Question

Expressions that are equivalent to 4 and 5/8

Answer 1

To express \( 4 \frac{5}{8} \) in various equivalent forms, we can convert it to several forms:

1. **Improper Fraction**:
\[
4 \frac{5}{8} = \frac{(4 \times 8) + 5}{8} = \frac{32 + 5}{8} = \frac{37}{8}
\]

2. **Decimal**:
\[
4 \frac{5}{8} = 4 + \frac{5}{8} = 4 + 0.625 = 4.625
\]

3. **Mixed Fraction** (staying as it is since it is already in mixed form):
\[
4 \frac{5}{8}
\]

4. **Expressions with Addition**:
\[
4 + \frac{5}{8}
\]

5. **Expressions with Subtraction**:
\[
5 - \frac{3}{8}
\]
(Since \(5 - \frac{3}{8} = \frac{40}{8} - \frac{3}{8} = \frac{37}{8} = 4 \frac{5}{8}\))

6. **Expressions in terms of other fractions**:
For example,
\[
2 \frac{3}{8} + 2 \frac{2}{8} = 4 \frac{5}{8}
\]

All of these are equivalent expressions to \( 4 \frac{5}{8} \).