37/60 as a Decimal

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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 from the whole. It has two parts: numerator (number on the top) here, 37 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 60. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 37/60 as a decimal?

$37/60 as a decimal$

Answer

37/60 in decimals can be written as 0.6166... It is a recurring decimal, showing it will repeat the same pattern infinitely.

Explanation

To get 37/60 in decimal, we will use the division method. Here as 37 is smaller than 60, we will take the help of the decimal method which will give us 0.6166. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (37) will be taken as the dividend and the denominator (60) will be taken as the divisor.

Step 2: As 37 is smaller than 60, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 37 as 370 and add a decimal point in the quotient place.

Step 3: Now that it is 370, we can divide it by 60. Let's see how many times 60 makes 370.

Step 4: 370 is not a multiple of 60, so we will look for the nearest number that is 60 × 6 = 360. We will write 6 in the quotient place and subtract 360 from 370 to get 10.

Step 5: Bring down another 0 in the dividend place, making it 100, and then repeat the division process. The division process continues, repeating the pattern of 6, showing it is a recurring decimal.

The answer for 37/60 as a decimal will be 0.6166...

Important Glossaries for 37/60 as a decimal

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.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.