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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Examples of converting decimals to fractions

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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 composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

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 proportion?

A proportion is an equation that states that two ratios are equal. For example, ¹/₂ = ²/₄ shows a proportional relationship.

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.

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%.

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.

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

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