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Last updated on May 26th, 2025

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49/50 as a Decimal

Professor Greenline Explaining Math Concepts

This is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top) here, 49 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 50. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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.

49/50 as a Decimal for Canadian Students
Professor Greenline from BrightChamps

What is 49/50 as a decimal?

49/50 as a decimal

Answer

 

49/50 in decimals can be written as 0.98. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 49/50 into a decimal, we will use the division method. Since 49 is smaller than 50, we will use the decimal method which will give us 0.98. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (49) will be taken as the dividend and the denominator (50) will be taken as the divisor.

 

Step 2: As 49 is smaller than 50, it can't be divided as is, so we will take the help of decimals. We will add 0 to the dividend, which will make 49 as 490 and add a decimal point in the quotient place.

 

Step 3: Now that it is 490, we can divide it by 50. Let's see how many times 50 fits into 490.

 

Step 4: 490 divided by 50 gives 9, since 50 × 9 = 450. We will write 9 in the quotient place and subtract 450 from 490, giving a remainder of 40.

 

Step 5: Bring down another 0 in the dividend place to make it 400, then divide again.

 

Step 6: 400 divided by 50 gives 8, since 50 × 8 = 400, leaving no remainder.

 

This process shows that 49/50 as a decimal is 0.98, which is a terminating decimal.

Professor Greenline from BrightChamps

Important Glossaries for 49/50 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 Canada

At BrightChamps, math questions are more than just calculations—they’re pathways to new possibilities! We aim to help children all over Canada build key skills, such as today’s focus on the 49/50 as a Decimal with an emphasis on decimal conversions—taught in an engaging, fun, and clear manner. Whether your child is figuring out how fast a roller coaster moves at Canada’s Wonderland, keeping score during a hockey game, or managing their allowance for gadgets, strong math skills give them confidence for everyday situations. Our engaging lessons are designed to be easy and enjoyable. Since children in Canada learn in diverse ways, we customize our teaching to match their needs. From the vibrant streets of Toronto to the stunning scenery of British Columbia, BrightChamps makes math come alive, making it exciting and relevant across Canada. Let’s turn decimal conversions into a fun part of every child’s math experience!
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