What is 0.10134 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.10134 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 0.10134 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.

0.10134 as a fraction equals 10134/100000 or 5067/50000

Now let's break down the steps for converting 0.10134 into a fraction.

Step 1:

First, we express 0.10134 as a fraction by placing it over 1:

0.10134/1

Step 2:

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

0.10134 x 100000/1 x 100000

10134/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 10134 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 10134 are: 1 2 3 6 9 18 563 1126 1689 3378 5067 10134
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 10134 and 100000 is: 2

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 2 in this case.

10134 ÷ 2/100000 ÷ 2

5067/50000

Great Work! We've just determined that 0.10134 as a fraction equals 10134/100000 or 5067/50000 in its simplest form.

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Frequently asked math questions, including decimals and fractions

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What are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

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 is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

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 decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in ²/₄, the fraction bar means 2 divided by 4.

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.

Use Study.com for an entertaining video lesson approach.

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

For fun game based learning try Prodigy Math.