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Last updated on May 26th, 2025

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-3 7/8 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn about mixed numbers and decimals. A mixed number consists of a whole number and a fraction. Here, -3 is the whole number, and 7/8 is the fraction, representing 7 parts of 8 that make up the whole. A decimal is a way to represent numbers that are not whole, using a (.) or decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

-3 7/8 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is -3 7/8 as a decimal?

-3 7/8 as a decimal

 

 

Answer

-3 7/8 in decimals can be written as -3.875. This is a terminating decimal, which means it ends and does not repeat infinitely.

 

Explanation

To convert -3 7/8 into decimal, we first convert the fraction 7/8 into a decimal. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator (7) and the denominator (8). The numerator will be taken as the dividend, and the denominator will be taken as the divisor.

 

Step 2: Divide 7 by 8 using long division. Since 7 is less than 8, we add a decimal point and a zero to make it 70.

 

Step 3: 8 goes into 70 eight times because 8×8=64. Write 8 in the quotient place.

 

Step 4: Subtract 64 from 70 to get 6. Bring down another 0 to make it 60.

 

Step 5: 8 goes into 60 seven times because 8×7=56. Write 7 in the quotient place.

 

Step 6: Subtract 56 from 60 to get 4. Bring down another 0 to make it 40.

 

Step 7: 8 goes into 40 five times because 8×5=40. Write 5 in the quotient place. There is no remainder. Therefore, 7/8 as a decimal is 0.875.

 

Finally, combine it with the whole number -3 to get -3.875.

Professor Greenline from BrightChamps

Important Glossaries for -3 7/8 as a decimal

  • Mixed Number: A number consisting of an integer and a proper fraction.

 

  • Fraction: A numerical quantity that represents 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.

 

  • Terminating Decimal: A decimal number that ends and does not repeat infinitely.

 

  • Long Division: A method used to divide two numbers, providing the quotient and remainder.
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 7/8 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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