<span>Step 1 :</span> 2
Simplify —
3
<span>Equation at the end of step 1 :</span> 5 2
((— • t) - (— • (t + 4))) - 1 = 0
3 3
<span>Step 2 :</span><span>Equation at the end of step 2 :</span> 5 2 • (t + 4)
((— • t) - ———————————) - 1 = 0
3 3
<span>Step 3 :</span> 5
Simplify —
3
<span>Equation at the end of step 3 :</span> 5 2 • (t + 4)
((— • t) - ———————————) - 1 = 0
3 3
<span>Step 4 :</span>Adding fractions which have a common denominator :
<span> 4.1 </span> Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5t - (2 • (t+4)) 3t - 8
———————————————— = ——————
3 3
<span>Equation at the end of step 4 :</span> (3t - 8)
———————— - 1 = 0
3
<span>Step 5 :</span>Rewriting the whole as an Equivalent Fraction :
<span> 5.1 </span> Subtracting a whole from a fraction
Rewrite the whole as a fraction using <span> 3 </span> as the denominator :
1 1 • 3
1 = — = —————
1 3
<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole
<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
<span> 5.2 </span> 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:
(3t-8) - (3) 3t - 11
———————————— = ———————
3 3
<span>Equation at the end of step 5 :</span> 3t - 11
——————— = 0
3
<span>Step 6 :</span>When a fraction equals zero :<span><span> 6.1 </span> When a fraction equals zero ...</span>
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.
Here's how:
3t-11
————— • 3 = 0 • 3
3
Now, on the left hand side, the <span> 3 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3t-11 = 0
Solving a Single Variable Equation :
<span> 6.2 </span> Solve : 3t-11 = 0<span>
</span>Add 11 to both sides of the equation :<span>
</span> 3t = 11
Divide both sides of the equation by 3:
t = 11/3 = 3.667
One solution was found :
<span>
t = 11/3 = 3.667</span>