator L.C.M = Max {Left,Right}
3111
2011
Product of all Prime Factors 366

Least Common Multiple: 6

Calculating Multipliers :

3.2 Calculate multipliers for the two fractions Denote the Least Common Multiple by L.C.M Denote the Left Multiplier by Left_M Denote the Right Multiplier by Right_M Denote the Left Deniminator by L_Deno Denote the Right Multiplier by R_Deno Left_M = L.C.M / L_Deno = 2 Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractionsTwo fractions are called equivalent if they have the same numeric value. For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well. To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 2 • 2 —————————————————— = ————— L.C.M 6 R. Mult. • R. Num. 1 —————————————————— = — L.C.M 6

Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 • 2 - (1) 1 ——————————— = — 6 2

Final result :

1 — = 0.50000 2

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