3/24 as a Decimal

Answer

3/24 in decimals can be written as 0.125. It is a terminating decimal, meaning it does not repeat indefinitely.

Explanation

To get 3/24 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (24) will be taken as the divisor.

Step 2: As 3 is smaller than 24, it can't be divided directly, so we will take the help of decimals. We will add a 0 to the dividend, which will make it 30, and add a decimal point in the quotient place.

Step 3: Now that it is 30, we can divide it by 24. Let's see how many times 24 fits into 30.

Step 4: 24 goes into 30 once, so we write 1 in the quotient place and subtract 24 from 30, giving us 6.

Step 5: Bring down another 0 in the dividend place, making it 60, and then repeat the division process.

Step 6: 24 goes into 60 twice (24 x 2 = 48), so we write 2 in the quotient place next to 0.1, subtract 48 from 60 to get 12.

Step 7: Bring down another 0 in the dividend place, making it 120, and divide by 24.

Step 8: 24 goes into 120 exactly five times (24 x 5 = 120), so we write 5 in the quotient place next to 0.12, and the remainder is 0. The division process ends here as the remainder is 0.

Therefore, the answer for 3/24 as a decimal is 0.125.

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

• Decimal: A number that uses the base ten and includes 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.