Cody says that dividing a unit fraction by a whole number is the same as multiplying the unit fraction by a unit fraction with the whole number as the denominator.

Question

Which of the following supports Cody's reasoning?

A.
1
4
÷
3
=
1
12
and
4
×
3
=
12
B.
1
4
÷
3
=
1
12
and
1
4
×
1
3
=
1
12
C.
1
4
÷
3
=
1
12
and
3
÷
1
4
=
12

Answer 1

Option B supports Cody's reasoning.

Dividing a unit fraction (1/4) by a whole number (3) gives 1/12.

Multiplying the unit fraction (1/4) by a unit fraction with 3 as the denominator gives (1/4) x (1/3) = 1/12.

So, Cody's reasoning is supported by option B.