Final answer:
Two equivalent fractions for 10/12 can be generated by simplifying it to 5/6, and by scaling up the fraction to 20/24.
Step-by-step explanation:
To generate two equivalent fractions for 10/12, we can either simplify the fraction to its lowest terms or scale it up by multiplying both the numerator and the denominator by the same non-zero number.
A simpler form of 10/12 can be found by dividing both the numerator (10) and the denominator (12) by their greatest common divisor, which is 2. Therefore, one equivalent fraction is:
10 ÷ 2 / 12 ÷ 2
= 5/6
To generate another equivalent fraction, we can multiply both the numerator and the denominator by the same number. Let's choose the number 2:
10 × 2 / 12 × 2
= 20/24
Thus, we have found two equivalent fractions to 10/12: 5/6 and 20/24.