Question

Enter the next three numbers of the repeating decimal produced by the fraction 6/7.

A) 1, 4, 2
B) 8, 5, 7
C) 1, 7, 1
D) 2, 8, 5

Answer 1

The next three numbers of the repeating decimal produced by the fraction 6/7 are 8, 5, 7, which is part of the repeating pattern 857142 for the decimal 0.857142...

Step-by-step explanation:

To find the next three numbers of the repeating decimal produced by the fraction 6/7, we can perform long division. When we divide 6 by 7, we get a repeating decimal of 0.857142857142..., where the pattern 857142 repeats indefinitely.

If we examine this pattern, the next three numbers that follow after the initial '857' would be '142'. Hence, the correct answer amongst the choices given is the pattern that matches this sequence.

The answer is B) 8, 5, 7 because it represents the continuation of the repeating decimal pattern for the fraction 6/7.