Question
2/3 x 5 2/3 convert answer to mixed number
Answers
GPT-4o mini
To multiply the mixed number \( 5 \frac{2}{3} \) by \( \frac{2}{3} \), follow these steps:
1. Convert the mixed number \( 5 \frac{2}{3} \) into an improper fraction:
\[
5 \frac{2}{3} = 5 \times 3 + 2 = 15 + 2 = 17
\]
So, \( 5 \frac{2}{3} = \frac{17}{3} \).
2. Now, multiply \( \frac{2}{3} \) by \( \frac{17}{3} \):
\[
\frac{2}{3} \times \frac{17}{3} = \frac{2 \times 17}{3 \times 3} = \frac{34}{9}.
\]
3. To convert \( \frac{34}{9} \) back into a mixed number, divide the numerator by the denominator:
\[
34 \div 9 = 3 \quad \text{(since \( 9 \times 3 = 27 \))}, \quad \text{with a remainder of } 7.
\]
So, the whole number part is \( 3 \) and the remainder is \( 7 \).
4. Therefore, convert the remainder into a fraction:
\[
\frac{34}{9} = 3 \frac{7}{9}.
\]
Thus, the answer in mixed number form is \( 3 \frac{7}{9} \).
1. Convert the mixed number \( 5 \frac{2}{3} \) into an improper fraction:
\[
5 \frac{2}{3} = 5 \times 3 + 2 = 15 + 2 = 17
\]
So, \( 5 \frac{2}{3} = \frac{17}{3} \).
2. Now, multiply \( \frac{2}{3} \) by \( \frac{17}{3} \):
\[
\frac{2}{3} \times \frac{17}{3} = \frac{2 \times 17}{3 \times 3} = \frac{34}{9}.
\]
3. To convert \( \frac{34}{9} \) back into a mixed number, divide the numerator by the denominator:
\[
34 \div 9 = 3 \quad \text{(since \( 9 \times 3 = 27 \))}, \quad \text{with a remainder of } 7.
\]
So, the whole number part is \( 3 \) and the remainder is \( 7 \).
4. Therefore, convert the remainder into a fraction:
\[
\frac{34}{9} = 3 \frac{7}{9}.
\]
Thus, the answer in mixed number form is \( 3 \frac{7}{9} \).