15 5/8 as a Decimal

Answer

15 5/8 in decimal form can be written as 15.625.

Explanation

To convert 15 5/8 to a decimal, start by converting the fraction 5/8 to a decimal. This can be done using division. Here's a step-by-step breakdown of the process:

Step 1: Identify the numerator (5) and the denominator (8). The numerator is the dividend, and the denominator is the divisor.

Step 2: Divide 5 by 8. Since 5 is smaller than 8, use the decimal method. Add a decimal point and zero to the dividend, making it 50.

Step 3: Divide 50 by 8. The nearest multiple of 8 less than 50 is 48 (8 × 6). Write 6 in the quotient and subtract 48 from 50, giving a remainder of 2.

Step 4: Bring down another 0, making the current number 20. Divide 20 by 8, yielding 2 (8 × 2 = 16). Subtract 16 from 20, leaving a remainder of 4.

Step 5: Bring down another 0, making the current number 40. Divide 40 by 8, which yields 5 (8 × 5 = 40). Subtract 40 from 40, resulting in a final remainder of 0. The division process ends here, as there are no more remainders.

Thus, 5/8 as a decimal is 0.625. Finally, add the whole number 15 to get 15.625. Therefore, 15 5/8 as a decimal is 15.625.

• Fraction: A numerical quantity that represents a part of a whole, consisting of a numerator and a denominator.
   
• Decimal: A number expressed in the base-ten system, using 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 with a finite number of digits and does not repeat infinitely.