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Last updated on May 26th, 2025

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11/40 as a Decimal

Professor Greenline Explaining Math Concepts

This is a simple exercise in decimal conversion. To understand this, we need to grasp the concepts of fractions and decimals. A fraction represents a part of a whole and consists of two parts: the numerator (the top number) and the denominator (the bottom number). In the fraction 11/40, the numerator 11 indicates how many parts are considered, while the denominator 40 shows how many parts make up the whole. A decimal is a way to represent numbers that are 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 part, and those to the right represent the fractional part.

11/40 as a Decimal for Saudi Students
Professor Greenline from BrightChamps

What is 11/40 as a decimal?

11/40 as a decimal

 

Answer

 

11/40 as a decimal is written as 0.275. It is a terminating decimal, meaning the digits do not repeat infinitely.

 

Explanation

 

To convert 11/40 into a decimal, we use the division method.

 

Let's break down the process step by step:

 

Step 1: Identify the numerator and denominator. Here, the numerator (11) is the dividend, and the denominator (40) is the divisor.

 

Step 2: Divide 11 by 40. Since 11 is smaller than 40, the division gives us a result less than 1, so we place a 0 in the whole number part of the quotient.

 

Step 3: Add a decimal point and a 0 to the dividend, making it 110.

 

Step 4: Divide 110 by 40, which goes 2 times (40 × 2 = 80). Subtract 80 from 110 to get 30.

 

Step 5: Bring down another 0 to make it 300. Divide 300 by 40, which goes 7 times (40 × 7 = 280). Subtract 280 from 300 to get 20.

 

Step 6: Bring down another 0 to make it 200. Divide 200 by 40, which goes 5 times (40 × 5 = 200). Subtract 200 from 200 to get 0, completing the division.

 

The decimal representation of 11/40 is 0.275, a terminating decimal.

Professor Greenline from BrightChamps

Important Glossaries for 11/40 as a decimal

  • Fraction: A numerical expression representing a part of a whole, consisting of a numerator and a denominator.
     
  • Decimal: A number expressed in the base 10 system, using a decimal point to separate the whole number from the fractional part.
     
  • Numerator: The top part of a fraction, indicating how many parts of the whole are considered.
     
  • Denominator: The bottom part of a fraction, representing how many equal parts the whole is divided into.
     
  • Terminating Decimal: A decimal that has a finite number of digits after the decimal point and does not repeat.
Professor Greenline from BrightChamps

About BrightChamps in Saudi Arabia

At BrightChamps, math questions are more than just sums—they unlock a world of possibilities! Our mission is to guide children across Saudi Arabia in mastering vital skills, including today’s focus on the 11/40 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster moves at Riyadh’s Al Hokair Land, tracking scores at a local football match, or managing their allowance for gadgets, strong math skills boost their confidence for everyday challenges. Our interactive lessons are both fun and simple to follow. Since children in Saudi Arabia learn in many ways, we tailor our teaching to each child’s unique style. From the bustling streets of Riyadh to the historic sites of Jeddah, BrightChamps makes math come alive, making it relatable and exciting throughout Saudi Arabia. Let’s make decimal conversions a fun part of every child’s math adventure!
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