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Just need to verify if this one needs to be subtracted or no.

jaytheseer

New member
Jan 28, 2014
14
Mr. Gates owns 3/8 of Macrohard. After selling 1/3 of his share, how much more of Macrohard does Mr. Gates still own?
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Yes, I would view the subtraction in the form:

If Mr. Gates sold 1/3 of his share, how much of his share does he have left?

What portion of Macrohard is Mr. Gates' remaining share?
 

jaytheseer

New member
Jan 28, 2014
14
My solution so far:

3/8 = 9/24 and 1/3 = 8/24
9/24 - 8/24 = 1/24

But my book says a totally different thing which confuses me:

3/8 x 1/3 = 1/8.3/8 - 1/8 = 2/8 =1/4

Please help!
 

Deveno

Well-known member
MHB Math Scholar
Feb 15, 2012
1,967
Mr. Gates owns 3/8 of Macrohard. This means that for every 8 shares of Macrohard out there, he owns 3 of them.

1/3 of 3, is of course, 1.

So if he sells 1/3 of his shares, he now only owns 2 shares out of every 8, which is 2/8 = 1/4.

When we take a fraction OF something, it means: "multiply".

So 1/3 OF 3/8 means:

MULTIPLY (1/3)*(3/8), from which we get: (1/3)*(3/8) = 1/8 <---how much he sold.

If we want to know how much he has LEFT, then we SUBTRACT, so:

3/8 - 1/8 = ...?
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
The way I look at it he has 2/3 of his shares left after selling 1/3. So the portion of Macrohard he still owns is:

\(\displaystyle \frac{2}{3}\cdot\frac{3}{8}=\frac{1}{4}\)
 

Prove It

Well-known member
MHB Math Helper
Jan 26, 2012
1,404
The OP is not realising that it is not 1/3 of the block which is being sold, but 1/3 of HIS PART of the block. So 1/3 of 3/8 = 1/3 x 3/8 = 1/8.

So what Mr Gates still owns is what's left after 1/8 of the entire block is removed from his 3/8 of the block, so 3/8 - 1/8 = 2/8 = 1/4.
 

jaytheseer

New member
Jan 28, 2014
14
3/8 - 1/8 = ...?

=2/8
=1/4

Very clear and simple to understand. Thank you!:)