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Last updated on May 26th, 2025

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1 13/16 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 of a whole. It has two parts, the numerator (number on the top), here 13 represents how many parts out of the whole. The denominator (number below) shows how many parts make up the whole, here it is 16. A decimal is a way to represent a number that is not whole, using a (.) or a decimal 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.

1 13/16 as a Decimal for Filipino Students
Professor Greenline from BrightChamps

What is 1 13/16 as a decimal?

1 13/16 as a decimal

Answer

 

1 13/16 in decimals can be written as 1.8125. It is a terminating decimal, showing it will not repeat any digit infinitely.

 

Explanation

 

To convert 1 13/16 into a decimal, we will first convert the fractional part separately and then add the whole number.

 

Step 1: Identify the whole number, numerator, and denominator. Here, the whole number is 1, the numerator is 13, and the denominator is 16.

 

Step 2: Divide the numerator by the denominator to convert the fraction into a decimal. Divide 13 by 16.

 

Step 3: Since 13 is less than 16, we add a decimal point and zero to make it 130. Divide 130 by 16.

 

Step 4: 16 goes into 130 eight times (16 × 8 = 128), and the remainder is 2.

 

Step 5: Bring down another 0 to make it 20. Divide 20 by 16, which goes once (16 × 1 = 16), and the remainder is 4.

 

Step 6: Bring down another 0 to make it 40. Divide 40 by 16, which goes twice (16 × 2 = 32), and the remainder is 8.

 

Step 7: Bring down another 0 to make it 80. Divide 80 by 16, which goes five times (16 × 5 = 80), and the remainder is 0. The decimal part of 13/16 is 0.8125.

 

Add this to the whole number 1 to get 1.8125.

Professor Greenline from BrightChamps

Important Glossaries for 1 13/16 as a decimal

  • Mixed Number: A whole number combined with a fraction, such as 1 13/16.
     
  • Fraction: A numerical quantity representing a part of a whole.
     
  • Decimal: A number that 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.
     
  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.
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 1 13/16 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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