4 9/11 as a Decimal

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This is a straightforward question about converting a mixed number to a decimal. First, we need to understand fractions, mixed numbers, and decimals. A fraction represents a part of a whole, consisting of a numerator (the top number) and a denominator (the bottom number). A mixed number combines a whole number and a fraction. A decimal is a way to express numbers that include parts of a whole, using a decimal point to separate the whole number from the fractional part.

What is 4 9/11 as a decimal?

$4 9/11 as a decimal$ Answer

4 9/11 as a decimal can be written as approximately 4.818. It is a recurring decimal, indicating that the digit sequence will repeat infinitely.

Explanation

To convert 4 9/11 into a decimal, we need to convert the fractional part first and then add it to the whole number:

Step 1: Convert the fractional part, 9/11, into a decimal.

Step 2: Divide 9 by 11 to get the decimal.

Step 3: Since 9 is smaller than 11, use the decimal division method: - Add 0. to the quotient, making 9 into 90. - Determine how many times 11 fits into 90, which is 8 times (11 × 8 = 88). - Subtract 88 from 90 to get 2. - Bring down another 0 to make it 20, and repeat the process.

Step 4: Continue the division, obtaining a recurring sequence of 81.

Step 5: Combine the whole number 4 with the decimal part 0.8181 to get approximately 4.8181.

Important Glossaries for 4 9/11 as a decimal

Fraction: A numerical quantity that represents a part of a whole.
Mixed Number: A number consisting of an integer and a proper fraction.
Decimal: A number expressed using a decimal point to separate the whole part from the fractional part.
Recurring Decimal: A decimal fraction in which a figure or group of figures repeats infinitely.
Division: The process of determining how many times one number is contained within another.