2 11/15 as a Decimal

Answer

2 11/15 in decimal form can be written as 2.7333…. It is a recurring decimal because the digit '3' will repeat infinitely.

Explanation

To convert 2 11/15 to a decimal, we first convert the fraction 11/15 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 (2) and the fraction (11/15).

Step 2: Convert the fraction part (11/15) to a decimal using division. The numerator (11) will be the dividend and the denominator (15) will be the divisor.

Step 3: Divide 11 by 15. As 11 is smaller than 15, we will add a decimal point in the quotient and add zero to make it 110.

Step 4: Divide 110 by 15. We find that 15 × 7 = 105, which is the nearest multiple less than 110.

Step 5: Write 7 in the quotient. Subtract 105 from 110 to get 5.

Step 6: Bring down another 0 to make it 50 and divide by 15 again. Repeat this process to continue the division.

Step 7: This process is called recurring decimal conversion because the remainder does not become zero, and the digit '3' repeats.

The answer for 2 11/15 as a decimal is 2.7333….

• Mixed Number: A numerical expression consisting of a whole number and a fraction combined.
   
• Fraction: A numerical quantity that represents a part of a whole, not a whole number itself.
   
• Decimal: A number expressed in the scale of ten, using a decimal point to separate the whole part from the fractional part.
   
• Recurring Decimal: A decimal fraction that repeats the same digit or group of digits infinitely.
   
• Division: The mathematical operation where a number is evenly distributed into a certain number of parts.