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Last updated on March 27th, 2025

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32 5/8 as a Decimal

Professor Greenline Explaining Math Concepts
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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), which represents how many parts out of the whole, and the denominator (number below), which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

Professor Greenline from BrightChamps

What is 32 5/8 as a decimal?

 

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.

Professor Greenline from BrightChamps

Important Glossaries for 32 5/8 as a decimal

  • 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.
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