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.

• 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.