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105 LearnersLast updated on March 13th, 2025
-3 11/16 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A mixed number represents a whole number combined with a fraction. Here, -3 is the whole number, and 11/16 is the fractional part. The fraction has two parts: the numerator (11) represents how many parts out of the whole, and the denominator (16) shows how many parts make the whole. A decimal is a way to represent the number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is -3 11/16 as a decimal?
Answer
-3 11/16 in decimals can be written as -3.6875.
Explanation
To convert -3 11/16 to a decimal, we need to convert the fractional part to a decimal and then combine it with the whole number.
Step 1: Identify the mixed number, where -3 is the whole number and 11/16 is the fraction.
Step 2: Convert the fraction 11/16 into a decimal by dividing 11 by 16.
Step 3: Perform the division: 11 ÷ 16 = 0.6875.
Step 4: Combine the decimal with the whole number: -3 + 0.6875 = -3.6875.
Therefore, -3 11/16 as a decimal is -3.6875.
Important Glossaries for -3 11/16 as a decimal
- Mixed Number: A number consisting of a whole number and a 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.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
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