What is 2.45556 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.45556 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 2.45556 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.

2.45556 as a fraction equals 245556/100000 or 61389/25000

Now let's break down the steps for converting 2.45556 into a fraction.

Step 1:

First, we express 2.45556 as a fraction by placing it over 1:

2.45556/1

Step 2:

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

2.45556 x 100000/1 x 100000

245556/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 245556 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 245556 are: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 359 684 718 1077 1436 2154 3231 4308 6462 6821 12924 13642 20463 27284 40926 61389 81852 122778 245556
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 245556 and 100000 is: 4

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 4 in this case.

245556 ÷ 4/100000 ÷ 4

61389/25000

Great Work! We've just determined that 2.45556 as a fraction equals 245556/100000 or 61389/25000 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 mixed numbers?

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

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 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 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 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 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.

Desmos.com has a focus on equation, functions and visual graphs.

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

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