10 8/11 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 8 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 11. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 10 8/11 as a decimal?

$10 8/11 as a decimal$

Answer

10 8/11 in decimals can be written as 10.727272…. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 10 8/11 to a decimal, we will use the division method for the fractional part. The whole number part, 10, remains unchanged. Here's a step-by-step breakdown of the process:

Step 1: Separate the whole number (10) and the fraction (8/11).

Step 2: Convert 8/11 into a decimal by dividing 8 by 11.

Step 3: Since 8 is smaller than 11, the division will start with a decimal point.

Step 4: Bring down zeros and divide to get 72, which is the closest multiple of 11, i.e., 11 × 7 = 77, but since 77 is too large, use 11 × 6 = 66.

Step 5: Subtract 66 from 80 to get 14, bring down another zero to make it 140.

Step 6: Divide 140 by 11 to get 12, resulting in 11 × 12 = 132. Subtract and continue the process.

Step 7: The division process continues as a recurring decimal, 0.727272...

The answer for 10 8/11 as a decimal is 10.727272...

Important Glossaries for 10 8/11 as a decimal

Mixed Number: A number consisting of an integer and a proper 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.
Recurring Decimal: A decimal fraction that repeats a sequence of digits infinitely.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.