59/60 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 of the whole. It has two parts, the numerator (number on the top) here, 59, 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 a 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 59/60 as a decimal?

$59/60 as a decimal$ Answer

59/60 in decimals can be written as 0.98333. It is a recurring decimal, showing that it will repeat the same digit infinitely.

Explanation

To get 59/60 in decimal, we will use the division method. Here, as 59 is smaller than 60, we will take the help of the decimal method, which will give us 0.9833. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (59) will be taken as the dividend and the denominator (60) will be taken as the divisor.

Step 2: As 59 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 59 as 590 and add a decimal point in the quotient place.

Step 3: Now that it is 590, we can divide it by 60. Let's see how many times 60 makes 590.

Step 4: 590 is not a multiple of 60, so we will look for the nearest number that is 60 × 9 = 540. We will write 9 in the quotient place and subtract 540 from 590, which gives 50.

Step 5: Bring down another 0 in the dividend place and make 50 as 500 and then repeat the division process. The division process continues; we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 59/60 as a decimal will be 0.9833…

Important Glossaries for 59/60 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 a sequence of digits repeats infinitely.