23/24 as a Decimal

Answer

23/24 in decimals can be written as 0.9583. It is a terminating decimal, meaning it ends after a certain number of digits.

Explanation

To convert 23/24 to a decimal, we will use division. Here, since 23 is smaller than 24, we will use the decimal method. Let's break down the step-by-step process:

Step 1: Identify the numerator and denominator. The numerator (23) is the dividend, and the denominator (24) is the divisor.

Step 2: Since 23 is smaller than 24, it can't be divided directly. We will use decimals and add 0 to the dividend, making it 230, and add a decimal point in the quotient place.

Step 3: Now divide 230 by 24. We find 24 goes into 230 nine times (24 × 9 = 216).

Step 4: Subtract 216 from 230 to get 14.

Step 5: Bring down another 0, making it 140. Divide 140 by 24 to find it goes five times (24 × 5 = 120).

Step 6: Subtract 120 from 140 to get 20. Bring down another 0, making it 200. Divide 200 by 24 to find it goes eight times (24 × 8 = 192).

Step 7: Subtract 192 from 200 to get 8. Bring down another 0 to make it 80. Divide 80 by 24 to find it goes three times (24 × 3 = 72). The remainder is now 8, and because this process will continue with repeating numbers after this point, we stop here.

Therefore, 23/24 as a decimal will be approximately 0.9583.

• Fraction: A numerical quantity that represents a part of a whole, consisting of a numerator and a denominator.

• 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 after a finite number of digits and does not repeat infinitely.