Question

Rewrite the fractions 1/4 and 5/6 with a least common denominator

Answer 1

To rewrite the fractions 1/4 and 5/6 with a least common denominator, find the least common multiple (LCM) of the denominators, which is 12. Multiply the numerators and denominators of each fraction by the appropriate factor to obtain the rewritten fractions.

Step-by-step explanation:

To rewrite the fractions 1/4 and 5/6 with a least common denominator, we need to find the least common multiple (LCM) of the denominators, which in this case are 4 and 6.

To find the LCM, we can list the multiples of each denominator until we find a common multiple. For 4, the multiples are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ... And for 6, the multiples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... The first common multiple we find is 12, so that is the least common denominator (LCD).

To rewrite 1/4 with the LCD of 12, we need to multiply both the numerator and the denominator by 3: (1 * 3) / (4 * 3) = 3/12.

To rewrite 5/6 with the LCD of 12, we need to multiply both the numerator and the denominator by 2: (5 * 2) / (6 * 2) = 10/12.

Answer 2

1/4 = 3/12 and 1/6 = 2/12

Step-by-step explanation:

We are given two fractions with denominator 4 and 6.

To find the least common denominator, of 4 and 6.

Factorise 4 and 6.

4 = 2x2

6=2x3

Hence Least common denominator = 2x2x3 =12

Make the given fractions to equivalent fractions with common denominator 12.

1/4 = 1(3)/4(3) = 3/12 and

1/6 = 1(2)/6(2)= 2/12

Hence answer would be

3/12 and 2/12