Question

1. which decimal is equivalent to 1.55555? a. $1\frac{5}{9}$ b. $\frac{15}{9}$ c. $\frac{15}{10}$ d. $1\frac{5}{10}$

Explanation:

Step1: Analyze Option A

Convert \(1\frac{5}{9}\) to decimal. First, \( \frac{5}{9}=0.555\cdots\), so \(1\frac{5}{9} = 1 + 0.555\cdots=1.555\cdots\) which matches \(1.555555\) (since it's a repeating decimal approximation).

Step2: Analyze Option B

Simplify \(\frac{15}{9}=\frac{5}{3}\approx1.666\cdots\), which is not equal to \(1.555555\).

Step3: Analyze Option C

Simplify \(\frac{15}{10} = 1.5\), which is not equal to \(1.555555\).

Step4: Analyze Option D

Convert \(1\frac{5}{10}\) to decimal. \( \frac{5}{10}=0.5\), so \(1\frac{5}{10}=1.5\), which is not equal to \(1.555555\).

Answer:

A. \(1\frac{5}{9}\)