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Last updated on May 26th, 2025

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3 7/8 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 mixed number consists of a whole number and a fraction combined. Here, 3 is the whole number, and 7/8 is the fraction. A fraction represents a part of the whole, with the numerator (number on the top) showing how many parts we have, and the denominator (number below) showing how many parts make up the whole. A decimal is a way to represent numbers that are not whole, 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, and those to the right represent the fractional part.

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

What is 3 7/8 as a decimal?

3 7/8 as a decimalAnswer

 

3 7/8 as a decimal can be written as 3.875. It is a terminating decimal, meaning it ends after a certain number of digits.

 

Explanation

 

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

 

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

 

Step 2: Divide 7 by 8 using long division.

 

Step 3: As 7 is smaller than 8, consider 70 instead (by adding a decimal point and a zero). Divide 70 by 8.

 

Step 4: 8 goes into 70 eight times, as 8 × 8 = 64. Write 8 in the quotient and subtract 64 from 70, leaving a remainder of 6.

 

Step 5: Bring down another 0 to make 60. Divide 60 by 8, which goes 7 times (8 × 7 = 56). Write 7 in the quotient.

 

Step 6: Subtract 56 from 60 to get a remainder of 4. Bring down a 0 to make 40. Divide 40 by 8, which goes 5 times (8 × 5 = 40).

 

Step 7: Subtract 40 from 40, leaving a remainder of 0, and the division stops here.

 

Thus, 7/8 as a decimal is 0.875. 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 whole number and a fraction combined into one "mixed" number.

 

  • 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.

 

  • 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 3 7/8 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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