Question

Fill in the blanks!
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**.