What is 1.03752 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.03752 into a fraction. We will start by understanding how a decimal represents the fractional part of a number, then break down the steps to rewrite 1.03752 as a fraction. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the results are in the simplest form.

By the end of this guide, you should have a good understanding of decimal to fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.

1.03752 as a fraction equals 103752/100000 or 12969/12500

Now let's break down the steps for converting 1.03752 into a fraction.

Step 1:

First, we express 1.03752 as a fraction by placing it over 1:
1.03752/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.03752 x 100000/1 x 100000
  =  
103752/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 103752 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 103752 are: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 131 132 198 262 264 393 396 524 786 792 1048 1179 1441 1572 2358 2882 3144 4323 4716 5764 8646 9432 11528 12969 17292 25938 34584 51876 103752
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 103752 and 100000 is: 8

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which we calculated in the previous step. The GCF value is 8 in this case.
103752 ÷ 8/100000 ÷ 8
  =  
12969/12500


Great Work! We've just determined that 1.03752 as a fraction equals 103752/100000 or 12969/12500 in its simplest form.

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Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What are imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.


Educational math links

There are numerous online resources available (some free and some paid) for learning math including decimals and fractions. These range from interactive games to in-depth courses and lessons. We recommend these websites as a valuable resource for students of all skill levels.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

For a structured learning approach with video lessons try the Khan Academy.

For a self-study courses for Algebra. We recommend Purple Math.



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