What is 0.55488 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.55488 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 0.55488 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.

0.55488 as a fraction equals 55488/100000 or 1734/3125

Now let's break down the steps for converting 0.55488 into a fraction.

Step 1:

First, we express 0.55488 as a fraction by placing it over 1:
0.55488/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.55488 x 100000/1 x 100000
  =  
55488/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 55488 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 55488 are: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 289 408 544 578 816 867 1088 1156 1632 1734 2312 3264 3468 4624 6936 9248 13872 18496 27744 55488
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 55488 and 100000 is: 32

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 32 in this case.
55488 ÷ 32/100000 ÷ 32
  =  
1734/3125


Great Work! We've just determined that 0.55488 as a fraction equals 55488/100000 or 1734/3125 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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.

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

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.

Use Study.com for an entertaining video lesson approach.

For personalized 1-1 lessons check out Preply.com.

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



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