# Is the common denominator always the same as one of the denominators of the given fractions? show examples or counterexamples

• Réponse publiée par: sherelyn0013

Explanation:

A denominator is a number that is found in the bottom of a fraction. A fraction represents a part of a whole, and it must be higher than zero. The denominator describes how many parts are in the whole, while the numerator tells how many parts are available.

There are two ways to find the common denominator of a number of fractions. One is not better than another; they are just different. Try some problems both ways, and then you can choose for yourself which is easiest for you.

The first method involves finding the least common denominator. The least common denominator is the smallest whole number that is divisible by both denominators. To find it, you list the multiples of each denominator and then pick the smallest one.

Try this example:

1 2

- + -

3 7

null

Find the multiples of each denominator

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…

The multiples of 7 are: 7, 14, 21, 28, 35, 42…

The smallest number that 3 and 7 have in common is 21. Therefore, 21 is the least common denominator.

• Réponse publiée par: enrica11