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Last updated on March 3rd, 2025

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3 1/2 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) here, 7 (from 3 1/2 expressed as an improper fraction 7/2) represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 2. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction 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 3 1/2 as a decimal?

3 1/2 as a decimalAnswer

 

3 1/2 in decimals can be written as 3.5. It is a terminating decimal.

 

Explanation

 

To get 3 1/2 in decimal, we will first convert it into an improper fraction, which is 7/2. Then, we use the division method. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (2) will be taken as the divisor.

 

Step 2: Divide 7 by 2.

 

Step 3: 2 goes into 7 three times (2 × 3 = 6). Write 3 in the quotient place.

 

Step 4: Subtract 6 from 7, which gives us 1.

 

Step 5: Bring down a 0 to make it 10.

 

Step 6: 2 goes into 10 five times (2 × 5 = 10). Write 5 in the quotient place after the decimal point.

 

Step 7: Subtract 10 from 10, which gives us 0.

 

The division process is complete with no remainder, so the answer for 3 1/2 as a decimal is 3.5.

Professor Greenline from BrightChamps

Important Glossaries for 3 1/2 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.

 

  • Improper Fraction: A fraction where the numerator is greater than or equal to the denominator, such as 7/2. Terminating

 

  • Decimal: A decimal that ends and does not repeat infinitely, like 3.5.

 

  • Mixed Number: A number consisting of an integer and a proper fraction, such as 3 1/2.
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