32 5/8 as a Decimal

Answer

32 5/8 as a decimal can be written as 32.625. It is a terminating decimal, meaning it does not repeat.

Explanation

To convert 32 5/8 to a decimal, we first convert the fractional part 5/8. We will use the division method.

Step 1: Identify the numerator (5) and the denominator (8).

Step 2: Divide 5 by 8. Since 5 is smaller than 8, we will use decimals to divide.

Step 3: Add a decimal point and 0 to 5, making it 50, and perform the division.

Step 4: 8 goes into 50 six times, which gives 8 × 6 = 48. Write 6 in the quotient place and subtract 48 from 50, leaving a remainder of 2.

Step 5: Bring down another 0, making it 20, and divide again.

Step 6: 8 goes into 20 two times, which gives 8 × 2 = 16. Write 2 in the quotient place and subtract 16 from 20, leaving a remainder of 4.

Step 7: Bring down another 0, making it 40, and divide again. Step 8: 8 goes into 40 five times, which gives 8 × 5 = 40. Write 5 in the quotient place, resulting in no remainder. The conversion of 5/8 is 0.625.

Therefore, 32 5/8 as a decimal is 32.625.

• 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.