x:4=5:10

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

You are watching: Solve for x: 4 over x equals 5 over 10

Step by step Solution

Rearrange:

Rearrange the equation by individually what is come the right of the equal authorize from both sides of the equation : x/4-(5/10)=0

Step 1 :

1 leveling — 2Equation in ~ the finish of action 1 : x 1 — - — = 0 4 2

Step 2 :

x simplify — 4Equation at the finish of action 2 : x 1 — - — = 0 4 2

Step 3 :

Calculating the Least usual Multiple :3.1 discover the Least common Multiple The left denominator is : 4 The ideal denominator is : 2

Number of times every prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2212
Product of allPrime Factors424

Least common Multiple: 4

Calculating multiplier :

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

Making tantamount Fractions :

3.3 Rewrite the two fractions into equivalent fractionsTwo fractions are dubbed equivalent if they have 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 identical as well. To calculation equivalent portion , main point the numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. X —————————————————— = — L.C.M 4 R. Mult. • R.

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Num. 2 —————————————————— = — L.C.M 4Adding fractions that have actually a typical denominator :3.4 including up the two tantamount fractions add the two identical fractions which now have actually a common denominatorCombine the numerators together, placed the sum or distinction over the usual denominator then alleviate to lowest state if possible:

x - (2) x - 2 ——————— = ————— 4 4 Equation in ~ the end of step 3 : x - 2 ————— = 0 4

Step 4 :

When a portion equals zero :4.1 when a fraction equals zero ...Where a fraction equals zero, that numerator, the component which is above the fraction line, should equal zero.Now,to remove the denominator, Tiger multiplys both sides of the equation by the denominator.Here"s how:

x-2 ——— • 4 = 0 • 4 4 Now, on the left hand side, the 4 cancels out the denominator, while, top top the best hand side, zero times anything is tho zero.The equation currently takes the shape:x-2=0

Solving a single Variable Equation:4.2Solve:x-2 = 0Add 2 to both sides of the equation:x = 2