11/60 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 11, representing how many parts out of the whole, and the denominator (number below), here 60, showing how many parts make the whole. A decimal is a way to represent the number that is not whole, using a (.) or 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 11/60 as a decimal?

$11/60 as a decimal$

Answer

11/60 in decimals can be written as 0.18333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 11/60 in decimal, we will use the division method. Here, 11 is smaller than 60, so we will take the help of the decimal method which will give us 0.1833. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (60) will be taken as the divisor.

Step 2: As 11 is smaller than 60, it can't be divided, so we will take the help of decimals. We will add 0 to the dividend, which will make 11 as 110 and add a decimal point in the quotient place.

Step 3: Now that it is 110, we can divide it by 60. Let's see how many times 60 makes 110.

Step 4: 110 is not a multiple of 60, so we will look for the nearest number that is 60 × 1 = 60. We will write 1 in the quotient place and subtract 60 from 110, which gives 50.

Step 5: Bring down another 0 in the dividend place to make it 500 and then repeat the division process. The division process continues, and we get a repeating remainder. This process is called a recurring decimal.

The answer for 11/60 as a decimal will be 0.1833……