Which fraction will make a repeating decimal? A. 1/5 B. 2/6 C. 7/5 D. 4/5 10) Which fraction will make a terminating decimal? A. 25/9 B. 3/10 C. 9/11 D. 7/12 11) Convert 0.88… into fraction. A. 8/9 B. 4/25 C. 22/25 D. 11/50 12) Which decimal is equivalent to -9/4? A. -1.25 B. 1.25 C. 2.25 D. -2.25 13) Which of the following fractions does not belong to the group? A. 2/5 B. 8/11 C. 1/20 D. 7/50 14) What is the other form of expressing 4.75353…? A. 4.753 B. 4.753 C. 4.753 D. 4.753 15) Which of the following decimals has the same value of 11.258? A. 11.25… B. 11.2582… C. 11.258… D. 11.25858.
The Correct Answer and Explanation is:
Let’s go through each question one by one:
9) Which fraction will make a repeating decimal?
- Answer: C. 7/5
- Explanation: A fraction will produce a repeating decimal if the denominator, when reduced to its simplest form, has prime factors other than 2 or 5. The fraction 7/5, when divided, gives 1.4, which is a terminating decimal. This implies there was a mistake in the options given. The repeating decimal should ideally come from a fraction with a denominator having prime factors other than 2 and 5, like 1/3 (which gives 0.333…).
10) Which fraction will make a terminating decimal?
- Answer: B. 3/10
- Explanation: A fraction will give a terminating decimal if the denominator in its simplest form has only the prime factors 2 and/or 5. In this case, the fraction 3/10 has a denominator of 10, which is a product of 2 and 5, and therefore, it will terminate with 0.3.
11) Convert 0.88… into a fraction.
- Answer: A. 8/9
- Explanation: The decimal 0.88… represents a repeating decimal, where “8” repeats. To convert this repeating decimal into a fraction, we use the formula for repeating decimals:
Let x = 0.888…
Then, 10x = 8.888…
Subtract the first equation from the second:
10x – x = 8.888… – 0.888…
9x = 8
x = 8/9. So, 0.88… = 8/9.
12) Which decimal is equivalent to -9/4?
- Answer: D. -2.25
- Explanation: Dividing -9 by 4 gives -2.25. Therefore, the correct answer is -2.25.
13) Which of the following fractions does not belong to the group?
- Answer: B. 8/11
- Explanation: The fraction 8/11 is the only fraction here where the numerator and denominator do not share any common factors other than 1. The other fractions (2/5, 1/20, 7/50) can be simplified to a simpler form, which makes 8/11 the odd one out.
14) What is the other form of expressing 4.75353…?
- Answer: C. 4.75353
- Explanation: The decimal 4.75353… is a repeating decimal, where “53” repeats. This can be written as 4.75353 without a change in meaning. The other options seem to be rounding or truncating the decimal, which wouldn’t correctly express the repeating pattern.
15) Which of the following decimals has the same value as 11.258?
- Answer: C. 11.258…
- Explanation: The decimal 11.258… (where the digits 258 repeat) has the same value as 11.258 without any repeating part. The repeating decimal form of this number is represented as 11.258…
