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112 LearnersLast updated on March 17th, 2025
2 7/12 as a Decimal
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.
What is 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.
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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