What is 1.10352 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.10352 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 1.10352 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.

1.10352 as a fraction equals 110352/100000 or 6897/6250

Now let's break down the steps for converting 1.10352 into a fraction.

Step 1:

First, we express 1.10352 as a fraction by placing it over 1:
1.10352/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.10352 x 100000/1 x 100000
  =  
110352/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 110352 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 110352 are: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1452 1672 1936 2299 2508 2904 3344 4598 5016 5808 6897 9196 10032 13794 18392 27588 36784 55176 110352
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 110352 and 100000 is: 16

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 16 in this case.
110352 ÷ 16/100000 ÷ 16
  =  
6897/6250


Great Work! We've just determined that 1.10352 as a fraction equals 110352/100000 or 6897/6250 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.

What are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

Math Planet has customized math courses for high school students.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



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