Which decimal is equivalent to (76)/(9) ? Choose 1 answer: (A) 8.3 (B) 8. bar(3) (c) 8. bar(4) (D) 8.4445

Understand the problem: Understand the problem. We need to find the decimal equivalent of the fraction 76/9.Perform the division: Perform the division. Divide 76 by 9 to get the decimal equivalent. 76 ÷ 9 = 8 R 4 The quotient is 8 and the remainder is 4.Convert the remainder: Convert the remainder to a decimal. Since the remainder is 4, we continue the division to find the decimal part. 4 becomes 40 when we add a zero to continue the division (since 4 is less than 9). 40 ÷ 9 = 4 R 4 The quotient is 4 and the remainder is 4 again.Recognize the pattern: Recognize the pattern. We see that the remainder is repeating the same value (4), which means the decimal will have a repeating pattern. The decimal equivalent of 76/9 is 8.444... Since the 4 is repeating, we can denote it with a bar on top.Choose the correct answer: Choose the correct answer. The correct answer is the one that shows a repeating 4 after the decimal point. This is represented by option (C) 8. bar(4).

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Which decimal is equivalent to
(76)/(9) ?
Choose 1 answer:
(A) 8.3
(B)
8. bar(3)
(c)
8. bar(4)
(D) 8.4445

Which decimal is equivalent to $\frac{76}{9}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $8$ . $3$ $\newline$ (B) $8 . \overline{3}$ $\newline$ (C) $8 . \overline{4}$ $\newline$ (D) $8$ . $4445$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which decimal is equivalent to

\frac{76}{9}

\newline

Choose

1

answer:

\newline

(A)

8

3

\newline

(B)

8 . \overline{3}

\newline

(C)

8 . \overline{4}

\newline

(D)

8

4445

Understand the problem: Understand the problem. We need to find the decimal equivalent of the fraction $\frac{76}{9}$ .
Perform the division: Perform the division. $\newline$ Divide $76$ by $9$ to get the decimal equivalent. $\newline$ $76 \div 9 = 8 \text{ R } 4$ $\newline$ The quotient is $8$ and the remainder is $4$ .
Convert the remainder: Convert the remainder to a decimal. $\newline$ Since the remainder is $4$ , we continue the division to find the decimal part. $\newline$ $4$ becomes $40$ when we add a zero to continue the division (since $4$ is less than $9$ ). $\newline$ $40 \div 9 = 4 \text{ R } 4$ $\newline$ The quotient is $4$ and the remainder is $4$ again.
Recognize the pattern: Recognize the pattern. $\newline$ We see that the remainder is repeating the same value $4$ , which means the decimal will have a repeating pattern. $\newline$ The decimal equivalent of $\frac{76}{9}$ is $8.444\ldots$ $\newline$ Since the $4$ is repeating, we can denote it with a bar on top.
Choose the correct answer: Choose the correct answer. $\newline$ The correct answer is the one that shows a repeating $4$ after the decimal point. $\newline$ This is represented by option (C) $8.\overline{4}$ .