Perform the following divisions and express the answers as fractions reduced to lowest terms.
a. 3/9 ÷ 1/3=
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. Thus, we have:
(3/9) ÷ (1/3) = (3/9) * (3/1)
Next, we can simplify the fractions:
(3/9) * (3/1) = (9/9)
Finally, we can reduce the fraction to lowest terms by dividing the numerator and denominator by their greatest common divisor, which is 9 in this case:
9/9 = 1/1
Therefore, 3/9 ÷ 1/3 = 1.