Question
Express 5 3 over 4 to a terminating decimal
Answers
GPT-4o mini
To convert the mixed number \(5 \frac{3}{4}\) to a terminating decimal, let's break it down into parts.
1. Convert the mixed number to an improper fraction:
\[
5 \frac{3}{4} = 5 + \frac{3}{4} = \frac{5 \times 4 + 3}{4} = \frac{20 + 3}{4} = \frac{23}{4}.
\]
2. Now, divide \(23\) by \(4\):
\[
23 \div 4 = 5.75.
\]
Thus, the terminating decimal representation of \(5 \frac{3}{4}\) is \(5.75\).
1. Convert the mixed number to an improper fraction:
\[
5 \frac{3}{4} = 5 + \frac{3}{4} = \frac{5 \times 4 + 3}{4} = \frac{20 + 3}{4} = \frac{23}{4}.
\]
2. Now, divide \(23\) by \(4\):
\[
23 \div 4 = 5.75.
\]
Thus, the terminating decimal representation of \(5 \frac{3}{4}\) is \(5.75\).