(-3 2/3) + 2 5/8
Find the Answer

Conversion a mixed number 2 2

3

to a improper fraction: 2 2/3 = 2 2

3

= 2 · 3 + 2

3

= 6 + 2

3

= 8

3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3

3

= 6

3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Divide: 5

8

: 8

3

= 5

8

· 3

8

= 5 · 3

8 · 8

= 15

64

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8

3

is 3

8

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - five eighths divided by eight thirds = fifteen sixty-fourths.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: