1 1/12 as a decimal

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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) and denominator (number below). A decimal is a way to represent a number that is not whole, using 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 1/12 as a decimal?

$1 1/12 as a decimal$

Answer

1 1/12 in decimal form can be written as 1.0833… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 1 1/12 into a decimal, we first need to convert the fractional part 1/12 into a decimal. This can be done using the division method.

Step 1: Identify the numerator and denominator. Here, the numerator (1) will be taken as the dividend and the denominator (12) as the divisor.

Step 2: As 1 is smaller than 12, we cannot divide directly. We'll use the decimal method, adding a decimal point and zero to the dividend to make it 10.

Step 3: Divide 10 by 12. Since 10 is smaller than 12, add another zero to make it 100.

Step 4: Now divide 100 by 12. The closest multiple of 12 is 12 × 8 = 96. Place 8 in the quotient.

Step 5: Subtract 96 from 100 to get 4, bring down another 0 to make it 40 and repeat. The process continues, with the decimal part repeating as 0.0833...

Thus, the decimal representation for 1 1/12 is 1.0833…

Important Glossaries for 1 1/12 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.
Mixed Number: A combination of a whole number and a fraction.
Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.
Division: The process used to convert fractions into decimals by dividing the numerator by the denominator.