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Last updated on August 5, 2025

1 7/16 as a Decimal

Professor Greenline Explaining Math Concepts
Professor Greenline from BrightChamps

What is 1 7/16 as a decimal?

1 7/16 as a decimal

 

Answer

 

1 7/16 in decimals can be written as 1.4375. It is a terminating decimal, meaning it ends after a certain number of digits.

 

Explanation

 

To convert 1 7/16 to a decimal, we use division and addition. Let's break it down step by step:

 

Step 1: Identify the mixed number, which consists of a whole number (1) and a fraction (7/16).

 

Step 2: Convert the fraction 7/16 to a decimal by dividing the numerator (7) by the denominator (16).

 

Step 3: Perform the division: 7 ÷ 16 = 0.4375.

 

Step 4: Add the whole number (1) to the decimal obtained from the fraction (0.4375).

 

Step 5: The result is 1 + 0.4375 = 1.4375. So, 1 7/16 as a decimal is 1.4375.

Professor Greenline from BrightChamps

Important Glossaries for 1 7/16 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.

 

  • Terminating Decimal: A decimal that ends and does not repeat infinitely.

 

  • Division: A mathematical operation where a number is divided by another number to get a quotient.
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