3 4/9 as a Decimal

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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: the numerator (number on the top) here, 3 4/9 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9 for the fractional part. 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 those to the right represent the fractional part.

What is 3 4/9 as a decimal?

$3 4/9 as a decimal$

Answer

3 4/9 in decimals can be written as 3.4444….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 3 4/9 in decimal, we will first convert the fractional part using the division method. Let's break down the process step by step:

Step 1: Identify the fractional part, which is 4/9. The numerator (4) will be taken as the dividend, and the denominator (9) will be taken as the divisor.

Step 2: Divide 4 by 9. Since 4 is smaller than 9, we add a decimal point and convert 4 into 40.

Step 3: Divide 40 by 9. 9 goes into 40 four times since 9 × 4 = 36.

Step 4: Subtract 36 from 40, which gives us 4. Bring down a 0, making it 40 again, and repeat the division process.

Step 5: The division process continues, and we don't get a remainder of 0. This process results in a recurring decimal. Finally, add the whole number part, which is 3, to get the complete decimal: 3.4444...

The answer for 3 4/9 as a decimal will be 3.4444……

Important Glossaries for 3 4/9 as a decimal

Mixed Number: A number consisting of an integer and a fraction.
Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
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.