Which decimal is equivalent to (4)/(3)? Choose 1 answer: (A) 0.75 (B) 1.25 (C) 1. bar(1) (D) 1. bar(3)

Understand the Problem: Understand the problem. We need to find the decimal equivalent of the fraction 4/3.Convert to Decimal: Convert the fraction to a decimal. To convert the fraction 4/3 to a decimal, we can perform long division where 4 is the dividend and 3 is the divisor.Perform Long Division: Perform the long division. When we divide 4 by 3, we get 1 with a remainder of 1. We then add a decimal point and a zero to the remainder to continue the division. Dividing 10 by 3 gives us 3 with a remainder of 1 again. This process will repeat indefinitely, giving us a repeating decimal.Identify Repeating Pattern: Identify the repeating pattern. Since the remainder keeps repeating after the decimal point, we have a repeating decimal. The digit 3 will repeat indefinitely, so the decimal equivalent of 4/3 is 1.3333..., which can be written as 1. bar(3).

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Which decimal is equivalent to
(4)/(3)?
Choose 1 answer:
(A) 0.75
(B) 1.25
(C)
1. bar(1)
(D)
1. bar(3)

Which decimal is equivalent to $\frac{4}{3}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $0$ . $75$ $\newline$ (B) $1$ . $25$ $\newline$ (C) $1 . \overline{1}$ $\newline$ (D) $1 . \overline{3}$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which decimal is equivalent to

\frac{4}{3}

\newline

Choose

1

answer:

\newline

(A)

0

75

\newline

(B)

1

25

\newline

(C)

1 . \overline{1}

\newline

(D)

1 . \overline{3}

Understand the Problem: Understand the problem. We need to find the decimal equivalent of the fraction $\frac{4}{3}$ .
Convert to Decimal: Convert the fraction to a decimal. $\newline$ To convert the fraction $\frac{4}{3}$ to a decimal, we can perform long division where $4$ is the dividend and $3$ is the divisor.
Perform Long Division: Perform the long division. $\newline$ When we divide $4$ by $3$ , we get $1$ with a remainder of $1$ . We then add a decimal point and a zero to the remainder to continue the division. Dividing $10$ by $3$ gives us $3$ with a remainder of $1$ again. This process will repeat indefinitely, giving us a repeating decimal.
Identify Repeating Pattern: Identify the repeating pattern. $\newline$ Since the remainder keeps repeating after the decimal point, we have a repeating decimal. The digit $3$ will repeat indefinitely, so the decimal equivalent of $\frac{4}{3}$ is $1.3333\ldots$ , which can be written as $1.\overline{3}$ .