Question

9 11/30 as a decimal

Answer 1

9.366667 (can write it as 9.3667 with a line over the two sixes)

Explanation:

We know it has 9, but then we need to add 11/30.

-----

30 | 11

.3666666

-----

30 | 110 <--- add a zero

90

------

200 <--- add a zero

180

------

200 <-- add a zero

notice a pattern? it's an infinite decimal. You can express it as
`9.3667\\`

or with a line over the sixes to indicate it is infinite. We add the 7 as it does not end at 6.

Answer 2

9.3667

Explanation:

To express the mixed number
`\(9 (11)/(30)\)` as a decimal, you can add the whole number part (9) to the decimal part. For the fractional part, divide the numerator (11) by the denominator (30):

`\[ (11)/(30) \approx 0.3667 \]`

Now, add the whole number and the decimal part:

`\[ 9 + 0.3667 = 9.3667 \]`

Therefore,
`\(9 (11)/(30)\)` as a decimal is approximately
`\(9.3667\)`.