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Last updated on August 5, 2025

1 5/12 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 1 5/12 as a decimal?

1 5/12 as a decimal

 

Answer

 

1 5/12 in decimals can be written as 1.41666... It is a recurring decimal, showing that part of it repeats the same digit infinitely.

 

Explanation

 

To convert 1 5/12 to a decimal, we will first convert the fraction 5/12 to a decimal and then add it to the whole number 1. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the whole number (1) and the fraction (5/12).

 

Step 2: Convert the fraction 5/12 to a decimal by dividing 5 by 12 using long division.

 

Step 3: Perform the division: - 5 divided by 12 gives 0.41666... (repeating 6).

 

Step 4: Add the decimal result to the whole number: - 1 + 0.41666... = 1.41666...

 

The answer for 1 5/12 as a decimal is 1.41666...

Professor Greenline from BrightChamps

Important Glossaries for 1 5/12 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.

 

  • Mixed Number: A number consisting of an integer and a proper fraction.

 

  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

 

  • Recurring Decimal: A decimal in which a digit or group of digits is repeated indefinitely.
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