What is 0.48654 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.48654 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 0.48654 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.

0.48654 as a fraction equals 48654/100000 or 24327/50000

Now let's break down the steps for converting 0.48654 into a fraction.

Step 1:

First, we express 0.48654 as a fraction by placing it over 1:
0.48654/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.48654 x 100000/1 x 100000
  =  
48654/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 48654 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 48654 are: 1 2 3 6 9 17 18 27 34 51 53 54 102 106 153 159 306 318 459 477 901 918 954 1431 1802 2703 2862 5406 8109 16218 24327 48654
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 48654 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.
48654 ÷ 2/100000 ÷ 2
  =  
24327/50000


Great Work! We've just determined that 0.48654 as a fraction equals 48654/100000 or 24327/50000 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.

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

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

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



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