4/7=x/14

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




You are watching: What is 4/7 of 14

Step by action Solution

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Rearrange:

Rearrange the equation by subtracting what is to the appropriate of the equal authorize from both sides of the equation : 4/7-(x/14)=0

Step by action solution :

Step 1 :

x leveling —— 14Equation in ~ the end of step 1 : 4 x — - —— = 0 7 14

Step 2 :

4 simplify — 7Equation at the end of step 2 : 4 x — - —— = 0 7 14

Step 3 :

Calculating the Least usual Multiple :3.1 find the Least usual Multiple The left denominator is : 7 The right denominator is : 14

Number that times every prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
7111
2011
Product the allPrime Factors71414

Least usual Multiple: 14

Calculating multiplier :

3.2 calculate multipliers for the two fractions signify the Least typical Multiple by L.C.M signify the Left Multiplier through Left_M represent the appropriate Multiplier through Right_M denote the Left Deniminator by L_Deno signify the appropriate Multiplier by R_DenoLeft_M=L.C.M/L_Deno=2Right_M=L.C.M/R_Deno=1

Making indistinguishable Fractions :

3.3 Rewrite the two fractions into equivalent fractionsTwo fractions are referred to as equivalent if they have actually the exact same numeric value. For example : 1/2 and also 2/4 room equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are tantamount as well. To calculate equivalent portion , multiply the molecule of every fraction, by its corresponding Multiplier.

L. Mult. • L. Num. 4 • 2 —————————————————— = ————— L.C.M 14 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 14Adding fountain that have a usual denominator :3.4 including up the two identical fractions add the two tantamount fractions i m sorry now have a common denominatorCombine the molecule together, put the amount or difference over the usual denominator then alleviate to lowest state if possible:

4 • 2 - (x) 8 - x ——————————— = ————— 14 14 Equation in ~ the end of action 3 : 8 - x ————— = 0 14

Step 4 :

When a portion equals zero :4.1 as soon as a fraction equals zero ...Where a fraction equals zero, its numerator, the part which is over the fraction line, need to equal zero.Now,to remove the denominator, Tiger multiplys both political parties of the equation by the denominator.Here"s how:

8-x ——— • 14 = 0 • 14 14 Now, on the left hand side, the 14 cancels the end the denominator, while, on the best hand side, zero time anything is quiet zero.The equation currently takes the shape:8-x=0

Solving a single Variable Equation:4.2Solve:-x+8 = 0Subtract 8 native both sides of the equation:-x = -8 multiply both sides of the equation through (-1) : x = 8