2 11/15 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn mixed numbers, fractions, and decimals. A mixed number consists of a whole number and a fraction. A fraction represents a part from the whole. The fraction has two parts, the numerator (number on the top) which represents how many parts out of the whole are considered, and the denominator (number below) shows how many parts make the whole. A decimal is a way to represent numbers that are not whole, using 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 11/15 as a decimal?

$2 11/15 as a decimal$

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….

Important Glossaries for 2 11/15 as a decimal

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.