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Last updated on May 26th, 2025

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17/24 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 17 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 the 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.

17/24 as a Decimal for Saudi Students
Professor Greenline from BrightChamps

What is 17/24 as a decimal?

17/24 as a decimal

 

Answer

 

17/24 in decimals can be written as approximately 0.7083. It is a terminating decimal.

 

Explanation

 

To get 17/24 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (24) will be taken as the divisor.

 

Step 2: 17 is smaller than 24, so it can't be divided directly, and we will add a decimal point in the quotient place.

 

Step 3: Add 0 to the dividend, making it 170, and divide by 24.

 

Step 4: Determine how many times 24 fits into 170. 24 × 7 = 168, which is the closest multiple of 24 less than 170. Write 7 in the quotient place.

 

Step 5: Subtract 168 from 170 to get 2 as the remainder. Bring down another 0 to make it 20.

 

Step 6: 24 does not fit into 20, so write 0 in the quotient, bring down another 0 to make it 200.

 

Step 7: 24 × 8 = 192, which fits into 200. Write 8 in the quotient place.

 

Step 8: Subtract 192 from 200 to get 8 as the remainder. Bring down another 0 to make it 80.

 

Step 9: 24 × 3 = 72, which fits into 80. Write 3 in the quotient place.

 

Step 10: Subtract 72 from 80 to get 8 as the remainder. Since further division will continue in a similar repeating pattern, the answer for 17/24 as a decimal will be approximately 0.7083.

Professor Greenline from BrightChamps

Important Glossaries for 17/24 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.
Professor Greenline from BrightChamps

About BrightChamps in Saudi Arabia

At BrightChamps, math questions are more than just sums—they unlock a world of possibilities! Our mission is to guide children across Saudi Arabia in mastering vital skills, including today’s focus on the 17/24 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster moves at Riyadh’s Al Hokair Land, tracking scores at a local football match, or managing their allowance for gadgets, strong math skills boost their confidence for everyday challenges. Our interactive lessons are both fun and simple to follow. Since children in Saudi Arabia learn in many ways, we tailor our teaching to each child’s unique style. From the bustling streets of Riyadh to the historic sites of Jeddah, BrightChamps makes math come alive, making it relatable and exciting throughout Saudi Arabia. Let’s make decimal conversions a fun part of every child’s math adventure!
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