Final answer:
The equivalent fractions for 5/12 and 1/8 using the least common denominator of 24 are 10/24 and 3/24, respectively.
Step-by-step explanation:
To find equivalent fractions for 5/12 and 1/8 using the least common denominator (LCD), we first need to determine the LCD for both denominators. The denominators are 12 and 8. The least common multiple of these numbers is 24, which will be our LCD. We now express each fraction with a denominator of 24.
To convert 5/12 to have a denominator of 24, we find the factor that when multiplied by 12 gives us 24. This factor is 2. Thus, we multiply both the numerator and the denominator of 5/12 by 2:
5/12 x 2/2 = 10/24
For 1/8, we do a similar process. The factor that when multiplied by the 8 gives us 24 is 3. We multiply both the numerator and the denominator of 1/8 by 3:
1/8 x 3/3 = 3/24
So the equivalent fractions for 5/12 and 1/8 using the LCD of 24 are 10/24 and 3/24, respectively.