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Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5/6-2/5-(x)=0
3.1 Find the Least Common Multiple
The left denominator is : 6
The right denominator is : 5
| Prime Factor | Left Denominator | Right Denominator | L.C.M = Max {Left,Right} |
|---|---|---|---|
| 2 | 1 | 0 | 1 |
| 3 | 1 | 0 | 1 |
| 5 | 0 | 1 | 1 |
| Product of all Prime Factors | 6 | 5 | 30 |
Least Common Multiple:
30
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 6
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 30 as the denominator :
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
4.2 Adding up the two equivalent fractions
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
Now, on the left hand side, the 30 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
13-30x = 0
5.2 Solve : -30x+13 = 0
Subtract 13 from both sides of the equation :
-30x = -13
Multiply both sides of the equation by (-1) : 30x = 13
Divide both sides of the equation by 30:
x = 13/30 = 0.433
Processing ends successfully
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