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Last updated on May 26th, 2025

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5 2/3 as a Decimal

Professor Greenline Explaining Math Concepts

This is a straightforward question on decimal conversion. To begin, we need to understand fractions and decimals. A mixed number like 5 2/3 consists of a whole number (5) and a fraction (2/3). A decimal is a way to represent numbers that are not whole, using a period (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.

5 2/3 as a Decimal for Filipino Students
Professor Greenline from BrightChamps

What is 5 2/3 as a decimal?

5 2/3 as a decimal

 

Answer

 

5 2/3 in decimals can be written as 5.66666… It is a recurring decimal, indicating that the digit 6 repeats infinitely.

 

Explanation

 

To convert 5 2/3 into a decimal, start by converting the fractional part (2/3) into a decimal. We will use the division method for this.

 

Step 1: Identify the numerator (2) and the denominator (3). The numerator will be the dividend, and the denominator will be the divisor.

 

Step 2: As 2 is smaller than 3, we will use decimals to proceed with the division. We add a decimal in the quotient and a zero to the dividend, making it 20.

 

Step 3: Divide 20 by 3. The closest multiple of 3 to 20 is 18 (3 × 6), so we place 6 in the quotient. Subtract 18 from 20 to get a remainder of 2.

 

Step 4: Bring down another 0 to make 2 into 20, then repeat the division process. This process continues, and the remainder never reaches 0, resulting in a recurring decimal for 2/3, which is 0.6666…

 

Finally, add this to the whole number 5, giving us 5.6666… as the decimal representation of 5 2/3.

Professor Greenline from BrightChamps

Important Glossaries for 5 2/3 as a decimal

  • Mixed Number: A whole number and a fraction combined into one "mixed" number.

 

  • 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.

 

  • Recurring Decimal: A decimal fraction that has one or more repeating digits or sequence of digits following the decimal point.

 

  • Division Method: A mathematical process to convert fractions into decimals by dividing the numerator by the denominator.
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 5 2/3 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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