32 5/8 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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.

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.