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Which decimal is equivalent to
(5)/(6) ?
Choose 1 answer:
(A) 0.83
(B)
0.8 bar(3)
(c)
0. bar(83)
(D)
0. bar(8)

Which decimal is equivalent to $\frac{5}{6}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $0$ . $83$ $\newline$ (B) $0.8 \overline{3}$ $\newline$ (C) $0 . \overline{83}$ $\newline$ (D) $0 . \overline{8}$

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Identify equivalent linear expressions

Full solution

Q. Which decimal is equivalent to

\frac{5}{6}

?

\newline

Choose

1

answer:

\newline

(A)

0

.

83

\newline

(B)

0.8 \overline{3}

\newline

(C)

0 . \overline{83}

\newline

(D)

0 . \overline{8}

Understand the problem: Understand the problem. $\newline$ We need to convert the fraction $\frac{5}{6}$ into decimal form.
Divide numerator by denominator: Divide the numerator by the denominator. $5 \div 6 = 0.8333\ldots$
Recognize repeating pattern: Recognize the repeating pattern in the decimal. The decimal repeats the digit $3$ indefinitely, which is denoted by a bar over the digit.
Match repeating decimal: Match the repeating decimal to the given choices. $\newline$ The correct representation of $0.8333\ldots$ with a repeating $3$ is $0.8$ with a bar over the $3$ , which is option (B).

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