Answer:
Fractions can be compared both by finding the common numerators and denominators.
Step-by-step explanation:
The fractions can be compared by finding the common denominators, as an example consider the fractions
\(\frac{2}{3}\) and \(\frac{5}{6}\)
To compare the two fractions we must find their common denominator, which is the least number divisible by both 3 and 6. The common denominator is 6.
Thus
\(\frac{2}{3}=\frac{2*2}{3*2}=\boxed{\frac{4}{6}.}\)
Now comparing this to \(\frac{5}{6}\) we see that
\(\frac{5}{6}>\frac{4}{6}\)
Therefore
\(\frac{5}{6}>\frac{2}{3}\)
Thus fractions can be compared by finding the common denominators.
The fractions can be compared by finding the common numerators. As an example consider the fractions
\(\frac{7}{2}\) and \(\frac{7}{5}\)
These fractions share the same numerators but different denominators. The denominator of 7/2 is less than that of 7/5, therefore we conclude that
\(\frac{7}{2}>\frac{7}{5}\)
This is how fractions are compared by finding the common denominators.
