BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon136 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

40/3 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 from the whole. It has two parts, numerator (number on the top) here, 40 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 that to the right represents the fractional part.

40/3 as a Decimal for Filipino Students
Professor Greenline from BrightChamps

What is 40/3 as a decimal?

40/3 as a decimal

Answer

 

40/3 in decimals can be written as 13.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

 

Explanation

 

To get 40/3 in decimal, we will use the division method. Here, as 40 is larger than 3, we will proceed with the division which will give us 13.3333. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (40) will be taken as the dividend and the denominator (3) will be taken as the divisor.

 

Step 2: Divide 40 by 3. 3 goes into 40, 13 times as 3 × 13 = 39. We will write 13 in the quotient place.

 

Step 3: Subtract 39 from 40, which gives 1.

 

Step 4: Bring down a 0 to make it 10, and continue the division process.

 

Step 5: 3 goes into 10, 3 times as 3 × 3 = 9. Write 3 in the quotient place and subtract 9 from 10 gives 1.

 

Step 6: Repeat the division process by bringing down another 0, making it 10 again. The process continues and does not terminate, hence it is a recurring decimal.

 

The answer for 40/3 as a decimal will be 13.3333……

Professor Greenline from BrightChamps

Important Glossaries for 40/3 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 that repeats a digit or a sequence of digits infinitely.
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 40/3 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!
INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom