What is 0.003600 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.003600 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 0.003600 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.

0.003600 as a fraction equals 3600/1000000 or 9/2500

Now let's break down the steps for converting 0.003600 into a fraction.

Step 1:

First, we express 0.003600 as a fraction by placing it over 1:

0.003600/1

Step 2:

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

0.003600 x 1000000/1 x 1000000

3600/1000000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 3600 and 1000000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 3600 are: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600
The factors of 1000000 are: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000
The GCF of 3600 and 1000000 is: 400

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 400 in this case.

3600 ÷ 400/1000000 ÷ 400

9/2500

Great Work! We've just determined that 0.003600 as a fraction equals 3600/1000000 or 9/2500 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 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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.

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.

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

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.