Question

Use a benchmark fraction to compare 7 10 ths and 5 12 ths. Explain how you found the answer

Answer 1

By using the benchmark fraction 1/2, we can determine that 7/10 is greater than 5/12, as 7/10 is greater than 1/2 while 5/12 is less than 1/2.

Step-by-step explanation:

To compare 7/10 (or seven tenths) and 5/12 (or five twelfths), we can use a benchmark fraction such as 1/2, which is equivalent to 6/12 or 5/10. Since 7/10 is greater than 5/10, we can tell that 7/10 is greater than 1/2. On the other hand, 5/12 is less than 6/12, which means that 5/12 is less than 1/2. Therefore, 7/10 is greater than 5/12 because it is greater than the benchmark fraction, while 5/12 is less than the benchmark fraction.

Answer 2

Benchmark fractions are created when we make two different fractions have the same numerator or denominator. In thisi case, we will produce the same denominator. The LCM of 10 and 12 is 60. So the fractions become 42/60 and 25/60. Since the fraction with the larger numerator has a larger value when the denominators are the same, 7/10 is larger than 5/12.