Question

Find 5 7/9 ÷ 3.Simplify the answer and write as a mixed number.

Answer 1

5 7/9 divided by 3

At first, let us make the mixed number an improper fraction

`\because5(7)/(9)=(5*9+7)/(9)=(45+7)/(9)=(52)/(9)`

Now, we will divide 52/9 by 3

52/9 ÷ 3 = 52/9 x 1/3

To make the division we will change it to multiplication and reciprocal the number after the division sign

`(52)/(9)*(1)/(3)=(52)/(27)`

We will divide 52 by 27

∵ 1 x 27 = 27

∵ 52 - 27 = 25

`\therefore(52)/(27)=1(25)/(27)`

The answer is 1 25/27