LCM = 3612x14+7*18-31*6/36168+126-186/36=3

= (28 + 21 - 31) / 6= 3

3 is the best answer

14/3+7/2-31/6

Final result :

3

Step by step solution :

Step1:

31 Simplify —— 6

Equation at the end of step1:

14 7 31 (—— + —) - —— 3 2 6

Step2:

7 Simplify — 2

Equation at the end of step2:

14 7 31 (—— + —) - —— 3 2 6

Step3:

14 Simplify —— 3

Equation at the end of step3:

14 7 31 (—— + —) - —— 3 2 6

Step4:

Calculating the Least Common Multiple :

4.1 Find the Least Common Multiple

The leftdenominatoris : 3

The rightdenominatoris : 2

Number of times each prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = Max{Left,Right}31012011Product of allPrime Factors326

Least Common Multiple:6

Calculating Multipliers :

4.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple byL.C.M Denote the Left Multiplier byLeft_M Denote the Right Multiplier byRight_M Denote the Left Deniminator byL_Deno Denote the Right Multiplier byR_Deno

Left_M=L.C.M/L_Deno=2

Right_M=L.C.M/R_Deno=3

Making Equivalent Fractions :

4.3 Rewrite the two fractions intoequivalent fractions

Two fractions are calledequivalentif they have thesame numeric value.

For example : 1/2 and2/4are equivalent,y/(y+1)2and(y2+y)/(y+1)3are equivalent as well.

To calculateequivalent fraction, multiply theNumeratorof each fraction, by its respectiveMultiplier.

L. Mult. • L. Num. 14 • 2 —————————————————— = —————— L.C.M 6 R. Mult. • R. Num. 7 • 3 —————————————————— = ————— L.C.M 6

Adding fractions that have a common denominator :

4.4 Adding up the two equivalent fractionsAdd the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

14 • 2 + 7 • 3 49 —————————————— = —— 6 6

Equation at the end of step4:

49 31 —— - —— 6 6

Step5:

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

49 - (31) 3 ————————— = — 6 1

Final result :

3

Processing ends successfully

14/3+7/2-31/6

Final result :

3

Step by step solution :

Step1:

31 Simplify —— 6

Equation at the end of step1:

14 7 31 (—— + —) - —— 3 2 6

Step2:

7 Simplify — 2

Equation at the end of step2:

14 7 31 (—— + —) - —— 3 2 6

Step3:

14 Simplify —— 3

Equation at the end of step3:

14 7 31 (—— + —) - —— 3 2 6

Step4:

Calculating the Least Common Multiple :

4.1 Find the Least Common Multiple

The leftdenominatoris : 3

The rightdenominatoris : 2

Number of times each prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = Max{Left,Right}31012011Product of allPrime Factors326

Least Common Multiple:6

Calculating Multipliers :

4.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple byL.C.M Denote the Left Multiplier byLeft_M Denote the Right Multiplier byRight_M Denote the Left Deniminator byL_Deno Denote the Right Multiplier byR_Deno

Left_M=L.C.M/L_Deno=2

Right_M=L.C.M/R_Deno=3

Making Equivalent Fractions :

4.3 Rewrite the two fractions intoequivalent fractions

Two fractions are calledequivalentif they have thesame numeric value.

For example : 1/2 and2/4are equivalent,y/(y+1)2and(y2+y)/(y+1)3are equivalent as well.

To calculateequivalent fraction, multiply theNumeratorof each fraction, by its respectiveMultiplier.

L. Mult. • L. Num. 14 • 2 —————————————————— = —————— L.C.M 6 R. Mult. • R. Num. 7 • 3 —————————————————— = ————— L.C.M 6

Adding fractions that have a common denominator :

4.4 Adding up the two equivalent fractionsAdd the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

14 • 2 + 7 • 3 49 —————————————— = —— 6 6

Equation at the end of step4:

49 31 —— - —— 6 6

Step5:

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

49 - (31) 3 ————————— = — 6 1

Final result : 3

LCM of 3, 2 & 6 is 36=14×12/3×12 + 7×18/2×18 - 31×6/6×6= 168/36 + 126/36 - 186/36=168+126-186/36=108/36=3 is your answer of the given question.

=(28+21 ‐31)/6 = 3 answer

3 is correct answer.

3,2,6 L.C.M. = 6= (28+21-31)/6= (49-31)/6= 18/6=3

LCM=62×14+3×7-1×3128+21-3118

3 is correct answer

lcm = 3612×14+7*18-31*6/36168+126-186/36=3 ANS

3 is best answer for this question