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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 Australian 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 Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 3 3/7 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!
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