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Last updated on May 26th, 2025

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7 1/2 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, 7 1/2 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole. 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.

7 1/2 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 7 1/2 as a decimal?

7 1/2 as a decimalAnswer

 

7 1/2 in decimals can be written as 7.5. It is a terminating decimal.

 

Explanation

 

To convert 7 1/2 to a decimal, we will first express the mixed number as a fraction and then divide.

 

Step 1: Convert 7 1/2 into an improper fraction. Multiply the whole number 7 by the denominator 2 and add the numerator 1, giving us (7 * 2) + 1 = 15, so the fraction is 15/2.

 

Step 2: Divide the numerator by the denominator. Divide 15 by 2. Step 3: 15 divided by 2 equals 7.5, with no remainder.

 

Thus, 7 1/2 as a decimal is 7.5.

Professor Greenline from BrightChamps

Important Glossaries for 7 1/2 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.
     
  • Mixed Number: A whole number and a fraction combined into one "mixed" number.
     
  • Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
     
  • 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 7 1/2 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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