Question

The probability that the fraction will be greater than 5/6

Answer 1

1/6 or 11/16

Explanation:

If you spin a spinner with the first spin giving the numerator and the second spin giving the denominator of a fraction, the probability of the fraction will be greater is 1/6 or 11/16.

6 - 5/6 = 1/6

However, there are 4 possible spots you could land on so, it would change to 11/16.

Answer 2

11/16

Explanation:

You could list all the possible fractions you will get:

Here are the's with 4 as the numerator:

4/4

4/5

4/6

4/7

Here are the one's with 5 as the numerator:

5/4

5/5

5/6

5/7

Here are the one's with 6 as the numerator:

6/4

6/5

6/6

6/7

Here are the one's with 7 as the numerator:

7/4

7/5

7/6

7/7

There are 4(4) different numerator-denominator combinations we can get.

Let's see which of these are bigger than 5/6.

If you think it is easier to look at the decimals of all these you can.

5/6=0.8333333333

----

4/4 =1

4/5 =0.8

4/6 =0.6666666666

4/7 =0.5714 (approximately)

There is only 1 bigger than 5/6 in this section.

5/4 =1.25

5/5 =1

5/6 =0.83333333333

5/7 =0.714 (approximately)

There is 2 bigger than 5/6 in this section.

6/4 =1.5

6/5 =1.2

6/6 =1

6/7 =0.857 (approximately)

There is 4 bigger than 5/6 in this section.

7/4

7/5

7/6

7/7

All of these are 1 or bigger because the numerator is bigger than or equal to the denominator so all 4 of these are bigger than 5/6 in this section.

P(fraction being greater than 5/6)=[\tex]\frac{\text{ the numbers I listed bigger than } \frac{5}{6}}{\text{ all the fractions I listed }}[/tex]

P(fraction being greater than 5/6)=[\tex]\frac{4+4+2+1}{4(4)}=\frac{11}{16}{/tex]

11/16