1 11/12 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn mixed numbers and decimals. A mixed number represents a whole number and a fraction. It has three parts: the whole number, the numerator (the number on the top of the fraction), and the denominator (the number below the fraction). The numerator here, 11, represents how many parts out of the whole. The denominator shows how many parts make the whole, here it is 12. 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 1 11/12 as a decimal?

$1 11/12 as a decimal$ Answer

1 11/12 in decimals can be written as 1.91666. It is a recurring decimal, showing that a part of it will repeat the same digit infinitely.

Explanation

To convert 1 11/12 into a decimal, we first convert the fraction part 11/12 into a decimal using division. The whole number part is 1. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator of the fraction because the numerator (11) will be taken as the dividend and the denominator (12) will be taken as the divisor.

Step 2: As 11 is smaller than 12, it can't be divided to give a whole number, so we will take the help of decimals. We will add 0 to the dividend, which will make it 110, and add a decimal point in the quotient place.

Step 3: Now that it is 110, we can divide it by 12. Let's see how many times 12 fits into 110.

Step 4: 110 divided by 12 gives approximately 9 with a remainder. So, we write 9 in the quotient place. 12 x 9 = 108. Subtract 108 from 110 to get 2.

Step 5: Bring down another 0 in the dividend place, making it 20, and continue dividing by 12. 20 divided by 12 gives approximately 1.

Step 6: The process continues with bringing down more zeros and repeating the division. This results in a recurring decimal.

The answer for 1 11/12 as a decimal is 1.91666.

Important Glossaries for 1 11/12 as a decimal

Mixed Number: A number consisting of a whole number and a fraction.
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.
Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.