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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 UAE 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 United Arab Emirates

At BrightChamps, math questions are much more than numbers—they open doors to countless opportunities! We aim to help children across the UAE develop essential skills like today’s focus on the 3 7/8 as a Decimal, with a special emphasis on decimal conversions—in a way that’s fun, lively, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Dubai Parks and Resorts, keeping track of scores at a local football match, or managing their allowance for the latest gadgets, solid math skills give them the confidence to tackle everyday situations. Our lessons are designed to be interactive and enjoyable. Since children in the UAE learn differently, we customize our teaching to match each child’s style. From the towering skyscrapers of Dubai to the cultural richness of Abu Dhabi, BrightChamps brings math to life, making it exciting and relevant across the UAE. Let’s make decimal conversions a fun part of every child’s math journey!
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