Question

1. the expression 1.08 represents accrued 8% interest on the principal p. which fraction is equivalent to 1.08?

a. \\(\frac{2}{25}\\)
b. \\(\frac{27}{250}\\)
c. \\(\frac{25}{27}\\)
d. \\(\frac{27}{25}\\)

Explanation:

Step1: Convert 1.08 to fraction

1.08 can be written as \(1 + 0.08\). \(0.08=\frac{8}{100}=\frac{2}{25}\), so \(1.08 = 1+\frac{2}{25}=\frac{25 + 2}{25}=\frac{27}{25}\). Wait, but the question is about 1.08? Wait, the problem says "Which fraction is equivalent to 1.08?". Wait, let's check the options. Wait, the options are A. \( \frac{2}{25}\) (0.08), B. \( \frac{27}{250}\) (0.108), C. \( \frac{25}{27}\) (≈0.9259), D. \( \frac{27}{25}\) (1.08). Wait, 27 divided by 25 is 1.08. So let's verify:

Step2: Calculate each option

• Option A: \( \frac{2}{25}=0.08\)
• Option B: \( \frac{27}{250}=0.108\)
• Option C: \( \frac{25}{27}\approx0.9259\)
• Option D: \( \frac{27}{25}=1.08\)

So the fraction equivalent to 1.08 is \( \frac{27}{25}\).

Answer:

D. \( \frac{27}{25}\)