What is 1.6985 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.6985 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 1.6985 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.

1.6985 as a fraction equals 16985/10000 or 3397/2000

Now let's break down the steps for converting 1.6985 into a fraction.

Step 1:

First, we express 1.6985 as a fraction by placing it over 1:
1.6985/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.6985 x 10000/1 x 10000
  =  
16985/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 16985 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 16985 are: 1 5 43 79 215 395 3397 16985
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 16985 and 10000 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.
16985 ÷ 5/10000 ÷ 5
  =  
3397/2000


Great Work! We've just determined that 1.6985 as a fraction equals 16985/10000 or 3397/2000 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 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 rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

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.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

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 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

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.

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

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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