Which decimal is equivalent to (4)/(15) ? Choose 1 answer: (A) 0.26 (B) 0.2626 (C) 0. bar(26) (D) 0.2 bar(6)

Divide Fraction by 15: Divide 4 by 15 to convert the fraction into a decimal. Calculation: 4 ÷ 15 = 0.2666...Recognize Repeating Pattern: Recognize the repeating pattern in the decimal. The decimal repeats the digit '6' after the initial '26', so it is a repeating decimal.Determine Notation: Determine the correct notation for the repeating decimal. Since the '6' is the repeating digit, the correct notation is 0.2 with a bar over the '6' to indicate that it repeats indefinitely.Match with Choices: Match the result with the given choices. The correct choice that matches our result is (D) 0.2 bar(6).

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Which decimal is equivalent to
(4)/(15) ?
Choose 1 answer:
(A) 0.26
(B) 0.2626
(C)
0. bar(26)
(D)
0.2 bar(6)

Which decimal is equivalent to $\frac{4}{15}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $0$ . $26$ $\newline$ (B) $0$ . $2626$ $\newline$ (C) $0 . \overline{26}$ $\newline$ (D) $0.2 \overline{6}$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which decimal is equivalent to

\frac{4}{15}

\newline

Choose

1

answer:

\newline

(A)

0

26

\newline

(B)

0

2626

\newline

(C)

0 . \overline{26}

\newline

(D)

0.2 \overline{6}

Divide Fraction by $15$ : Divide $4$ by $15$ to convert the fraction into a decimal. $\newline$ Calculation: $4 \div 15 = 0.2666\ldots$
Recognize Repeating Pattern: Recognize the repeating pattern in the decimal. The decimal repeats the digit ' ext{ $6$ }' after the initial ' ext{ $26$ }', so it is a repeating decimal.
Determine Notation: Determine the correct notation for the repeating decimal. $\newline$ Since the $6$ is the repeating digit, the correct notation is $0.2$ with a bar over the $6$ to indicate that it repeats indefinitely.
Match with Choices: Match the result with the given choices. $\newline$ The correct choice that matches our result is $(D) 0.2 \overline{6}$ .