What is 6 and 2/3 ÷ by 3.​

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.

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step-by-step explanation: