Final answer:
To find a common denominator for a pair of fractions, multiply the denominators together. Then, write equivalent fractions with the common denominator by multiplying both the numerator and denominator of each fraction.
Step-by-step explanation:
To find a common denominator for a pair of fractions, you need to find a number that is a multiple of both denominators. Once you have the common denominator, you can then write equivalent fractions with that denominator. Let's look at the examples given:
Example 1:
- Original fractions: 1/49 and 3/6
- Denominators: 49 and 6
- Common denominator: 49 * 6 = 294
- Equivalent fractions: 1/49 = (1 * 6)/(49 * 6) = 6/294 and 3/6 = (3 * 49)/(6 * 49) = 147/294
Example 2:
- Original fraction: 0/12 and 15/21
- Denominators: 12 and 21
- Common denominator: 12 * 21 = 252
- Equivalent fractions: 0/12 = (0 * 21)/(12 * 21) = 0/252 and 15/21 = (15 * 12)/(21 * 12) = 180/252
Example 3:
- Original fraction: 911827136/16
- Denominators: 16
- Common denominator: 16
- Equivalent fraction: 911827136/16