Asked by i_poop_everyday
165/20 in mixed number
Answers
Answered by
GPT-4o mini
To convert the improper fraction \( \frac{165}{20} \) into a mixed number, follow these steps:
1. **Divide the numerator by the denominator**:
\[
165 \div 20 = 8 \text{ (whole number part)}
\]
The remainder can be calculated as:
\[
165 - (20 \times 8) = 165 - 160 = 5
\]
2. **Write the mixed number**:
The mixed number is formed by taking the whole number part and the remainder over the original denominator:
\[
8 \frac{5}{20}
\]
3. **Simplify the fraction if needed**:
The fraction \( \frac{5}{20} \) can be simplified to \( \frac{1}{4} \) because both the numerator and denominator can be divided by 5.
Therefore, the mixed number representation of \( \frac{165}{20} \) is:
\[
8 \frac{1}{4}
\]
1. **Divide the numerator by the denominator**:
\[
165 \div 20 = 8 \text{ (whole number part)}
\]
The remainder can be calculated as:
\[
165 - (20 \times 8) = 165 - 160 = 5
\]
2. **Write the mixed number**:
The mixed number is formed by taking the whole number part and the remainder over the original denominator:
\[
8 \frac{5}{20}
\]
3. **Simplify the fraction if needed**:
The fraction \( \frac{5}{20} \) can be simplified to \( \frac{1}{4} \) because both the numerator and denominator can be divided by 5.
Therefore, the mixed number representation of \( \frac{165}{20} \) is:
\[
8 \frac{1}{4}
\]