What is 0.67872 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.67872 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 0.67872 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.

0.67872 as a fraction equals 67872/100000 or 2121/3125

Now let's break down the steps for converting 0.67872 into a fraction.

Step 1:

First, we express 0.67872 as a fraction by placing it over 1:

0.67872/1

Step 2:

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

0.67872 x 100000/1 x 100000

67872/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 67872 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 67872 are: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 8484 9696 11312 16968 22624 33936 67872
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 67872 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.

67872 ÷ 32/100000 ÷ 32

2121/3125

Great Work! We've just determined that 0.67872 as a fraction equals 67872/100000 or 2121/3125 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 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 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 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%.

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.

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

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