Give an example of fractions that you would compare by finding common denominators and an example of fractions you would compare by finding common numerators.

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

and

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

Now comparing this to  we see that

Therefore

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

and

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

This is how fractions are compared by finding the common denominators.

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step-by-step explanation: