Ratio question

Miles

New member
Joined
Jan 13, 2018
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7
Hi

I'm doing a maths reasoning practice question and I'm wondering why in the solution an eighth is translated as 1 1/8 instead of just 1/8. Please see enclosed.

Plus, can someone point me in the right direction where I can read up on this.

Many thanks

Mmaths_question.jpg
 

JeffM

Elite Member
Joined
Sep 14, 2012
Messages
3,232
Hi

I'm doing a maths reasoning practice question and I'm wondering why in the solution an eighth is translated as 1 1/8 instead of just 1/8. Please see enclosed.

Plus, can someone point me in the right direction where I can read up on this.

Many thanks

MView attachment 9234
If y is bigger than x by 1/8th of x, then

\(\displaystyle y = x + \dfrac{1}{8} * x \equiv \left (1 + \dfrac{1}{8} \right ) * x \equiv \dfrac{9x}{8}.\)

Just different ways to get the same arithmetic result. Really nothing to read up on.
 

Miles

New member
Joined
Jan 13, 2018
Messages
7
If y is bigger than x by 1/8th of x, then

\(\displaystyle y = x + \dfrac{1}{8} * x \equiv \left (1 + \dfrac{1}{8} \right ) * x \equiv \dfrac{9x}{8}.\)

Just different ways to get the same arithmetic result. Really nothing to read up on.
Thanks Jeff, but I need to practice more of these to get a better understanding, so what subject would this come under algebra?
 

Dr.Peterson

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Nov 12, 2017
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Thanks Jeff, but I need to practice more of these to get a better understanding, so what subject would this come under algebra?
This is the same concept as "percent increase". Reading about that may help.

Or, as Jeff showed, it just comes from applying algebra to the problem: "increase x by fraction m" means "add m times x to x itself" (start with x, and increase it by m times itself).
 

Miles

New member
Joined
Jan 13, 2018
Messages
7
This is the same concept as "percent increase". Reading about that may help.

Or, as Jeff showed, it just comes from applying algebra to the problem: "increase x by fraction m" means "add m times x to x itself" (start with x, and increase it by m times itself).
Ah! Now I get it. Thanks
 

stapel

Super Moderator
Staff member
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Feb 4, 2004
Messages
15,943
Thanks Jeff, but I need to practice more of these to get a better understanding, so what subject would this come under algebra?
Fractions and percentages are usually pre-algebra, or before pre-algebra. ;)
 
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