What is 1.3105 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.3105 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 1.3105 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.

1.3105 as a fraction equals 13105/10000 or 2621/2000

Now let's break down the steps for converting 1.3105 into a fraction.

Step 1:

First, we express 1.3105 as a fraction by placing it over 1:

1.3105/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

1.3105 x 10000/1 x 10000

13105/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 13105 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 13105 are: 1 5 2621 13105
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 13105 and 10000 is: 5

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 5 in this case.

13105 ÷ 5/10000 ÷ 5

2621/2000

Great Work! We've just determined that 1.3105 as a fraction equals 13105/10000 or 2621/2000 in its simplest form.

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Examples of converting decimals to fractions

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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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What are mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a proportion?

A proportion is an equation that states that two ratios are equal. For example, ¹/₂ = ²/₄ shows a proportional relationship.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating 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 self-study courses for Algebra. We recommend Purple Math.

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