What is 0.49048 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.49048 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 0.49048 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.

0.49048 as a fraction equals 49048/100000 or 6131/12500

Now let's break down the steps for converting 0.49048 into a fraction.

Step 1:

First, we express 0.49048 as a fraction by placing it over 1:

0.49048/1

Step 2:

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

0.49048 x 100000/1 x 100000

49048/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 49048 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 49048 are: 1 2 4 8 6131 12262 24524 49048
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 49048 and 100000 is: 8

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 8 in this case.

49048 ÷ 8/100000 ÷ 8

6131/12500

Great Work! We've just determined that 0.49048 as a fraction equals 49048/100000 or 6131/12500 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 are proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example ²/₃

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents ¹/₂.

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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = ⁷⁵/₁₀₀ = ³/₄ Reference our decimal to fraction converter page for a detailed breakdown..

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 fun game based learning try Prodigy Math.

Math Planet has customized math courses for high school students.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.