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Last updated on May 26th, 2025

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71/200 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: numerator (number on the top) here, 71 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 200. 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.

71/200 as a Decimal for Filipino Students
Professor Greenline from BrightChamps

What is 71/200 as a decimal?

71/200 as a decimal

Answer

 

71/200 in decimals can be written as 0.355. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To get 71/200 in decimal, we will use the division method. Here as 71 is smaller than 200, we will take help of the decimal method which will give us 0.355. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because numerator (71) will be taken as dividend and denominator (200) will be taken as divisor.

 

Step 2: As 71 is smaller than 200, it can't be divided directly. Here we will take the help of decimals. We will add 0 to the dividend, which will make 71 as 710 and add a decimal point in the quotient place.

 

Step 3: Now that it is 710, we can divide it by 200. Let's see how many times 200 fits into 710.

 

Step 4: 200 goes into 710 three times, as 3 × 200 = 600. We will write 3 in the quotient place and subtract 600 from 710 gives 110.

 

Step 5: Bring down another 0 in the dividend place and make 110 as 1100, and then repeat the division process.

 

Step 6: 200 goes into 1100 five times, as 5 × 200 = 1000. We will write 5 in the quotient place and subtract 1000 from 1100 gives 100.

 

Step 7: Bring down another 0 in the dividend place and make 100 as 1000, then repeat the division process.

 

Step 8: 200 goes into 1000 five times, as 5 × 200 = 1000. We will write 5 in the quotient place and subtract 1000 from 1000 gives 0.

 

The division process ends with a remainder of 0, indicating that 71/200 as a decimal is 0.355.

Professor Greenline from BrightChamps

Important Glossaries for 71/200 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.
     
  • Terminating Decimal: A decimal that ends and does not repeat 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 71/200 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!
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