44/9 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 from the whole. It has two parts, numerator (number on the top) here, 44 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. 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 fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 44/9 as a decimal?

$44/9 as a decimal$

Answer

44/9 in decimals can be written as 4.88888….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 44/9 in decimal, we will use the division method. Here, 44 is larger than 9, so we can directly divide. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (44) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 44 by 9. The integer part of the division is 4, as 9 goes into 44 four times (9 × 4 = 36).

Step 3: Subtract 36 from 44, which gives 8.

Step 4: Bring down a zero to make it 80 and divide by 9. 9 goes into 80 eight times (9 × 8 = 72).

Step 5: Subtract 72 from 80, which gives 8. Bring down another 0, making it 80, and repeat the division process. This process continues as a recurring decimal.

The answer for 44/9 as a decimal will be 4.8888……

Important Glossaries for 44/9 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a division 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 in which a pattern of one or more digits repeats infinitely.