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Last updated on May 26th, 2025

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49/60 as a decimal

Professor Greenline Explaining Math Concepts

This is a simple question about decimal conversion. We need to understand fractions and decimals first. A fraction represents a part of a whole and consists of two parts: the numerator (the number on top), which in this case is 49, indicating how many parts are considered; and the denominator (the number below), which is 60, showing the total number of parts that make up the whole. A decimal is a way to represent numbers that are not whole, using a decimal point to separate the whole part from the fractional part. Numbers to the left of the decimal point represent the whole part, while those to the right represent the fractional part.

49/60 as a decimal for Filipino Students
Professor Greenline from BrightChamps

What is 49/60 as a decimal?

49/60 as a decimal

Answer

 

49/60 as a decimal is approximately 0.81666... It is a non-terminating, recurring decimal, where the digit 6 repeats infinitely.

 

Explanation

 

To convert 49/60 into a decimal, we use division. Since 49 is smaller than 60, we'll need to use the decimal method to find the answer:

 

Step 1: Identify the numerator and denominator. The numerator (49) will be the dividend, and the denominator (60) will be the divisor.

 

Step 2: 49 is smaller than 60, so we can't divide directly. We'll introduce a decimal point and add zero to the dividend, making it 490.

 

Step 3: Divide 490 by 60. Determine how many times 60 fits into 490.

 

Step 4: 60 goes into 490 approximately 8 times since 60 x 8 = 480. Write 8 in the quotient and subtract 480 from 490, leaving a remainder of 10.

 

Step 5: Bring down another 0, making it 100. Divide 100 by 60, which goes once, leaving a remainder of 40.

 

Step 6: Bring down another 0, making it 400. Divide 400 by 60, which goes 6 times, leaving a remainder of 40. This process repeats, showing that 6 is a recurring digit.

 

Thus, 49/60 as a decimal is approximately 0.81666...

Professor Greenline from BrightChamps

Important Glossaries for 49/60 as a decimal

  • Fraction: A part of a whole, represented by a numerator and a denominator.
     
  • Decimal: A number system based on ten, using a decimal point to separate the whole number from the fractional part.
     
  • Numerator: The top number of a fraction, indicating the number of parts being considered.
     
  • Denominator: The bottom number of a fraction, signifying the total number of equal parts in the whole.
     
  • Recurring Decimal: A decimal in which one or more digits repeat infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, math questions are more than just calculations—they open up countless possibilities! Our goal is to help children throughout the Philippines build important skills, such as today’s focus on the 49/60 as a decimal with a special focus on decimal conversions—in a lively, enjoyable, and simple way. Whether your child is figuring out the speed of a roller coaster at Enchanted Kingdom, following scores at a local basketball game, or managing their allowance to buy gadgets, mastering math gives them the confidence they need for everyday life. Our interactive lessons make learning fun and straightforward. Because kids in the Philippines learn in different ways, we tailor our approach to fit each child’s style. From the busy streets of Manila to the beautiful islands of Palawan, BrightChamps brings math to life, making it relatable and exciting across the Philippines. Let’s make decimal conversions a fun part of every child’s math journey!
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