Final answer:
To create equivalent fractions for 1/4, 5/8, and 1/2 using the least common denominator 8, we convert them to 2/8, 5/8, and 4/8 respectively by multiplying the numerators and denominators by the numbers required to reach the denominator of 8.
Step-by-step explanation:
To find equivalent fractions for 1/4, 5/8, and 1/2 using the least common denominator (LCD), we first need to determine the LCD of the denominators 4, 8, and 2. The LCD for these numbers is 8 because it is the smallest number that all the original denominators divide into evenly. Once we have the LCD, we can convert each fraction to an equivalent fraction with the denominator of 8.
- For 1/4, we multiply both the numerator and the denominator by 2 to get 2/8.
- For 5/8, it's already in terms of the LCD, so it remains 5/8.
- For 1/2, we multiply both the numerator and the denominator by 4 to get 4/8.
Thus, the equivalent fractions with a denominator of 8 are 2/8, 5/8, and 4/8 for 1/4, 5/8, and 1/2 respectively.