Answer: 9
Explantion:
Divide: 6 : 2/
3
= 6/
1
· 3/
2
= 6 · 3/
1 · 2
= 18/
2
= 2 · 9/
2 · 1
= 9
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 2/
3
is 3/
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 2 gives 9/
1
.
In words - six divided by two thirds = nine.