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Last updated on May 26th, 2025

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3 15/44 as a Decimal

Professor Greenline Explaining Math Concepts

This is a simple question on decimal conversion. Firstly, we have to understand mixed numbers and decimals. A mixed number consists of a whole number and a fraction. The fraction has two parts, the numerator (the number on the top) and the denominator (the number below). A decimal is a way to represent a number that is 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.

3 15/44 as a Decimal for UAE Students
Professor Greenline from BrightChamps

What is 3 15/44 as a decimal?

3 15/44 as a decimal

Answer

 

3 15/44 as a decimal can be written as approximately 3.3409. This is a terminating decimal.

 

Explanation

 

To convert 3 15/44 to a decimal, we first convert the fractional part 15/44 to a decimal and then add it to the whole number 3. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the whole number and the fraction. The whole number is 3, and the fraction is 15/44.

 

Step 2: To convert 15/44 to a decimal, we use division. Divide 15 by 44.

 

Step 3: Since 15 is smaller than 44, we add a decimal point and a zero to 15, making it 150.

 

Step 4: Divide 150 by 44. 44 goes into 150 three times, which gives us 132. Subtract 132 from 150 to get 18.

 

Step 5: Bring down another zero to make it 180. Divide 180 by 44, which goes four times, giving us 176. Subtract 176 from 180 to get 4.

 

Step 6: Bring down another zero to make it 40. Divide 40 by 44, which goes zero times.

 

Step 7: Bring down another zero to make it 400. Divide 400 by 44, which goes nine times, giving us 396. Subtract 396 from 400 to get 4.

 

Step 8: Since the remainder repeats, we stop here, and the decimal is approximately 0.3409.

 

Finally, add this to the whole number 3 to get 3.3409.

Professor Greenline from BrightChamps

Important Glossaries for 3 15/44 as a decimal

  • Mixed Number: A number consisting of a whole number and a fraction.
     
  • Fraction: A numerical quantity that represents 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.
Professor Greenline from BrightChamps

About BrightChamps in United Arab Emirates

At BrightChamps, math questions are much more than numbers—they open doors to countless opportunities! We aim to help children across the UAE develop essential skills like today’s focus on the 3 15/44 as a Decimal, with a special emphasis on decimal conversions—in a way that’s fun, lively, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Dubai Parks and Resorts, keeping track of scores at a local football match, or managing their allowance for the latest gadgets, solid math skills give them the confidence to tackle everyday situations. Our lessons are designed to be interactive and enjoyable. Since children in the UAE learn differently, we customize our teaching to match each child’s style. From the towering skyscrapers of Dubai to the cultural richness of Abu Dhabi, BrightChamps brings math to life, making it exciting and relevant across the UAE. Let’s make decimal conversions a fun part of every child’s math journey!
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