Question

Use the least common denominator to write an equivalent fraction for each fraction. 5/6 and 2/9

1/12 and3/8


5/9 and 2/15. Those are the 3

Answer 1

To find equivalent fractions using the least common denominator, we need to find the LCM of the denominators for each pair of fractions and multiply accordingly.

Step-by-step explanation:

To write equivalent fractions using the least common denominator, we need to find the least common multiple (LCM) of the denominators for each pair of fractions:

For 5/6 and 2/9:
The LCM of 6 and 9 is 18. Multiply 5/6 by 3/3, and multiply 2/9 by 2/2. This gives us the equivalent fractions 15/18 and 4/18.

For 1/12 and 3/8:
The LCM of 12 and 8 is 24. Multiply 1/12 by 2/2, and multiply 3/8 by 3/3. This gives us the equivalent fractions 2/24 and 9/24.

For 5/9 and 2/15:
The LCM of 9 and 15 is 45. Multiply 5/9 by 5/5, and multiply 2/15 by 3/3. This gives us the equivalent fractions 25/45 and 6/45.

Answer 2

5/6 and 2/9......least common denominator is 18
so 5/6 = 15/18 and 2/9 = 4/18

1/12 and 3/8...least common denominator is 24
so 1/12 = 2/24 and 3/8 = 9/24

5/9 and 2/15...least common denominator is 45
so 5/9 = 24/45 and 2/15 = 6/45