Final answer:
To write equivalent fractions with unlike denominators, we need to find the least common multiple (LCM) of the denominators. We can then rewrite the fractions using the LCM as the denominator.
Step-by-step explanation:
To write two fractions with unlike denominators and then write them as equivalent fractions using the least common denominator, we need to find the least common multiple (LCM) of the denominators. Let's go through the options given:
a) 1/3 and 1/4: The LCM of 3 and 4 is 12. Equivalent fractions: 4/12 and 3/12.
b) 1/5 and 1/6: The LCM of 5 and 6 is 30. Equivalent fractions: 6/30 and 5/30.
c) 1/2 and 1/3: The LCM of 2 and 3 is 6. Equivalent fractions: 3/6 and 2/6.
d) 2/7 and 3/8: The LCM of 7 and 8 is 56. Equivalent fractions: 16/56 and 21/56.
So the answers are:
a) 4/12, 3/12
b) 6/30, 5/30
c) 3/6, 2/6
d) 16/56, 21/56