13/30 as a Decimal

Answer

13/30 as a decimal can be written as approximately 0.4333.

Explanation

To convert 13/30 to a decimal, we use division. Since 13 is smaller than 30, using decimal division will help us. Here is a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (13) will be the dividend, and the denominator (30) will be the divisor.

Step 2: As 13 is smaller than 30, direct division results in a quotient less than 1. Therefore, we'll use decimal division.

Step 3: Divide 13 by 30. Since 13 is less than 30, consider it as 130 by adding a decimal and a zero, and place a decimal point in the quotient.

Step 4: Now, divide 130 by 30. 30 goes into 130 four times (30 × 4 = 120).

Step 5: Subtract 120 from 130, which leaves 10. Bring down another 0 to make it 100.

Step 6: 30 goes into 100 three times (30 × 3 = 90). Subtract to get 10 again, and bring down another 0.

Step 7: The process repeats, showing a repeating decimal pattern of 0.4333...

• Fraction: A numerical expression representing a part of a whole, consisting of a numerator and a denominator.

• Decimal: A numerical representation using the base ten, separating the whole part from the fractional part with a decimal point.

• Numerator: The top number in a fraction, indicating how many parts of the whole are considered.

• Denominator: The bottom number in a fraction, showing how many equal parts make up the whole.

• Recurring Decimal: A decimal with a repeating pattern of digits after the decimal point.