Question

Use long division to convert 6 7/15 to a decimal. (1 point)

Answer 1

To convert 6 7/15 to a decimal using long division, we can write it as a fraction.

First, we need to convert the whole number 6 to a fraction. We can do this by writing it as 6 over 1:

6 = 6/1

Now, we can add the fraction 7/15 to 6/1 to get a single fraction:

(6/1) + (7/15) = (90/15) + (7/15) = 97/15

Next, we can use long division to divide the numerator (97) by the denominator (15).

__ 6.4
15 | 97.0
- 90
------
70
- 60
----
100
- 90
---
10

The quotient is 6.4. Therefore, 6 7/15 as a decimal is 6.4.