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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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 mixed numbers?

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

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

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 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 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.

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.

Math Planet has customized math courses for high school students.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

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