Improper fraction equivalent to 5 3/4

Question

46/4
23/3
46/8
34/8

Answer 1

To convert the mixed number \(5 \frac{3}{4}\) into an improper fraction, you follow these steps:

1. Multiply the whole number (5) by the denominator (4):
   \(5 \times 4 = 20\)

2. Add the result to the numerator (3):
   \(20 + 3 = 23\)

3. The improper fraction will have this sum as the numerator and the original denominator (4) as the denominator:
   Thus, \(5 \frac{3}{4} = \frac{23}{4}\).

Now, let's check which of the provided options matches this fraction.

• \( \frac{46}{4} = 11.5\) (not equal)
• \( \frac{23}{3} \approx 7.67\) (not equal)
• \( \frac{46}{8} = 5.75\) (not equal)
• \( \frac{34}{8} = 4.25\) (not equal)

None of the given options is equivalent to \( \frac{23}{4} \).

It seems like no option provided corresponds to \(5 \frac{3}{4}\).