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Last updated on May 26th, 2025

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7 1/3 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 mixed number like 7 1/3 combines a whole number with a fraction. The whole number here is 7, and the fraction is 1/3. A fraction represents a part of a whole, with the top part being the numerator (1) and the bottom part being the denominator (3). A decimal is a method to express numbers that aren't whole, using a decimal point to separate the whole number part from the fractional part.

7 1/3 as a Decimal for Singaporean Students
Professor Greenline from BrightChamps

What is 7 1/3 as a decimal?

Answer:

 

7 1/3 in decimal form can be written as 7.3333... It is a recurring decimal, indicating that the digit 3 will repeat infinitely.

 

Explanation :

 

To convert 7 1/3 to a decimal, we need to convert the fraction part first. Here’s how we do it:

 

Step 1: Identify the whole number (7) and the fraction (1/3).

 

Step 2: Convert 1/3 to a decimal using division. Since 1 is smaller than 3, we add a decimal point and a zero to make it 10, then divide.

 

Step 3: Divide 10 by 3. The closest multiple is 3 x 3 = 9. Write 3 in the quotient and subtract 9 from 10, leaving a remainder of 1.

 

Step 4: Bring down another 0 to make it 10 again, and repeat the division process.

 

Step 5: This division results in a recurring decimal of 0.3333...

 

Step 6: Combine the whole number with the decimal fraction to get 7.3333...

Professor Greenline from BrightChamps

Important Glossaries for 7 1/3 as a decimal

  • Mixed Number: A number consisting of an integer and a fraction.

 

  • Fraction: A part of a whole, expressed with a numerator and a denominator.

 

  • Decimal: A number that uses a decimal point to show a part of a whole.

 

  • Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.

 

  • Whole Number: A number without fractions; an integer.
Professor Greenline from BrightChamps

About BrightChamps in Singapore

At BrightChamps, we believe math questions are more than just exercises—they’re opportunities for growth! Our mission is to support children across Singapore in developing important skills, such as today’s focus on the 7 1/3 as a Decimal with a key emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Universal Studios Singapore, tracking scores at a local football match, or managing their allowance for the latest gadgets, strong math skills build their confidence to face daily tasks. Our lessons are interactive and fun. Since kids in Singapore have diverse learning styles, we customize our teaching to suit each child. From the bustling city streets to the scenic gardens, BrightChamps makes math come alive, making it relevant and exciting throughout Singapore. Let’s make decimal conversions an enjoyable part of every child’s learning journey!
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