1 2/6 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

Advance Topics

Converting fractions to decimals is a fundamental math concept. We begin by understanding fractions and decimals. A fraction represents a portion of a whole, consisting of a numerator (the top number) and a denominator (the bottom number). For instance, in 1 2/6, the whole number is 1, and the fraction 2/6 indicates that 2 parts of a total of 6 parts are being considered. A decimal represents numbers that are not whole, using a decimal point to separate the whole part from the fractional part. Numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.

What is 1 2/6 as a decimal?

$1 2/6 as a decimal$ Answer

1 2/6 as a decimal is 1.3333. It is a recurring decimal, meaning the digit 3 repeats infinitely.

Explanation

To convert 1 2/6 into a decimal, we first simplify the fraction 2/6, which reduces to 1/3. Then we convert 1/3 into a decimal using division. Let's break down the process step by step:

Step 1: Identify the whole number (1) and the fraction (2/6). Simplify 2/6 to 1/3.

Step 2: Convert 1/3 into a decimal. Since 1 is smaller than 3, we use the division method to find the decimal equivalent, which is 0.3333...

Step 3: Combine the whole number with the decimal fraction. The whole number is 1, and the decimal fraction is 0.3333, resulting in 1.3333.

The conversion of 1 2/6 to a decimal is 1.3333, a recurring decimal.

Important Glossaries for 1 2/6 as a decimal

Fraction: A portion of a whole, represented with a numerator and a denominator.
Decimal: A numeral system based on ten, using a decimal point to separate whole numbers from fractional parts.
Numerator: The top number in a fraction, indicating how many parts are considered.
Denominator: The bottom number in a fraction, indicating into how many parts the whole is divided.
Recurring Decimal: A decimal that repeats a digit or group of digits indefinitely after the decimal point.