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Last updated on May 26th, 2025

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3 3/7 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of the whole and consists of two parts: the numerator (the number on the top), which represents how many parts out of the whole, and the denominator (the number below), which shows how many parts make up the whole. 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 3/7 as a Decimal for Thai Students
Professor Greenline from BrightChamps

What is 3 3/7 as a decimal?

3 3/7 as a decimal

 

Answer

 

3 3/7 in decimals can be written as 3.428571. It is a recurring decimal, repeating the sequence 428571 infinitely.

 

Explanation

 

To convert 3 3/7 to a decimal, we separate the whole number from the fractional part. The fraction 3/7 is what we need to convert to a decimal. Let's use long division to find the decimal equivalent of 3/7.

 

Step 1: Identify the numerator and denominator because the numerator (3) is the dividend and the denominator (7) is the divisor.

 

Step 2: As 3 is smaller than 7, it cannot be divided without a remainder, so we use decimals. Add a decimal point in the quotient and consider 3.000000 for division.

 

Step 3: Divide 30 by 7, which gives 4 in the quotient, with a remainder of 2.

 

Step 4: Bring down the next 0, making it 20. Divide 20 by 7, which gives 2, with a remainder of 6.

 

Step 5: Repeat the process. Bring down another 0 to make 60, divide by 7 to get 8, with a remainder of 4.

 

Step 6: Continue this division process. The repeating cycle "428571" emerges, indicating a recurring decimal.

 

The result for 3/7 as a decimal is 0.428571, so 3 3/7 as a decimal is 3.428571...

Professor Greenline from BrightChamps

Important Glossaries for 3 3/7 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.

 

  • Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Thailand

At BrightChamps, math questions go beyond simple problems—they open the door to endless opportunities! Our goal is to help children throughout Thailand master important skills, such as today’s focus on the 3 3/7 as a Decimal, with a special focus on decimal conversions—in a way that’s engaging, fun, and simple to follow. Whether your child is calculating the speed of a roller coaster at Dream World, tracking scores at a local football match, or managing their allowance to buy the latest gadgets, solid math skills give them the confidence to handle everyday tasks. Our lessons are designed to be interactive and enjoyable. Because children in Thailand have different learning styles, we customize our teaching to suit each one. From the busy streets of Bangkok to the tropical islands of Phuket, BrightChamps brings math to life, making it relatable and exciting across Thailand. Let’s make decimal conversions a fun part of every child’s math journey!
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