Answer:
3 3/16
Explanation:
Conversion a mixed number 8 1/2
to a improper fraction: 8 1/2=8×2+1/2=16+1/2=17/2
To find a 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 a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Divide: 17/2×8/3=17/2×3/8=17×3/2×8= 51/
16
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 following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen halves divided by eight thirds = fifty-one sixteenths.
51/16
3 3/16