Simplify 7/ 2
<span> 7
(0 - (— • u)) - -35 = 0
2
</span>
Subtracting a whole from a fraction
Rewrite the whole as a fraction using <span> 2 </span> as the denominator :
-35 -35 • 2
-35 = ——— = ———————
1 2
<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 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:
<span> -7u - (-35 • 2)/2 = 70 - 7u/2
</span>
<span> 3.1 </span> Pull out like factors :
70 - 7u = -7 • (u - 10)
<span>-7 • (u - 10) /2 = 0
</span><span><span> 4.1 </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:
<span> -7•(u-10) /2 • 2 = 0 • 2
</span>
Now, on the left hand side, the <span> 2 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-7 • (u-10) = 0
Solve : <span> -7 = 0
</span><span>A non-zero constant never equals zero.
</span>Add 10 to both sides of the equation :<span>
</span> u = 10<span> </span>