What is 0.07085 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.07085 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 0.07085 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.

0.07085 as a fraction equals 7085/100000 or 1417/20000

Now let's break down the steps for converting 0.07085 into a fraction.

Step 1:

First, we express 0.07085 as a fraction by placing it over 1:
0.07085/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.07085 x 100000/1 x 100000
  =  
7085/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7085 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 7085 are: 1 5 13 65 109 545 1417 7085
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 7085 and 100000 is: 5

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 5 in this case.
7085 ÷ 5/100000 ÷ 5
  =  
1417/20000


Great Work! We've just determined that 0.07085 as a fraction equals 7085/100000 or 1417/20000 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 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 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 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 are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

What is an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

For personalized 1-1 lessons check out Preply.com.

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