9 4/9 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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: numerator (number on the top), which represents how many parts out of the whole, and denominator (number below), which shows how many parts make the whole. A decimal is a way to represent numbers that are not whole, using a (.) or a decimal point 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 4/9 as a decimal?

$9 4/9 as a decimal$

Answer

9 4/9 in decimals can be written as 9.44444… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 9 4/9 to a decimal, we will first convert the fractional part 4/9 to a decimal using the division method.

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend, and the denominator (9) will be taken as the divisor.

Step 2: As 4 is smaller than 9, it can't be divided directly, so we will use decimals. We add 0 to the dividend, making 4 as 40 and add a decimal point in the quotient place.

Step 3: Now that it is 40, we can divide it by 9. Let's see how many times 9 fits into 40.

Step 4: 40 is not a multiple of 9, so we use the closest multiple, which is 9 × 4 = 36. We write 4 in the quotient place and subtract 36 from 40, giving us 4.

Step 5: Bring down another 0 in the dividend place, making it 40, and repeat the division process. The division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

The answer for 9 4/9 as a decimal will be 9.4444……

Important Glossaries for 9 4/9 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.