What is 0.07902 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.07902 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 0.07902 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.

0.07902 as a fraction equals 7902/100000 or 3951/50000

Now let's break down the steps for converting 0.07902 into a fraction.

Step 1:

First, we express 0.07902 as a fraction by placing it over 1:

0.07902/1

Step 2:

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

0.07902 x 100000/1 x 100000

7902/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7902 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 7902 are: 1 2 3 6 9 18 439 878 1317 2634 3951 7902
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 7902 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.

7902 ÷ 2/100000 ÷ 2

3951/50000

Great Work! We've just determined that 0.07902 as a fraction equals 7902/100000 or 3951/50000 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.

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 mixed numbers?

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

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 are imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a ¹/₄ of an inch is described as an imperial fraction.

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 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

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