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Last updated on May 26th, 2025

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-3 5/16 as a Decimal

Professor Greenline Explaining Math Concepts

This is a straightforward question about converting fractions to decimals. To do so, we need to understand both fractions and decimals. A fraction represents a portion of a whole and consists of two parts: the numerator (the top number), which indicates how many parts we have, and the denominator (the bottom number), which indicates how many parts make up the whole. A decimal is a way to express non-whole numbers 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 number, while those to the right represent the fractional part.

-3 5/16 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is -3 5/16 as a decimal?

-3 5/16 as a decimalAnswer

 

-3 5/16 in decimal form can be written as -3.3125. This is a terminating decimal, meaning it ends and does not repeat infinitely.

 

Explanation

 

To convert -3 5/16 to a decimal, follow these steps:

 

Step 1: Convert the mixed number -3 5/16 into an improper fraction. The mixed number consists of a whole number part (-3) and a fractional part (5/16).

 

Step 2: The improper fraction is calculated by multiplying the whole number (-3) by the denominator (16) and adding the numerator (5). This gives us (-3 × 16) + 5 = -48 + 5 = -43. The improper fraction is -43/16.

 

Step 3: Divide the numerator (-43) by the denominator (16) to get the decimal equivalent. Step 4: Perform the division: -43 ÷ 16 = -2.6875.

 

Therefore, -3 5/16 as a decimal is -3.3125.

Professor Greenline from BrightChamps

Important Glossaries for -3 5/16 as a decimal

  • Mixed Number: A number made up of a whole number and a fraction.

 

  • 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.

 

  • 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.
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 -3 5/16 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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