This encounters adding, subtracting and also finding the least usual multiple.
You are watching: 1/4 x 1/2
Step by action Solution
Rearrange:Rearrange the equation by individually what is come the appropriate of the equal sign from both political parties of the equation : 1/2*x+1/4-(x)=0
Step by step solution :
Step 1 :
1 simplify — 4Equation in ~ the finish of step 1 : 1 1 ((— • x) + —) - x = 0 2 4
Step 2 :1 leveling — 2Equation at the finish of action 2 : 1 1 ((— • x) + —) - x = 0 2 4
Step 3 :Calculating the Least common Multiple :3.1 discover the Least typical Multiple The left denominator is : 2 The ideal denominator is : 4
|Product of allPrime Factors||2||4||4|
Least usual Multiple: 4Calculating multiplier :
3.2 calculation multipliers because that the 2 fractions signify the Least common Multiple by L.C.M signify the Left Multiplier by Left_M represent the best Multiplier by Right_M represent the Left Deniminator through L_Deno denote the appropriate Multiplier by R_DenoLeft_M=L.C.M/L_Deno=2Right_M=L.C.M/R_Deno=1Making identical Fractions :
3.3 Rewrite the 2 fractions into identical fractionsTwo fractions are dubbed equivalent if they have actually the very same numeric value. For example : 1/2 and also 2/4 space equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are tantamount as well. To calculate equivalent fraction , multiply the numerator of each fraction, through its respective Multiplier.
L. Mult. • L. Num. X • 2 —————————————————— = ————— L.C.M 4 R. Mult. • R.
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Num. 1 —————————————————— = — L.C.M 4Adding fractions that have a common denominator :3.4 including up the two identical fractions include the two identical fractions i beg your pardon now have actually a typical denominatorCombine the numerators together, placed the sum or difference over the common denominator then alleviate to lowest state if possible:
x • 2 + 1 2x + 1 ————————— = —————— 4 4 Equation at the end of step 3 : (2x + 1) ———————— - x = 0 4
Step 4 :Rewriting the totality as one Equivalent portion :4.1Subtracting a whole from a portion Rewrite the whole as a fraction using 4 as the denominator :
x x • 4 x = — = ————— 1 4 Equivalent fraction : The portion thus created looks different but has the exact same value together the whole usual denominator : The equivalent portion and the other fraction involved in the calculation share the exact same denominatorAdding fractions that have a common denominator :
4.2 including up the two tantamount fractions
(2x+1) - (x • 4) 1 - 2x ———————————————— = —————— 4 4 Equation in ~ the finish of action 4 : 1 - 2x —————— = 0 4
Step 5 :When a portion equals zero :5.1 when a portion equals zero ...Where a fraction equals zero, its numerator, the component which is over the fraction line, should equal zero.Now,to get rid of the denominator, Tiger multiplys both sides of the equation through the denominator.Here"s how:
1-2x ———— • 4 = 0 • 4 4 Now, on the left hand side, the 4 cancels the end the denominator, while, ~ above the appropriate hand side, zero time anything is quiet zero.The equation currently takes the shape:1-2x=0
Solving a single Variable Equation:5.2Solve:-2x+1 = 0Subtract 1 from both sides of the equation:-2x = -1 multiply both sides of the equation through (-1) : 2x = 1 division both sides of the equation by 2:x = 1/2 = 0.500