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Last updated on May 26th, 2025

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46 2/3 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), which here is 2, indicating how many parts out of the whole, and the denominator (the number below), which here is 3, showing how many parts make 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.

46 2/3 as a Decimal for Vietnamese Students
Professor Greenline from BrightChamps

What is 46 2/3 as a decimal?

46 2/3 as a decimal

 

 

Answer

46 2/3 in decimals can be written as 46.66666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

To express 46 2/3 as a decimal, we will first convert the fractional part 2/3 into a decimal using division. Then, we'll add this to the whole number 46. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator of the fraction 2/3. Here, the numerator (2) will be taken as the dividend, and the denominator (3) will be the divisor.

 

Step 2: As 2 is smaller than 3, it can't be divided without a remainder. We will use the decimal method by adding 0 to the dividend, making it 20, and adding a decimal point in the quotient place.

 

Step 3: Now that it is 20, we can divide it by 3. Let's see how many times 3 fits into 20.

 

Step 4: 20 is not a multiple of 3, so we will find the nearest number, which is 3 × 6 = 18. We will write 6 in the quotient place and subtract 18 from 20, leaving 2.

 

Step 5: Bring down another 0 in the dividend place to make it 20 again, and repeat the division process. The division process continues as the remainder never becomes 0, resulting in a recurring decimal. Thus, 2/3 as a decimal is 0.6666..., and when added to the whole number 46.

 

The result is 46.6666…

Professor Greenline from BrightChamps

Important Glossaries for 46 2/3 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 Vietnam

At BrightChamps, we believe math questions are more than just figures—they’re doors to many opportunities! We strive to help children throughout Vietnam build essential skills, such as today’s focus on the 46 2/3 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-follow style. Whether your child is calculating the speed of a roller coaster at Suoi Tien Theme Park, tracking scores in a local football match, or managing their allowance for new gadgets, mastering math gives them the confidence they need in everyday life. Our engaging lessons make learning straightforward and fun. Because children in Vietnam have different learning preferences, we personalize our approach to suit each child. From the bustling streets of Ho Chi Minh City to the beautiful Ha Long Bay, BrightChamps brings math to life, making it relatable and exciting across Vietnam. Let’s make decimal conversions an enjoyable part of every child’s math journey!
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