2 5/6 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 fraction represents a part of the whole. It has two parts, the numerator (number on the top) here, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole. 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.

What is 2 5/6 as a decimal?

$2 5/6 as a decimal$

Answer

2 5/6 in decimal can be written as 2.8333... It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 2 5/6 to a decimal, we will first convert the fractional part 5/6 to a 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 fraction. Here, 2 is the whole number, and 5/6 is the fraction.

Step 2: Convert the fraction 5/6 into a decimal using the division method. The numerator (5) is the dividend, and the denominator (6) is the divisor.

Step 3: Since 5 is smaller than 6, we add a decimal point and a zero to the dividend, making it 50.

Step 4: Divide 50 by 6. The closest multiple of 6 is 48 (6 × 8), so we write 8 in the quotient. Subtract 48 from 50 to get a remainder of 2.

Step 5: Bring down another 0, making it 20, and divide by 6. Repeat the process: 6 goes into 20 three times (6 × 3 = 18), leaving a remainder of 2.

Step 6: This process continues indefinitely, with the remainder cycling through the same values, creating a recurring decimal 0.8333....

Step 7: Adding this to the whole number, 2 + 0.8333... gives us 2.8333...

The answer for 2 5/6 as a decimal is 2.8333...