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Last updated on May 26th, 2025

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-73 2/3 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 fraction represents a part of the whole. It has two parts, numerator (number on the top) here, 2 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 3. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

-73 2/3 as a Decimal for Singaporean Students
Professor Greenline from BrightChamps

What is -73 2/3 as a decimal?

-73 2/3 as a decimal

 

Answer

 

-73 2/3 in decimals can be written as -73.66666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

 

Explanation

 

To get -73 2/3 in decimal, we will convert the fractional part to a decimal using the division method. Let's see the step-by-step breakdown of the process:

 

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

 

Step 2: As 2 is smaller than 3, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20 and add 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 makes 20.

 

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

 

Step 5: Bring down another 0 in the dividend place to make 2 as 20 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

 

The answer for -73 2/3 as a decimal will be -73.6666……

Professor Greenline from BrightChamps

Important Glossaries for -73 2/3 as a decimal

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

 

  • Recurring Decimal: A decimal number that has digits that repeat forever in a pattern.

 

  • Dividend: The number that is being divided in a division operation.

 

  • Divisor: The number by which another number is to be divided.

 

  • Whole Number: An integer without fractions; an entire or complete number.

 

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 -73 2/3 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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