### 1/3−1/4−1/5

This solution giao dịch with adding, subtracting và finding the least common multiple.

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## Step by Step Solution ## Step 1 :

1 Simplify — 5Equation at the end of step 1 : 1 1 1 (— - —) - — 3 4 5

## Step 2 :

1 Simplify — 4Equation at the over of step 2 : 1 1 1 (— - —) - — 3 4 5

## Step 3 :

1 Simplify — 3Equation at the end of step 3 : 1 1 1 (— - —) - — 3 4 5

## Step 4 :

Calculating the Least Common Multiple :4.1 Find the Least Common Multiple The left denominator is : 3 The right denominator is : 4

Number of times each prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
3101
2022
Product of allPrime Factors3412

Least Common Multiple: 12

Calculating Multipliers :

4.2 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_DenoLeft_M=L.C.M/L_Deno=4Right_M=L.C.M/R_Deno=3

Making Equivalent Fractions :

4.3 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 và (y2+y)/(y+1)3 are equivalent as well. Lớn calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 4 —————————————————— = —— L.C.M 12 R. Mult. • R. Num. 3 —————————————————— = —— L.C.M 12Adding fractions that have a common denominator :4.4 Adding up the two equivalent fractions địa chỉ cửa hàng the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce lớn lowest terms if possible:

4 - (3) 1 ——————— = —— 12 12Equation at the kết thúc of step 4 : 1 1 —— - — 12 5

## Step 5 :

Calculating the Least Common Multiple :5.1 Find the Least Common Multiple The left denominator is : 12 The right denominator is : 5

Number of times each prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2202
3101
5011
Product of allPrime Factors12560

Least Common Multiple: 60

Calculating Multipliers :

5.2 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_DenoLeft_M=L.C.M/L_Deno=5Right_M=L.C.M/R_Deno=12

Making Equivalent Fractions :

5.3 Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. 5 —————————————————— = —— L.C.M 60 R. Mult. • R.

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Num. 12 —————————————————— = —— L.C.M 60Adding fractions that have a common denominator :5.4 Adding up the two equivalent fractions