2 1/6 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A mixed number combines a whole number and a fraction, such as 2 1/6. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top), here 1, which represents how many parts out of the whole are being considered. The denominator (the number below) shows how many parts make the whole, here it is 6. A decimal is a way to represent a number that is not whole, using a decimal point (.) 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.

What is 2 1/6 as a decimal?

$2 1/6 as a decimal$

Answer

2 1/6 as a decimal can be written as 2.16666… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 2 1/6 to a decimal, we first convert the fraction 1/6 to a decimal. Let's use the division method to convert 1/6:

Step 1: Identify the numerator and denominator. The numerator (1) will be taken as the dividend, and the denominator (6) will be taken as the divisor.

Step 2: As 1 is smaller than 6, it can't be divided directly. We will use a decimal point and add 0 to the dividend, making it 10, and place a decimal point in the quotient.

Step 3: Divide 10 by 6. The nearest whole number is 6 × 1 = 6. Write 1 in the quotient, subtract 6 from 10, resulting in 4.

Step 4: Bring down another 0, making it 40. Divide 40 by 6. The nearest whole number is 6 × 6 = 36. Write 6 in the quotient, subtract 36 from 40, resulting in 4.

Step 5: Repeat the process. The remainder will never be 0, indicating a recurring decimal. The decimal for 1/6 is 0.16666…

So, 2 1/6 as a decimal is 2 + 0.16666…, which equals 2.16666…

Important Glossaries for 2 1/6 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.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.