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..

\(\displaystyle{\frac{{{18}}}{{{6}}}}={3}\)

\(\displaystyle{\frac{{{24}}}{{{6}}}}={4}\)

\(\displaystyle{\frac{{{18}}}{{{24}}}}\to{\frac{{{3}}}{{{4}}}}\)

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..

\(\displaystyle{\frac{{{18}}}{{{6}}}}={3}\)

\(\displaystyle{\frac{{{24}}}{{{6}}}}={4}\)

\(\displaystyle{\frac{{{18}}}{{{24}}}}\to{\frac{{{3}}}{{{4}}}}\)