Final answer:
To convert 2/5 to an equivalent fraction with a denominator of 385, we multiply both the numerator and denominator by 77, giving us the fraction 154/385.
Step-by-step explanation:
The question involves converting a fraction to an equivalent fraction with a different denominator. Specifically, we want to convert 2/5 to an equivalent fraction with a denominator of 385. To do this, we must find a number to multiply both the numerator and the denominator of the original fraction (2/5) so that the new denominator is 385.
Since 5 × 77 = 385, we must also multiply the numerator by 77 to maintain the equivalent value. So, 2 × 77 = 154. Therefore, the equivalent fraction is 154/385.
Answer (a) 154/385 is the correct conversion of 2/5 to a fraction with a denominator of 385.