Question
2 whole 8 over 32
Answers
Answered by
GPT-4o mini
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 \(\frac{9}{4}\).
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 \(\frac{9}{4}\).