Final answer:
The inequality 9/256 < 1/28 is true because 9/256 is approximately 0.0352 and 1/28 is approximately 0.0357, with 0.0352 being less than 0.0357.
Step-by-step explanation:
The inequality 9/256 < 1/28 is true because 9/256 is approximately 0.0352 and 1/28 is approximately 0.0357, with 0.0352 being less than 0.0357.
The question is asking whether the inequality 9/256 < 1/28 is true. To compare these two fractions, we can find a common denominator or convert them to decimal form. Converting these fractions to decimals:
- 9/256 is approximately 0.0352
- 1/28 is approximately 0.0357
Since 0.0352 is less than 0.0357, the statement 9/256 < 1/28 is indeed true. To further cement the understanding, one can also cross-multiply the fractions: 9 x 28 should be less than 1 x 256.
9 x 28 = 252
1 x 256 = 256
Since 252 is less than 256, this also shows that the original statement is true.