Question

3.7 repeating as a mixed number

Answer 1

3 7/9 (3 and 7 over 9)

Answer 2

Answer: Our required mixed number is $3\dfrac{7}{9}$

Step-by-step explanation:

Since we have given that

$x=3.\bar{7}$

We need to rewrite it in a mixed number.

Since x = 3.7777777..........--------(1)

Multiplying by 10 on both the sides, we get that

10x=37.777777.............-------------(2)

Now, subtract (2) - (1), we get that

$10x-x=37.7777-3.7777\\\\9x=34\\\\x=\dfrac{34}{9}$

So, we need to write in mixed number that is given by

$\dfrac{34}{9}=3\dfrac{7}{9}$

Hence, our required mixed number is $3\dfrac{7}{9}$