BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon111 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

1 4/7 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, 1 represents the whole part and 4 which represents how many parts out of the whole 7. The denominator (number below) shows how many parts make the whole, here it is 7. 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.

1 4/7 as a Decimal for UAE Students
Professor Greenline from BrightChamps

What is 1 4/7 as a decimal?

1 4/7 as a decimal

 

Answer

 

1 4/7 in decimals can be written as 1.5714285….. It is a non-terminating decimal, showing that the digits after the decimal point repeat in a sequence.

 

Explanation

 

To convert 1 4/7 to a decimal, we will use division for the fractional part. The whole number 1 remains as is. Here’s the step-by-step breakdown of the process:

 

Step 1: Identify the fractional part, which is 4/7.

 

Step 2: Divide the numerator (4) by the denominator (7) to convert the fraction to a decimal.

 

Step 3: As 4 is smaller than 7, we need to use decimal division. Place a decimal point in the quotient and add zeros to the dividend.

 

Step 4: Divide 4 by 7, which gives approximately 0.5714285, a repeating sequence.

 

Step 5: Combine the whole number with the decimal part to get 1.5714285. The process of division shows that 4/7 is 0.5714285 repeating, and the final answer for 1 4/7 as a decimal is 1.5714285.

Professor Greenline from BrightChamps

Important Glossaries for 1 4/7 as a decimal

  • Mixed Number: A combination of a whole number and a fraction.
     
  • 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.
     
  • Non-terminating Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.
Professor Greenline from BrightChamps

About BrightChamps in United Arab Emirates

At BrightChamps, math questions are much more than numbers—they open doors to countless opportunities! We aim to help children across the UAE develop essential skills like today’s focus on the 1 4/7 as a Decimal, with a special emphasis on decimal conversions—in a way that’s fun, lively, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Dubai Parks and Resorts, keeping track of scores at a local football match, or managing their allowance for the latest gadgets, solid math skills give them the confidence to tackle everyday situations. Our lessons are designed to be interactive and enjoyable. Since children in the UAE learn differently, we customize our teaching to match each child’s style. From the towering skyscrapers of Dubai to the cultural richness of Abu Dhabi, BrightChamps brings math to life, making it exciting and relevant across the UAE. 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