5/24 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 of a whole. It has two parts: the numerator (number on the top) here, 5 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 24. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 5/24 as a decimal?

$5/24 as a decimal$

Answer

5/24 in decimal form can be written as approximately 0.2083. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 5/24 in decimal form, we will use the division method. Since 5 is smaller than 24, we will use the decimal method, which will give us approximately 0.2083. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (24) as the divisor.

Step 2: As 5 is smaller than 24, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, making it 50, and add a decimal point in the quotient place

Step 3: Now that it is 50, we divide it by 24. 24 goes into 50 twice (24 × 2 = 48), subtract 48 from 50 to get 2.

Step 4: Bring down another 0, making it 20. 24 goes into 20 zero times, so we bring down another 0, making it 200.

Step 5: 24 goes into 200 eight times (24 × 8 = 192), subtract 192 from 200 to get 8.

Step 6: Bring down another 0, making it 80. 24 goes into 80 three times (24 × 3 = 72), subtract 72 from 80 to get 8. The division process stops here as we can see the decimal is 0.2083.

The answer for 5/24 as a decimal is approximately 0.2083.

Important Glossaries for 5/24 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.