x-1/6=1/6

This faces adding, subtracting and also finding the least common multiple.


Tip by Tip Solution

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Rearrange:

Rearrange the equation by subtracting what is to the ideal of the equal sign from both sides of the equation : x-1/6-(1/6)=0

Step by step solution :

Step 1 :

1 Simplify — 6Equation at the finish of action 1 : 1 1 (x - —) - — = 0 6 6

Tip 2 :

1 Simplify — 6Equation at the end of action 2 : 1 1 (x - —) - — = 0 6 6

Step 3 :

Recomposing the whole as an Equivalent Fractivity :3.1Subtracting a fraction from a entirety Rewrite the entirety as a portion making use of 6 as the denominator :

x x • 6 x = — = ————— 1 6 Equivalent fraction : The fraction thus created looks various however has actually the same value as the whole Typical denominator : The tantamount fractivity and also the other fractivity associated in the calculation share the very same denominator

Adding fractions that have a prevalent denominator :3.2 Adding up the two tantamount fractions Add the two indistinguishable fractions which now have a common denominatorCombine the numerators together, put the sum or distinction over the common denominator then alleviate to lowest terms if possible:

x • 6 - (1) 6x - 1 ——————————— = —————— 6 6 Equation at the end of action 3 : (6x - 1) 1 ———————— - — = 0 6 6

Tip 4 :

Adding fractions which have actually a widespread denominator :4.1 Adding fractions which have a widespread denominatorCombine the numerators together, put the sum or difference over the widespread denominator then alleviate to lowest terms if possible:

(6x-1) - (1) 6x - 2 ———————————— = —————— 6 6

Tip 5 :

Pulling out choose terms :5.1 Pull out choose factors:6x - 2=2•(3x - 1)

Equation at the finish of action 5 : 2 • (3x - 1) ———————————— = 0 6

Tip 6 :

When a portion amounts to zero :6.1 When a fraction equals zero ...Where a portion equals zero, its numerator, the part which is above the fractivity line, should equal zero.Now,to remove the denominator, Tiger multiplys both sides of the equation by the denominator.Here"s how:

2•(3x-1) ———————— • 6 = 0 • 6 6 Now, on the left hand side, the 6 cancels out the denominator, while, on the appropriate hand also side, zero times anything is still zero.The equation currently takes the shape:2 • (3x-1)=0

Equations which are never before true:6.2Solve:2=0This equation has actually no solution. A a non-zero constant never before equates to zero.

Solving a Single Variable Equation:6.3Solve:3x-1 = 0Add 1 to both sides of the equation:3x = 1 Divide both sides of the equation by 3:x = 1/3 = 0.333