1/72 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 (the number on the top), here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 72. 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 1/72 as a decimal?

$1/72 as a decimal$

Answer

1/72 in decimals can be written as 0.013888… It is a recurring decimal, showing it will repeat certain digits infinitely.

Explanation

To get 1/72 in decimal, we will use the division method. Here, as 1 is smaller than 72, we will take the help of the decimal method, which will give us 0.013888. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend, and the denominator (72) will be taken as the divisor.

Step 2: As 1 is smaller than 72, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now, that it is 10, we can divide it by 72. Let's see how many times 72 fits into larger numbers.

Step 4: Continue the process by bringing down zeros, turning 10 into 100, then 1000, and so on, calculating how many times 72 can fit and subtracting accordingly.

Step 5: The division process will continue, and we will find that it results in a recurring decimal.

The answer for 1/72 as a decimal will be 0.013888…

Important Glossaries for 1/72 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.