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Last updated on May 26th, 2025

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47/16 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, 47 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. 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 fractional part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

47/16 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 47/16 as a decimal?

47/16 as a decimal

Answer

 

47/16 in decimals can be written as 2.9375. It is a terminating decimal, meaning the division process ends after a certain point.

 

Explanation

 

To get 47/16 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (47) will be taken as the dividend and the denominator (16) will be taken as the divisor.

 

Step 2: Divide 47 by 16. The division gives 2 as the whole number since 16 × 2 = 32, and subtract 32 from 47, giving a remainder of 15.

 

Step 3: Bring down a 0 to make 150. Divide 150 by 16, which gives 9 (since 16 × 9 = 144). Subtract 144 from 150, leaving a remainder of 6.

 

Step 4: Bring down another 0 to make 60. Divide 60 by 16, which gives 3 (since 16 × 3 = 48). Subtract 48 from 60, leaving a remainder of 12.

 

Step 5: Bring down another 0 to make 120. Divide 120 by 16, which gives 7 (since 16 × 7 = 112). Subtract 112 from 120, leaving a remainder of 8.

 

Step 6: Bring down another 0 to make 80. Divide 80 by 16, which gives 5 (since 16 × 5 = 80), and this time, the remainder is 0.

 

The division process ends here, so the answer for 47/16 as a decimal will be 2.9375.

Professor Greenline from BrightChamps

Important Glossaries for 47/16 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 Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 47/16 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!
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