Question

Use long division to convert 6 7/15 to a decimal.

Answer 1

To convert 6 7/15 to a decimal using long division, we first convert the mixed number into an improper fraction.

To do this, we multiply the whole number, 6, by the denominator of the fraction and add the numerator.

6 * 15 = 90
90 + 7 = 97

So, 6 7/15 is equivalent to 97/15 as an improper fraction.

Now, let's divide 97 by 15 using long division:

6.466 (estimated)

15|97
-90
---
7
-0
---
70
-60
---
10
- 0
---
100

The remainder is 10, which means we've reached the end of the decimal places.

Therefore, 6 7/15 as a decimal is approximately 6.466.