1/45 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: the numerator (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 45. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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 1/45 as a decimal?

$1/45 as a decimal$

Answer

1/45 in decimals can be written as 0.022222….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1/45 in decimal, we will use the division method. Here as 1 is smaller than 45, we will take help of the decimal method which will give us 0.02222. 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 (45) will be taken as the divisor.

Step 2: As 1 is smaller than 45, 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 cannot divide it by 45, so we bring down another 0 to make it 100.

Step 4: 100 is not a multiple of 45, so we will look for the nearest number that is less than 100, which is 45 × 2 = 90. We will write 2 in the quotient place and subtract 90 from 100, which gives 10.

Step 5: Bring down another 0 in the dividend place to make it 100 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 1/45 as a decimal will be 0.02222……

Important Glossaries for 1/45 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 that repeats the same digit or group of digits infinitely.