8 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 mixed number like 8 4/9 consists of a whole number and a fraction. The fraction part has a numerator (the number on the top), here 4, representing how many parts out of the whole. The denominator (the number below) shows how many parts make up a whole, here it is 9. A decimal represents numbers that are not whole using 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 8 4/9 as a decimal?

$8 4/9 as a decimal$

Answer

8 4/9 as a decimal can be written as 8.4444…. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 8 4/9 to a decimal, we first convert the fraction 4/9 to a decimal using division. Let's see the step-by-step breakdown of the process.

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

Step 2: Divide 4 by 9. Since 4 is smaller than 9, we add a decimal point and zero to the dividend, making it 40.

Step 3: Determine how many times 9 fits into 40.

Step 4: 9 goes into 40 four times (9 × 4 = 36). Subtract 36 from 40, which leaves 4.

Step 5: Bring down another 0, making it 40 again, and repeat the division process. The division process continues, and the decimal repeats indefinitely. To combine it with the whole number, we add 8 to the result, giving us 8.4444….

Thus, 8 4/9 as a decimal is 8.4444….

Important Glossaries for 8 4/9 as a decimal

Mixed Number: A numerical expression that includes both a whole number and a fraction.
Recurring Decimal: A decimal number that has repeating digits or a repeating pattern of digits.
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.
Decimal Point: The dot (.) used in decimal numbers to separate the whole part from the fractional part.