Find the quotient 3 6/7 ÷ 5/21

Mathematics · High School · Tue Nov 03 2020

Answered on

The answer is 16 1/5  or 16.2.

To find the quotient of 3 6/7 ÷ 5/21

Convert the mixed number 3 6/7 to a improper fraction: 
3 6/7 = 3x7 + 6/7 
= 21 + 6/7 
= 27/7.
Divide: 
27/7 and 5/21 = 27/7 x 21/5 
= 27x21 / 7x5 
= 567/35 
= 7x81/7x5 
= 81/5.
Therefore, 81/5 = 16 1/5 or 16.2.

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