The smallest number into which two denominators go evenly is called the ____ ____ denominator
The correct answer is: Least common denominator (LCD).
Explanation:
In formal terms, the lowest common denominator or least common denominator is the lowest common multiple of the denominators of a set of fractions. For example:
\(\frac{2}{3} + \frac{1}{6}\)
In the above example, the denominators of fractions are 3 and 6. The least common denominator can be found by using the following strategy:
Start multiplying both denominators with 1:
13 = 3
16 = 6
Now multiple both of them by 2:
23 = 6
26 = 12
In table form, you can write the above as follows:
1x | 3 | 6 |
2x | 6 | 12 |
As you can see the common is "6". Hence the least common denominator will be 6.
Hence the correct answer is Least common denominator.