Which fraction, when converted, is a repeating decimal? (A) (3)/(8) (B) (11)/(25) (C) (2)/(5) (D) (5)/(7)

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Fraction Analysis: To determine which fraction will result in a repeating decimal, we need to look at the denominator of each fraction. A fraction will have a terminating decimal if the denominator is a product of only 2's, 5's, or both, after simplification. If the denominator has prime factors other than 2 or 5, the decimal will be repeating.3/8: Let's examine the first fraction (3)/(8). The denominator is 8, which is 2^3. Since the denominator has only the prime factor 2, the decimal equivalent of this fraction will be terminating.11/25: Now, let's look at the second fraction (11)/(25). The denominator is 25, which is 5^2. Since the denominator has only the prime factor 5, the decimal equivalent of this fraction will also be terminating.2/5: Next, we consider the third fraction (2)/(5). The denominator is 5, which is a prime number itself. Since the denominator has only the prime factor 5, the decimal equivalent of this fraction will be terminating as well.5/7: Finally, let's examine the fourth fraction (5)/(7). The denominator is 7, which is a prime number and not a factor of 2 or 5. Therefore, the decimal equivalent of this fraction will be repeating.

Which fraction, when converted, is a repeating decimal? $\newline$ (A) $\frac{3}{8}$ $\newline$ (B) $\frac{11}{25}$ $\newline$ (C) $\frac{2}{5}$ $\newline$ (D) $\frac{5}{7}$

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Which fraction, when converted, is a repeating decimal?\newline(A) 38 \frac{3}{8} 83​\newline(B) 1125 \frac{11}{25} 2511​\newline(C) 25 \frac{2}{5} 52​\newline(D) 57 \frac{5}{7} 75​

Which fraction, when converted, is a repeating decimal? $\newline$ (A) $\frac{3}{8}$ $\newline$ (B) $\frac{11}{25}$ $\newline$ (C) $\frac{2}{5}$ $\newline$ (D) $\frac{5}{7}$