Fill in the blanks!

Question

What is the quotient of 7/3 ÷ 2/3? write the answer as a mixed number, or a number that has a whole-number part and a fraction part.

7 thirds divided by 2 thirds equals _ whole groups and 1 fractional part.
What fraction of a group is left over? 1 third / 2 thirds
I have _ of a group left over.
7/3 ÷ 2/3 = _ 1/2

Answer 1

To solve \( \frac{7}{3} \div \frac{2}{3} \):

1. Change the division to multiplication by the reciprocal: \[ \frac{7}{3} \div \frac{2}{3} = \frac{7}{3} \times \frac{3}{2} \]

2. Multiply the fractions: \[ \frac{7 \times 3}{3 \times 2} = \frac{21}{6} \]

3. Simplify the fraction: \[ \frac{21}{6} = \frac{7}{2} \]

4. Convert \(\frac{7}{2}\) to a mixed number: \[ 7 \div 2 = 3 \quad \text{remainder} \quad 1 \] So, \( \frac{7}{2} = 3 \frac{1}{2} \).

Now we can fill in the blanks:

7 thirds divided by 2 thirds equals 3 whole groups and 1 fractional part. What fraction of a group is left over? 1/2
I have 1/2 of a group left over. 7/3 ÷ 2/3 = 3 1/2.