Math / Numbers & Operations

QuestionWrite $\frac{13}{3}$ as a decimal.

Studdy Solution

STEP 1

1. The fraction $\frac{13}{3}$ represents a rational number.
2. The goal is to convert this fraction into a decimal form.
3. The conversion involves simple division of the numerator by the denominator.

STEP 2

1. Perform the division of 13 by 3.
2. If the division does not terminate, identify the repeating decimal pattern.

STEP 3

Perform the division of 13 by 3.
$13 \div 3 \approx 4.3333...$

STEP 4

Identify the repeating decimal pattern.
Upon division, we see that the decimal repeats every single digit. Therefore, we can express it as:
$\frac{13}{3} = 4.\overline{3}$
Solution: The decimal representation of $\frac{13}{3}$ is $4.\overline{3}$ .

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