13/24 as a Decimal

Answer

13/24 in decimal form can be written as approximately 0.54166. This is a terminating decimal.

Explanation

To convert 13/24 to a decimal, we use division. Since 13 is smaller than 24, we use the decimal method to perform long division, which will give us approximately 0.54166. Let's go through the process step by step:

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (24) as the divisor.

Step 2: As 13 is smaller than 24, it can't be divided directly, so we use decimals. We add 0 to the dividend, making it 130, and add a decimal point in the quotient place.

Step 3: Now, we divide 130 by 24. We determine how many times 24 fits into 130.

Step 4: 24 fits into 130 approximately 5 times (5 × 24 = 120); we write 5 in the quotient and subtract 120 from 130, leaving 10.

Step 5: Bring down another 0 to make it 100, and repeat the division process with 24.

Step 6: Continue this process until the division reaches a point where the remainder is 0, or it becomes clear the decimal will terminate.

The resulting decimal for 13/24 is approximately 0.54166.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number in the base ten system, including a decimal point to separate the whole part from the fractional part.

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

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.