Answer: Divide: 1/
2
: 1/
3
= 1/
2
· 3/
1
= 1 · 3/
2 · 1
= 3/
2
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1/
3
is 3/
1
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one half divided by one third = three halfs.
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