Final answer:
The statement '-3/4 < 2/3' is true because when converting the fractions to have a common denominator of 12, -3/4 becomes -9/12 and 2/3 becomes 8/12, and -9/12 is clearly less than 8/12.Therefore, the answer is a) True
Step-by-step explanation:
The comparison statement, -3/4 < 2/3, is asking whether the fraction -3/4 is less than the fraction 2/3. To compare these fractions, we need to find a common denominator or visualize the fractions on a number line.
A common denominator for 4 and 3 is 12. Thus, we can convert the fractions to have this common denominator:
- -3/4 = -9/12 (since -3 × 3 = -9 and 4 × 3 = 12)
- 2/3 = 8/12 (since 2 × 4 = 8 and 3 × 4 = 12)
Comparing -9/12 and 8/12, we see that -9/12 is less than 8/12, which means -3/4 is indeed less than 2/3. Therefore, the answer is:
a) True