To find the least common denominator (LCD) for the pair of fractions 1/10 and 16/45, we need to find the least common multiple (LCM) of the denominators, which are 10 and 45.
The prime factorization of 10 is 2 × 5.
The prime factorization of 45 is 3² × 5.
To find the LCM, we take the highest power of each prime factor that appears in either prime factorization.
Hence, the LCM (and LCD) of 10 and 45 is 2 × 3² × 5 = 90.
Therefore, the least common denominator is 90.
Find the LCD for the following pair of fractions.
1/10 and 16/45
the least common denominator is ___.
1 answer