Answer:
20/
9 or 2 2/
9 or 2.2222222
Step-by-step explanation:
Conversion a mixed number 6 2/3
to a improper fraction: 6 2/3 = 6 2/
3
= 6 · 3 + 2/
3
= 18 + 2/
3
= 20/
3
To find new numerator:
a) Multiply the whole number 6 by the denominator 3. Whole number 6 equally 6 * 3/
3
= 18/
3
b) Add the answer from previous step 18 to the numerator 2. New numerator is 18 + 2 = 20
c) Write a previous answer (new numerator 20) over the denominator 3.
Six and two thirds is twenty thirds
Divide: 20/
3
: 3 = 20/
3
· 1/
3
= 20 · 1/
3 · 3
= 20/
9
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 3/
1 is 1/
3
) 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 canceling.
In words - twenty thirds divided by three = twenty ninths.
