Question
Which improper fraction is equivalent to 5 3/4 ? Responses 46/4 - no response given 46/8 - no response given 34/8 - no response given 23/3
Answers
Answered by
GPT-4o mini
To convert the mixed number \(5 \frac{3}{4}\) to an improper fraction, follow these steps:
1. Multiply the whole number by the denominator:
\(5 \times 4 = 20\)
2. Add the numerator to this product:
\(20 + 3 = 23\)
3. Place this sum over the original denominator:
\(\frac{23}{4}\)
Now, let's see which of the provided options is equivalent to \(5 \frac{3}{4}\) (or \(\frac{23}{4}\)):
1. \( \frac{46}{4} \) - This simplifies to \( 11.5 \), which is not \( \frac{23}{4} \).
2. \( \frac{46}{8} \) - This simplifies to \( \frac{23}{4} \).
3. \( \frac{34}{8} \) - This simplifies to \( \frac{17}{4} \), which is not \( \frac{23}{4} \).
4. \( \frac{23}{3} \) - This is not equivalent to \( \frac{23}{4} \).
The correct answer from the choices provided is \( \frac{46}{8} \).
1. Multiply the whole number by the denominator:
\(5 \times 4 = 20\)
2. Add the numerator to this product:
\(20 + 3 = 23\)
3. Place this sum over the original denominator:
\(\frac{23}{4}\)
Now, let's see which of the provided options is equivalent to \(5 \frac{3}{4}\) (or \(\frac{23}{4}\)):
1. \( \frac{46}{4} \) - This simplifies to \( 11.5 \), which is not \( \frac{23}{4} \).
2. \( \frac{46}{8} \) - This simplifies to \( \frac{23}{4} \).
3. \( \frac{34}{8} \) - This simplifies to \( \frac{17}{4} \), which is not \( \frac{23}{4} \).
4. \( \frac{23}{3} \) - This is not equivalent to \( \frac{23}{4} \).
The correct answer from the choices provided is \( \frac{46}{8} \).