Question

7 thirds divided by 2 thirds equals _____________ whole groups and 1 fractional part.

Answer 1

To divide fractions, you multiply by the reciprocal of the divisor.

In this case, you have \( \frac{7}{3} \) divided by \( \frac{2}{3} \):

\[
\frac{7}{3} \div \frac{2}{3} = \frac{7}{3} \times \frac{3}{2}
\]

Now, multiply the numerators and the denominators:

\[
= \frac{7 \times 3}{3 \times 2} = \frac{21}{6}
\]

Next, simplify \( \frac{21}{6} \):

\[
\frac{21}{6} = \frac{7}{2}
\]

Now we can convert \( \frac{7}{2} \) to a mixed number.

To do this, divide 7 by 2:

- 2 goes into 7 three times, which equals 6 (since \( 2 \times 3 = 6 \)).
- The remainder is \( 7 - 6 = 1 \).

So, \( \frac{7}{2} = 3 \frac{1}{2} \).

Therefore, \( 7 \) thirds divided by \( 2 \) thirds equals **3 whole groups and \( \frac{1}{2} \)** as the fractional part.

So, the complete answer is:

**3 whole groups and \( \frac{1}{2} \) fractional part.**