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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 US 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 United States

At BrightChamps, we believe math questions are more than just problems—they’re keys that unlock a world of possibilities! Our goal is to support children across the United States in mastering crucial skills, such as today’s focus on the 46 2/3 as a Decimal with an emphasis on understanding decimal conversions—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, having solid math skills builds their confidence for everyday life. Our hands-on lessons make learning approachable and enjoyable. Since children in the USA learn in unique ways, we customize our teaching to suit each child’s learning style. From the lively streets of New York to the sunny coasts of California, BrightChamps brings math to life, making it interesting and relevant across America. Let’s make decimal conversions an exciting part of every child’s math adventure!
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