What is the quotient of 11 2/3÷2 1/3 ? Simplify the answer, if possible.(1 point) Responses 27 2/9 27 Start Fraction 2 over 9 End Fraction 1/5 Start Fraction 1 over 5 End Fraction 5 5 9/245

Answer 1

To find the quotient of \( 11 \frac{2}{3} \div 2 \frac{1}{3} \), we first need to convert both mixed numbers into improper fractions.

1. Convert \( 11 \frac{2}{3} \): \[ 11 \frac{2}{3} = 11 \times 3 + 2 = 33 + 2 = 35 \] So, \( 11 \frac{2}{3} = \frac{35}{3} \).

2. Convert \( 2 \frac{1}{3} \): \[ 2 \frac{1}{3} = 2 \times 3 + 1 = 6 + 1 = 7 \] So, \( 2 \frac{1}{3} = \frac{7}{3} \).

Now we can perform the division of the two improper fractions: \[ \frac{35}{3} \div \frac{7}{3} = \frac{35}{3} \times \frac{3}{7} \]

The 3’s cancel out: \[ = \frac{35}{7} \]

Now simplify: \[ = 5 \]

The quotient of \( 11 \frac{2}{3} \div 2 \frac{1}{3} \) is \( 5 \).

The answer, simplified, is: \[ \boxed{5} \]