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Last updated on May 26th, 2025

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25/6 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (the number on the top), here 25 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 6. 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.

25/6 as a Decimal for Filipino Students
Professor Greenline from BrightChamps

What is 25/6 as a decimal?

25/6 as a decimal

Answer

 

25/6 in decimals can be written as 4.1666….. It is a recurring decimal, showing that the digit 6 will repeat infinitely.

 

Explanation

 

To convert 25/6 into a decimal, we will use the division method. Since 25 is larger than 6, we can directly divide. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (25) will be taken as the dividend and the denominator (6) will be the divisor.

 

Step 2: Divide 25 by 6. We find that 6 goes into 25 four times, which gives 24.

 

Step 3: Subtract 24 from 25, leaving us with a remainder of 1.

 

Step 4: Bring down a 0 to make it 10, and place a decimal point in the quotient.

 

Step 5: Divide 10 by 6, which goes once, giving 6. Subtract 6 from 10, leaving 4.

 

Step 6: Bring down another 0 to make it 40, and divide by 6, which goes six times, giving 36. Subtract 36 from 40, leaving 4.

 

Step 7: Since the remainder is not zero, bring down another 0 and repeat the process, which results in 6 again. This process continues, showing a recurring decimal.

 

The answer for 25/6 as a decimal will be 4.1666……

Professor Greenline from BrightChamps

Important Glossaries for 25/6 as a decimal

  • Fraction: A numerical quantity representing a part of a whole, consisting of a numerator and a denominator.
     
  • 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.
     
  • Recurring Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.
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 25/6 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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