2 whole 8 over 32

Answer 1

To convert the mixed number \(2 \frac{8}{32}\) into an improper fraction, first convert the whole number into a fraction.

1. Convert the whole number to a fraction:

   • The whole number is 2, which can be expressed as \(\frac{2 \times 32}{32} = \frac{64}{32}\).

2. Add the fraction:

   • Now, add \(\frac{64}{32}\) (the whole number in fraction form) and \(\frac{8}{32}\): \[ \frac{64}{32} + \frac{8}{32} = \frac{64 + 8}{32} = \frac{72}{32} \]

3. Simplify the fraction:

   • Both 72 and 32 can be divided by 8: \[ \frac{72 \div 8}{32 \div 8} = \frac{9}{4} \]

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