Question

Rewrite both fractions in each pair using common denominators 4/4, 7/12.

a)7/12, 7/12
b) 1/1, 7/12
c) 1/3, 7/12
d) 3/3, 7/12
​

Answer 1

The fractions 7/12 and 1/1 become 7/12 and 12/12 with a common denominator of 12. The fractions 1/3 and 7/12 become 4/12 and 7/12, and the fractions 3/3 and 7/12 become 12/12 and 7/12, all with common denominators of 12.

Step-by-step explanation:

The task is to rewrite fractions using a common denominator. Here are the pairs of fractions with their common denominators:

1. 7/12, 7/12 - Already have a common denominator, so they remain unchanged.
2. 1/1, 7/12 - To find a common denominator, we look at the denominators 1 and 12. The least common multiple is 12. Thus, we rewrite 1/1 as 12/12 to match the denominator of 7/12.
3. 1/3, 7/12 - The least common multiple of 3 and 12 is 12. Multiplying the numerator and denominator of 1/3 by 4 gives us 4/12, which now has the same denominator as 7/12.
4. 3/3, 7/12 - Similar to the second pair, 3/3 can be rewritten as 12/12 to obtain the common denominator of 12.

The process of finding a common denominator is crucial for operations such as adding and subtracting fractions, as it allows us to work with equivalent fractions that have the same denominators.