Your friend incorrectly says that the quotient

Question

3
8
÷
1
8
=
1
3
8
3
​
÷
8
1
​
=
3
1
​
. What is the correct quotient?

3
8
÷
1
8
=
8
3
​
÷
8
1
​
=


(b)
What mistake did your friend likely make?

A
Your friend added the fractions instead of dividing.

B
Your friend multiplied with the reciprocal of the first fraction, not the second fraction.

C
Your friend multiplied 38×18\frac{3}{8}\times \frac{1}{8}
8
3
​
×
8
1
​


D
Your friend multiplied 83×8\frac{8}{3}\times 8
3
8
​
×8

Answer 1

To find the correct quotient of \( \frac{3}{8} \div \frac{1}{8} \), you can multiply by the reciprocal of the second fraction:

\[ \frac{3}{8} \div \frac{1}{8} = \frac{3}{8} \times \frac{8}{1} \]

Now multiply:

\[ \frac{3 \times 8}{8 \times 1} = \frac{24}{8} = 3 \]

So the correct quotient is \( 3 \).

Now, regarding the mistake your friend made, the options are:

A. Your friend added the fractions instead of dividing.
B. Your friend multiplied with the reciprocal of the first fraction, not the second fraction.
C. Your friend multiplied \( \frac{3}{8} \times \frac{1}{8} \)
D. Your friend multiplied \( \frac{8}{3} \times 8 \)

The correct choice is:

B - Your friend multiplied with the reciprocal of the first fraction, not the second fraction.

This indicates that your friend may have mistakenly used the inverse of the first fraction instead of the second when attempting to perform the division.