45 1/9 as a Decimal

Answer

45 1/9 in decimals can be written as 45.11111…. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 45 1/9 to a decimal, we will convert the fractional part 1/9 to a decimal and then add it to the whole number 45. Let's see the step-by-step breakdown of the process.

Step 1: Identify the whole number and the fraction. The whole number is 45, and the fraction is 1/9.

Step 2: To convert 1/9 to a decimal, use division. Since 1 is smaller than 9, we will use the decimal method.

Step 3: Divide 1 by 9.

Step 4: 1 is less than 9, so we add a decimal point and a zero to make it 10.

Step 5: 9 fits into 10 once, so we place 1 in the quotient, subtract 9 from 10, and get 1 as the remainder.

Step 6: Bring down another 0 to make it 10 again, and repeat the process.

Step 7: The result is a recurring decimal: 0.1111…

Step 8: Add this decimal to the whole number 45 to get 45.1111…

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.