Question

Eighteen points are equally spaced on a circle, from which you will choose a certain

number at random. How many do you need to choose to guarantee that you will
have the four corners of at least one rectangle?

Answer 1

To solve the expression 3/4 ÷ 5/12, you can follow these steps:

Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by interchanging the numerator and the denominator.

Step 1: Take the reciprocal of the second fraction (5/12):

Reciprocal of 5/12 = 12/5

Step 2: Rewrite the expression as multiplication:

3/4 ÷ 5/12 = 3/4 x 12/5

Step 3: Multiply the fractions:

(3/4) x (12/5) = (3 * 12) / (4 * 5) = 36 / 20

Step 4: Simplify the fraction (if possible):

To simplify, find the greatest common divisor (GCD) of 36 and 20, which is 4. Divide both the numerator and denominator by 4:

36 / 20 = (36 ÷ 4) / (20 ÷ 4) = 9 / 5

So, the result of 3/4 ÷ 5/12 is 9/5.