2 13/16 as a Decimal

Answer

2 13/16 in decimal form can be written as 2.8125. It is a terminating decimal.

Explanation

To convert 2 13/16 into a decimal, we first convert the fractional part 13/16 to decimal using division, 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 part (2) and the fractional part (13/16).

Step 2: Convert the fractional part 13/16 to a decimal.

Step 3: Divide 13 by 16.

Step 4: 13 is smaller than 16, so we use decimal division. Add a decimal point and zeros to 13 to make it 130, and start dividing.

Step 5: 16 goes into 130 eight times (16 × 8 = 128), leaving a remainder of 2.

Step 6: Bring down another 0, making it 20.

Step 7: 16 goes into 20 once (16 × 1 = 16), leaving a remainder of 4.

Step 8: Bring down another 0, making it 40.

Step 9: 16 goes into 40 two times (16 × 2 = 32), leaving a remainder of 8.

Step 10: Bring down another 0, making it 80.

Step 11: 16 goes into 80 five times (16 × 5 = 80), leaving no remainder. The fractional part 13/16 as a decimal is 0.8125.

Step 12: Add the whole number 2 to the decimal 0.8125, resulting in 2.8125.

Thus, 2 13/16 as a decimal is 2.8125.

• 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.

• Mixed Number: A whole number and a proper fraction combined, such as 2 13/16.

• Terminating Decimal: A decimal that ends and does not repeat infinitely, such as 2.8125.

• Division Method: A mathematical process used to convert fractions into decimals by dividing the numerator by the denominator.