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Last updated on May 26th, 2025

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33/24 as a Decimal

Professor Greenline Explaining Math Concepts

Converting fractions to decimals is a straightforward process. To begin, it's essential to understand both fractions and decimals. A fraction represents a part of a whole and includes two parts: the numerator (the top number), which shows how many parts are being considered, and the denominator (the bottom number), which indicates how many parts make up the whole. Decimals, on the other hand, use a decimal point to separate the whole number part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.

33/24 as a Decimal for Saudi Students
Professor Greenline from BrightChamps

What is 33/24 as a decimal?

33/24 as a decimal

Answer

 

33/24 as a decimal is 1.375. It is a terminating decimal, meaning it ends after a few digits.

 

Explanation

 

To convert 33/24 into a decimal, we use the division method. Since 33 is larger than 24, we don't need to immediately use a decimal point. Let's break down the process step by step:

 

Step 1: Identify the numerator and denominator. The numerator (33) is the dividend, and the denominator (24) is the divisor.

 

Step 2: Divide 33 by 24 directly. 24 goes into 33 one time. Write 1 in the quotient place.

 

Step 3: Subtract 24 from 33 to get a remainder of 9.

 

Step 4: Bring down a 0 to make it 90 and place a decimal point in the quotient.

 

Step 5: 24 goes into 90 three times (3 × 24 = 72). Write 3 in the quotient place. Subtract 72 from 90 to get 18.

 

Step 6: Bring down another 0 to make it 180.

 

Step 7: 24 goes into 180 seven times (7 × 24 = 168). Write 7 in the quotient place. Subtract 168 from 180 to get 12.

 

Step 8: Bring down another 0 to make it 120.

 

Step 9: 24 goes into 120 five times (5 × 24 = 120), leaving no remainder.

 

Thus, 33/24 as a decimal is 1.375.

Professor Greenline from BrightChamps

Important Glossaries for 33/24 as a decimal

  • Fraction: A numerical representation of a part of a whole.
     
  • Decimal: A numerical system using a decimal point to indicate a fraction.
     
  • Numerator: The top number in a fraction, showing the parts being considered.
     
  • Denominator: The bottom number in a fraction, showing the parts that make up a whole.
     
  • Terminating Decimal: A decimal number that has a finite number of digits after the decimal point.
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 33/24 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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