45 1/9 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A mixed number like 45 1/9 consists of a whole number and a fraction. The whole number here is 45. In the fraction 1/9, the numerator (number on the top) is 1, representing how many parts out of the whole, and the denominator (number below) is 9, showing how many parts make the whole. 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 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 45 1/9 as a decimal?

$45 1/9 as a decimal$

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…

Important Glossaries for 45 1/9 as a decimal

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.