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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 UAE 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 United Arab Emirates

At BrightChamps, math questions are much more than numbers—they open doors to countless opportunities! We aim to help children across the UAE develop essential skills like today’s focus on the 5 2/3 as a Decimal, with a special emphasis on decimal conversions—in a way that’s fun, lively, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Dubai Parks and Resorts, keeping track of scores at a local football match, or managing their allowance for the latest gadgets, solid math skills give them the confidence to tackle everyday situations. Our lessons are designed to be interactive and enjoyable. Since children in the UAE learn differently, we customize our teaching to match each child’s style. From the towering skyscrapers of Dubai to the cultural richness of Abu Dhabi, BrightChamps brings math to life, making it exciting and relevant across the UAE. Let’s make decimal conversions a fun part of every child’s math journey!
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