Which mixed number is equivalent to the improper fraction 3 5/8? Responses 2 7/8 2 and 7 over 8 3 5/8 3 and 5 over 8 4 3/8 4 and 3 over 8 5 3/4

Answer 1

To convert the improper fraction \(3 \frac{5}{8}\) into a mixed number, we first express it as an improper fraction.

1. The whole number part is 3, which is equivalent to \(\frac{3 \times 8}{8} = \frac{24}{8}\).
2. Adding the fractional part \(\frac{5}{8}\) gives: \[ \frac{24}{8} + \frac{5}{8} = \frac{29}{8} \]

This means that \(3 \frac{5}{8}\) is already in mixed number format, where 3 is the whole number and \(\frac{5}{8}\) is the fractional part.

Since it appears you are looking for an equivalent definition of \(3 \frac{5}{8}\), we can clarify that none of the provided answers match it directly, as it could be interpreted that 3 with a fraction, however, if they claimed to offer possibly similar representations towards an improper fraction which 3 5/8 equals to (29/8).

In summarizing your choices:

• The option \(3 \frac{5}{8}\) (or 3 and 5 over 8) correctly represents the number,
• Other options do not accurately represent \(3 \frac{5}{8}\) as mixed or improper.

Thus, the correct equivalent mixed number for the improper fraction \(3 \frac{5}{8}\) is \(3 \frac{5}{8}\).