2 whole 8 over 32

Answer 1

To convert the mixed number \(2\frac{8}{32}\) into an improper fraction, you can follow these steps:

1. Multiply the whole number (2) by the denominator of the fraction (32): \[ 2 \times 32 = 64 \]

2. Add the numerator (8) to this result: \[ 64 + 8 = 72 \]

3. The improper fraction is then: \[ \frac{72}{32} \]

Next, simplify \(\frac{72}{32}\). Both the numerator and the denominator can be divided by their greatest common divisor (GCD), which is 8:

\[ \frac{72 \div 8}{32 \div 8} = \frac{9}{4} \]

Thus, \(2\frac{8}{32}\) can be represented as the improper fraction \(\frac{9}{4}\).