Evaluate the expression shown below and write your answer as a mixed number in simplest form: 1 9/10 divided by 1/2
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
Recall that the reciprocal of a fraction is found by flipping it, which means the reciprocal of 1/2 is 2/1.
Therefore, the expression 1 9/10 divided by 1/2 can be rewritten as:
(19/10) ÷ (1/2) = (19/10) * (2/1)
Now, multiply the numerators and denominators:
(19 * 2) / (10 * 1) = 38/10
Next, simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 2:
(38 ÷ 2) / (10 ÷ 2) = 19/5
So, the answer is 19/5, which can also be expressed as the mixed number 3 4/5 in simplest form.