3:7=x:56

This encounters adding, subtracting and finding the least typical multiple.




You are watching: What is 3/7 of 56

Step by step Solution

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Rearrange:

Rearrange the equation by subtracting what is come the right of the equal authorize from both sides of the equation : 3/7-(x/56)=0

Step by action solution :

Step 1 :

x leveling —— 56Equation at the end of step 1 : 3 x — - —— = 0 7 56

Step 2 :

3 simplify — 7Equation at the end of action 2 : 3 x — - —— = 0 7 56

Step 3 :

Calculating the Least typical Multiple :3.1 discover the Least typical Multiple The left denominator is : 7 The best denominator is : 56

Number the times every prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
7111
2033
Product that allPrime Factors75656

Least typical Multiple: 56

Calculating multiplier :

3.2 calculate multipliers for the 2 fractions denote the Least typical Multiple by L.C.M signify the Left Multiplier through Left_M represent the ideal Multiplier by Right_M represent the Left Deniminator through L_Deno represent the right Multiplier through R_DenoLeft_M=L.C.M/L_Deno=8Right_M=L.C.M/R_Deno=1

Making tantamount Fractions :

3.3 Rewrite the 2 fractions into tantamount fractionsTwo fountain are referred to as equivalent if they have actually the very same numeric value. For instance : 1/2 and also 2/4 space equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are identical as well. To calculation equivalent portion , main point the molecule of each fraction, by its particular Multiplier.

L. Mult. • L. Num. 3 • 8 —————————————————— = ————— L.C.M 56 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 56Adding fractions that have actually a usual denominator :3.4 adding up the two tantamount fractions include the two identical fractions i m sorry now have a common denominatorCombine the numerators together, placed the sum or distinction over the typical denominator then alleviate to lowest state if possible:

3 • 8 - (x) 24 - x ——————————— = —————— 56 56 Equation in ~ the end of action 3 : 24 - x —————— = 0 56

Step 4 :

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

24-x ———— • 56 = 0 • 56 56 Now, ~ above the left hand side, the 56 cancels out the denominator, while, on the best hand side, zero time anything is quiet zero.The equation now takes the shape:24-x=0

Solving a single Variable Equation:4.2Solve:-x+24 = 0Subtract 24 native both sides of the equation:-x = -24 multiply both political parties of the equation by (-1) : x = 24