11/6 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 11, representing how many parts out of the whole; and the denominator (the number below), here 6, showing 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 11/6 as a decimal?

$11/6 as a decimal$

Answer

11/6 in decimals can be written as 1.83333... It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 11/6 in decimal form, we will use the division method. Since 11 is larger than 6, we can divide it directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (11) will be taken as the dividend, and the denominator (6) will be taken as the divisor.

Step 2: Divide 11 by 6. Since 11 is greater than 6, we can perform the division.

Step 3: 6 goes into 11 once. We write 1 in the quotient place and subtract 6 from 11, which gives 5. Step 4: Bring down a 0 to make it 50, then divide by 6.

Step 5: 6 goes into 50 eight times (6 × 8 = 48). Write 8 in the quotient, subtract 48 from 50, which gives 2.

Step 6: Bring down another 0 to make it 20, then divide by 6.

Step 7: 6 goes into 20 three times (6 × 3 = 18). Write 3 in the quotient, subtract 18 from 20, which gives 2.

Step 8: Repeat the process, and you'll get another 3. The division process continues, and the remainder doesn't become 0, indicating a recurring decimal.

The answer for 11/6 as a decimal is 1.8333...