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Last updated on August 5, 2025

1 1/4 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 1 1/4 as a decimal?

1 1/4 as a decimalAnswer

 

1 1/4 in decimals can be written as 1.25. It is a terminating decimal, meaning the division ends without repeating.

 

Explanation

 

To get 1 1/4 in decimal, we will convert the fraction part (1/4) into decimal form and add it to the whole number 1. Let's see the step-by-step breakdown of the process:

 

Step 1: Convert the fraction 1/4 into decimal form.

 

Step 2: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (4) will be the divisor.

 

Step 3: Divide 1 by 4. 1 is smaller than 4, so we need to add a decimal to the quotient place and a 0 to the dividend, making it 10.

 

Step 4: Divide 10 by 4. 4 goes into 10 two times (4 × 2 = 8). Write 2 in the quotient place and subtract 8 from 10, giving 2.

 

Step 5: Bring down another 0 to the dividend place, making it 20, then divide 20 by 4. 4 goes into 20 five times (4 × 5 = 20). Write 5 in the quotient place.

 

Step 6: No remainder is left, so the division process is complete. The fraction 1/4 is 0.25 in decimal form.

 

Step 7: Add the decimal 0.25 to the whole number 1 to get the final answer, 1.25.

Professor Greenline from BrightChamps

Important Glossaries for 1 1/4 as a decimal

  • Mixed Number: A number consisting of an integer and a proper fraction.
     
  • 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.
     
  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
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