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Last updated on May 26th, 2025

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1 5/8 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 fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. 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 that to the right represents the fractional part.

1 5/8 as a Decimal for Saudi Students
Professor Greenline from BrightChamps

What is 1 5/8 as a decimal?

1 5/8 as a decimalAnswer

 

1 5/8 in decimals can be written as 1.625. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To get 1 5/8 in decimal, we will first convert the mixed number to an improper fraction and then perform division.

 

Step 1: Convert the mixed number to an improper fraction. Multiply the whole number (1) by the denominator (8) and add the numerator (5). This gives us \(1 \times 8 + 5 = 13\). So, 1 5/8 is equivalent to 13/8.

 

Step 2: Identify the numerator and denominator because numerator (13) will be taken as dividend and denominator (8) will be taken as divisor.

 

Step 3: Divide 13 by 8. 8 goes into 13 once, giving us a quotient of 1 and a remainder of 5.

 

Step 4: Bring down a 0 to make it 50 and divide by 8. 8 goes into 50 six times, giving us a quotient of 6 and a remainder of 2.

 

Step 5: Bring down another 0 to make it 20 and divide by 8. 8 goes into 20 twice, giving us a quotient of 2 and a remainder of 4.

 

Step 6: Bring down another 0 to make it 40 and divide by 8. 8 goes into 40 five times, giving us a quotient of 5 and a remainder of 0. Since there is no remainder, the division ends here.

 

The answer for 1 5/8 as a decimal is 1.625.

Professor Greenline from BrightChamps

Important Glossaries for 1 5/8 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 Saudi Arabia

At BrightChamps, math questions are more than just sums—they unlock a world of possibilities! Our mission is to guide children across Saudi Arabia in mastering vital skills, including today’s focus on the 1 5/8 as a Decimal with a special focus on decimal conversions—in a lively, enjoyable, and easy-to-understand manner. Whether your child is figuring out how fast a roller coaster moves at Riyadh’s Al Hokair Land, tracking scores at a local football match, or managing their allowance for gadgets, strong math skills boost their confidence for everyday challenges. Our interactive lessons are both fun and simple to follow. Since children in Saudi Arabia learn in many ways, we tailor our teaching to each child’s unique style. From the bustling streets of Riyadh to the historic sites of Jeddah, BrightChamps makes math come alive, making it relatable and exciting throughout Saudi Arabia. Let’s make decimal conversions a fun part of every child’s math adventure!
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