2 6/8 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

Advance Topics

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) here, 6 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent a 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 2 6/8 as a decimal?

$2 6/8 as a decimal$

Answer

2 6/8 in decimals can be written as 2.75. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To get 2 6/8 in decimal, we will first convert the mixed number to an improper fraction. The improper fraction is 22/8. Then, we perform the division to convert it into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Convert the mixed number to an improper fraction. Multiply the whole number part (2) by the denominator (8) and add the numerator (6), which gives us 22. Thus, the fraction is 22/8.

Step 2: Divide 22 by 8.

Step 3: 8 goes into 22 two times. 2 × 8 = 16. Subtract 16 from 22, which leaves us with 6.

Step 4: Bring down a 0, making it 60. Divide 60 by 8, which goes 7 times. 7 × 8 = 56. Subtract 56 from 60, which leaves us with 4.

Step 5: Bring down another 0, making it 40. Divide 40 by 8, which goes 5 times. 5 × 8 = 40. Subtract 40 from 40, which leaves us with 0.

The division process ends here, and the answer for 2 6/8 as a decimal is 2.75.

Important Glossaries for 2 6/8 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.