BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon131 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

35/9 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole and consists of two parts: numerator (the number on top), here 35, which indicates how many parts we have, and denominator (the number below), here 9, which shows how many parts make up 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.

35/9 as a Decimal for UK Students
Professor Greenline from BrightChamps

What is 35/9 as a decimal?

35/9 as a decimal

 

Answer

 

35/9 in decimal form can be written as 3.8888… It is a recurring decimal, indicating that the digit 8 will repeat infinitely.

 

Explanation

 

To convert 35/9 to a decimal, we will use the division method. Since 35 is larger than 9, we can divide directly. Let's break down the process step by step:

 

Step 1: Identify the numerator and the denominator. The numerator (35) will be the dividend, and the denominator (9) will be the divisor.

 

Step 2: Divide 35 by 9. The integer part of the quotient is 3 because 9 goes into 35 three times (3 x 9 = 27).

 

Step 3: Subtract 27 from 35, which leaves a remainder of 8.

 

Step 4: Bring down a 0 to make it 80 and divide by 9. The process continues because we never get a remainder of 0.

 

Step 5: 80 divided by 9 gives 8. Subtract 72 (9 x 8) from 80 to get a remainder of 8. Bring down another 0 to repeat the division. The division process continues, repeating the digit 8 infinitely. This is a recurring decimal.

 

The answer for 35/9 as a decimal is 3.8888…

Professor Greenline from BrightChamps

Important Glossaries for 35/9 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 the same digit(s) infinitely.
Professor Greenline from BrightChamps

About BrightChamps in United Kingdom

At BrightChamps, we see math questions as more than just sums—they’re gateways to endless opportunities! Our mission is to help children throughout the United Kingdom develop essential skills, focusing today on the 35/9 as a Decimal with special attention to decimal conversions—in a lively, enjoyable, and easy-to-understand way. Whether your child is working out the speed of a roller coaster at Alton Towers, following scores at a local football match, or managing their pocket money to buy the latest gadgets, mastering math empowers them to face daily challenges confidently. Our interactive sessions ensure learning is both simple and enjoyable. Because every child in the UK has their own learning style, we tailor our approach to fit them perfectly. From the bustling streets of London to the scenic coasts of Cornwall, BrightChamps makes math relatable and fun throughout the UK. Let’s make decimal conversions a delightful part of your 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