(5/6+7/18)/3/2

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




You are watching: Simplify 5 6 7 18 divided by 3 2

Step by action Solution

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Step 1 :

7 leveling —— 18Equation in ~ the end of action 1 : 5 7 — + ——) ÷ 3 ÷ 2 6 18

Step 2 :

5 leveling — 6Equation in ~ the end of action 2 : 5 7 — + ——) ÷ 3 ÷ 2 6 18

Step 3 :

Calculating the Least typical Multiple :3.1 discover the Least common Multiple The left denominator is : 6 The right denominator is : 18

Number the times each prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2111
3122
Product the allPrime Factors61818

Least common Multiple: 18

Calculating multipliers :

3.2 calculate multipliers because that the 2 fractions represent the Least usual Multiple by L.C.M signify the Left Multiplier through Left_M represent the best Multiplier through Right_M signify the Left Deniminator through L_Deno denote the ideal Multiplier by R_DenoLeft_M=L.C.M/L_Deno=3Right_M=L.C.M/R_Deno=1

Making indistinguishable Fractions :

3.3 Rewrite the two fractions into indistinguishable fractionsTwo fractions are dubbed equivalent if they have actually the very same numeric value. For example : 1/2 and 2/4 room equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are indistinguishable as well. To calculate equivalent fraction , main point the molecule of every fraction, through its corresponding Multiplier.

L. Mult. • L. Num. 5 • 3 —————————————————— = ————— L.C.M 18 R. Mult. • R.

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Num. 7 —————————————————— = —— L.C.M 18Adding fractions that have a common denominator :3.4 adding up the two identical fractions include the two tantamount fractions i m sorry now have actually a usual denominatorCombine the numerators together, placed the sum or distinction over the typical denominator then alleviate to lowest state if possible:

5 • 3 + 7 11 ————————— = —— 18 9 Equation at the end of action 3 : 11 —— ÷ 3 ÷ 2 9

Step 4 :

11 divide —— by 3 9 Equation in ~ the end of step 4 : 11 —— ÷ 2 27

Step 5 :

11 divide —— through 2 27

Final an outcome :

11 —— = 0.20370 54