2 1/12 as a Decimal

Professor Greenline Explaining Math Concepts

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: the numerator (number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) 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 to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

2 1/12 as a Decimal for US Students

What is 2 1/12 as a decimal?

$2 1/12 as a decimal$

Answer

2 1/12 in decimals can be written as 2.0833… It is a recurring decimal, showing it will repeat some digits infinitely.

Explanation

To get 2 1/12 in decimal, we will first convert the fraction 1/12 into decimal and then add it to the whole number 2. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fractional part. Here, the whole number is 2, and the fraction is 1/12.

Step 2: Convert the fraction 1/12 into a decimal by using the division method. Here as 1 is smaller than 12, we will take help of decimals.

Step 3: Perform the division 1 ÷ 12. You will need to add a decimal point and zeros to divide it further.

Step 4: 12 goes into 10 zero times, so you bring down another 0 to make it 100. 12 goes into 100 eight times, as 12 × 8 = 96. Write 8 in the quotient place.

Step 5: Subtract 96 from 100 to get 4. Bring down another 0 to make it 40. 12 goes into 40 three times, as 12 × 3 = 36. Write 3 in the quotient place.

Step 6: Subtract 36 from 40 to get 4. Bring down another 0, making it 40 again, and repeat the division process. The division process continues, but the remainder does not become 0, indicating a recurring decimal.

Step 7: Add the decimal 0.0833… to the whole number 2 to get 2.0833…

The answer for 2 1/12 as a decimal will be 2.0833…

Important Glossaries for 2 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 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 in which a sequence of digits repeats infinitely.

Explore More math-questions

About BrightChamps in United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 2 1/12 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!