9/45 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 of the whole. It has two parts: numerator (number on the top) here, 9 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 9/45 as a decimal?

$9/45 as a decimal$

Answer

9/45 in decimals can be simplified first to 1/5, which can be written as 0.2. It is a terminating decimal, showing it ends after a finite number of digits.

Explanation

To convert 9/45 into a decimal, we will use the division method. First, simplify the fraction by finding the greatest common divisor (GCD) of 9 and 45, which is 9. Divide both the numerator and the denominator by their GCD:

Step 1: Simplify the fraction 9/45 by dividing both numerator and denominator by 9, resulting in 1/5.

Step 2: Now, take the simplified fraction 1/5 and convert it to a decimal using division. The numerator (1) will be the dividend, and the denominator (5) will be the divisor.

Step 3: Divide 1 by 5. Since 1 is less than 5, add a decimal point and a zero to make it 10.

Step 4: Divide 10 by 5, which equals 2.

Step 5: The division ends here with no remainder, indicating a terminating decimal.

The answer for 9/45 as a decimal is 0.2.

Important Glossaries for 9/45 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.