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Last updated on March 3rd, 2025

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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 of the whole. It has two parts: the numerator (number on the top), here, 4, which represents how many parts out of the whole. 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 those to the right represent the fractional part.

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

What is 4/7 as a decimal?

4/7 as a decimal

 

Answer

 

4/7 in decimals can be written as approximately 0.571428. It is a repeating decimal, showing that the digits will repeat in a pattern infinitely.

 

Explanation

 

To get 4/7 in decimal, we will use the division method. Since 4 is smaller than 7, we will use the decimal method, which will give us 0.571428. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (7) will be taken as the divisor.

 

Step 2: As 4 is smaller than 7, it can't be divided directly; here we will take the help of decimals. We will add 0 to the dividend, which will make 4 as 40 and add a decimal point in the quotient place.

 

Step 3: Now that it is 40, we can divide it by 7. Let's see how many times 7 makes 40.

 

Step 4: 40 is not a multiple of 7, so we will look for the nearest number that is 7 × 5 = 35. We will write 5 in the quotient place and subtract 35 from 40 to get 5.

 

Step 5: Bring down another 0 in the dividend place, making 5 as 50, and then repeat the division process. The division process continues, and we get a repeating cycle, which is called a repeating decimal.

 

The answer for 4/7 as a decimal will be 0.571428... with the sequence "571428" repeating indefinitely.

Professor Greenline from BrightChamps

Important Glossaries for 4/7 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.

 

  • Repeating Decimal: A decimal in which a sequence of digits repeats indefinitely.
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 4/7 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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