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...

• 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.

• Recurring Decimal: A decimal number in which a digit or group of digits repeats infinitely.

• Division Method: A technique used to convert fractions into decimal form through division.