Question

1 1/6 divided by 1/2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To divide 1 1/6 by 1/2, we first need to convert the mixed number 1 1/6 into an improper fraction.

To do this, we multiply the whole number (1) by the denominator of the fraction (6) and add the numerator (1). This gives us:

1 * 6 + 1 = 6 + 1 = 7.

So, 1 1/6 can be written as the improper fraction 7/6.

Now, we can divide 7/6 by 1/2.

Dividing fractions can be done by multiplying the first fraction by the reciprocal of the second fraction.

Reciprocal of 1/2 is 2/1, so we have:

7/6 ÷ 1/2 = 7/6 * 2/1.

Next, we multiply the numerators and denominators:

(7 * 2) / (6 * 1) = 14/6.

The fraction 14/6 is not in simplest form because both the numerator and denominator are even numbers, so we can simplify it further.

We can divide both the numerator and denominator by their greatest common divisor, which is 2. This gives us:

14/6 = (14 ÷ 2) / (6 ÷ 2) = 7/3.

So, 1 1/6 divided by 1/2 is equal to 7/3.