Perform the operation and simplify the answer fully.
10/9 divide by 2/9
To divide two fractions, we can multiply the first fraction by the reciprocal of the second fraction.
First, let's write the reciprocal of the second fraction:
Reciprocal of 2/9 = 9/2
Now, we can rewrite the division expression as a multiplication:
10/9 ÷ 2/9 = 10/9 * 9/2
Multiplying the fractions, we get:
(10 * 9) / (9 * 2) = 90/18
Next, we can simplify the fraction. Both the numerator (90) and denominator (18) are divisible by 9:
90 ÷ 9 = 10
18 ÷ 9 = 2
Therefore, the simplified answer is:
90/18 = 10/2 = 5