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Last updated on March 17th, 2025

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2 7/12 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

Converting a mixed number to a decimal involves understanding fractions and decimals. A mixed number, like 2 7/12, includes a whole number and a fraction. To convert it to a decimal, we first convert the fraction part to a decimal and then add it to the whole number. A fraction has a numerator (top part) and a denominator (bottom part). A decimal represents numbers not whole, using a decimal point to separate the whole number from the fractional part.

Professor Greenline from BrightChamps

What is 2 7/12 as a decimal?

2 7/12 as a decimal

Answer

 

2 7/12 as a decimal is 2.5833. It is a non-repeating decimal.

 

Explanation

 

To convert 2 7/12 into a decimal, we first convert the fractional part 7/12. Let's break down the steps:

 

Step 1: Identify the numerator and denominator. Here, the numerator is 7, and the denominator is 12.

 

Step 2: Divide 7 by 12 to convert the fraction into a decimal.

 

Step 3: Perform the division: 7 ÷ 12 = 0.5833 (rounded to four decimal places).

 

Step 4: Combine the whole number with the decimal: 2 + 0.5833 = 2.5833.

 

Thus, 2 7/12 as a decimal is 2.5833.

Professor Greenline from BrightChamps

Important Glossaries for 2 7/12 as a decimal

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

 

  • Fraction: A portion of a whole, represented by two numbers, the numerator and the denominator.

 

  • Decimal: A numerical representation that includes a decimal point to show numbers less than one.

 

  • Numerator: The upper part of a fraction, showing how many parts are considered.

 

  • Denominator: The lower part of a fraction, indicating the total number of equal parts.
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