The easiest way to compare fractions is by having a common denominator for both fractions.
This is because, when the denominator is the same in both fractions, we will simply compare the numerators and the greater fraction will be the one having greater numerator
Part 1:
The first given fraction is [tex] \frac{7}{12} [/tex]
The second given fraction is [tex] \frac{1}{3} [/tex]
We can make the denominator in the second one equal to 12 by multiplying it by 4.
However, to preserve the value of the fraction, we will multiply it by [tex] \frac{4}{4} [/tex]
This will give us:
[tex] \frac{1}{3} [/tex] * [tex] \frac{4}{4} [/tex] = [tex] \frac{4}{12} [/tex]
Now, the two fractions became [tex] \frac{4}{12} [/tex] and [tex] \frac{7}{12} [/tex]
The denominator is the same, so we will compare numerators.
Since 7 is greater than 4, therefore:
[tex] \frac{7}{12} [/tex] is the greater fraction
Part 2:
The first given fraction is [tex] \frac{7}{12} [/tex]
The second given fraction is [tex] \frac{2}{3} [/tex]
We can make the denominator in the second one equal to 12 by multiplying it by 4.
However, to preserve the value of the fraction, we will multiply it by [tex] \frac{4}{4} [/tex]
This will give us:
[tex] \frac{2}{3} [/tex] * [tex] \frac{4}{4} [/tex] = [tex] \frac{8}{12} [/tex]
Now, the two fractions became [tex] \frac{8}{12} [/tex] and [tex] \frac{7}{12} [/tex]
The denominator is the same, so we will compare numerators.
Since 8 is greater than 7, therefore:
[tex] \frac{8}{12} [/tex] is the greater fraction
Hope this helps :)
