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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 US 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 United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 33/24 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!
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