How do you simplify the fraction \frac{18}{24} ?

amolent3u 2021-12-29 Answered
How do you simplify the fraction \(\displaystyle{\frac{{{18}}}{{{24}}}}\) ?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

turtletalk75
Answered 2021-12-30 Author has 566 answers
Explanation:
When simplifying a fraction you always would like to find a common number that goes into both the denominator and numerator, so both values can be simplified by that common number. This number has to be the highest value that can fit into both numbers.
As 18 is the lowest number, that common number must be \(\displaystyle\le{18}\). By trial and improvement, we can conclude that 6 is the highest common multiple that can fit into both numbers. Therefore we divide both 18 and 24 by 6 to simplify the fraction.
\(\displaystyle{\frac{{{18}}}{{{24}}}}\to{\frac{{34}}{}}\)
As..
\(\displaystyle{\frac{{{18}}}{{{6}}}}={3}\)
\(\displaystyle{\frac{{{24}}}{{{6}}}}={4}\)
\(\displaystyle{\frac{{{18}}}{{{24}}}}\to{\frac{{{3}}}{{{4}}}}\)
Not exactly what you’re looking for?
Ask My Question
0
 
Medicim6
Answered 2021-12-31 Author has 1703 answers
Explanation:
I will show two methods:
Method 1:
We can rewrite 18 as \(\displaystyle{2}\cdot{3}\cdot{3}\) and 24 as \(\displaystyle{2}\cdot{3}\cdot{4}\). This may seem strange, but it will prove to be very useful. Our new fraction is:
\(\displaystyle{\frac{{{2}\cdot{3}\cdot{3}}}{{{2}\cdot{3}\cdot{4}}}}\)
\(\displaystyle{\frac{{{2}\cdot{3}\cdot{3}}}{{{2}\cdot{3}\cdot{4}}}}\)
Here, the 2s and 3s on the top and bottom will cancel, and we're just left with \(\displaystyle{\frac{{34}}{}}\)
Method 2:
Alternatively, this is the more traditional method. We need to divide the numerator and denominator by a common factor. We can divide by 6 to get:
\(\displaystyle{\frac{{34}}{}}\)
0
nick1337
Answered 2022-01-08 Author has 9467 answers

Explanation:
The first thing to recognize is that \(18=2\cdot9=2\cdot3\cdot3\) and
\(24=2\cdot12=2\cdot2\cdot6=2\cdot2\cdot2\cdot3\)
So, \(\frac{18}{24}=\frac{2\cdot3\cdot3}{2\cdot2\cdot2\cdot3}\)
From here, you can cancel terms appearing in both the numerator and denominator:
\(\frac{2\cdot3\cdot3}{2\cdot2\cdot2\cdot3}=\frac{3}{2\cdot2}=\frac34\)

0

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more
...