Use long division to convert 6 7/20

Question

to a decimal.(1 point)
Responses

6.72
6.72

6.285714
6.285714

0.35
0.35

6.35
6.35

Answer 1

First, rewrite the mixed number as an improper fraction:

6 7/20 = 6 + 7/20 = (6*20 + 7)/20 = 127/20.

Now, perform long division by dividing 127 by 20:

__6.
20|127
-120
----
7
During long division, we divide 127 by 20 to get 6 with a remainder of 7.

Thus, the decimal representation of 6 7/20 is 6.35.