What is 1.70204 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.70204 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 1.70204 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.

1.70204 as a fraction equals 170204/100000 or 42551/25000

Now let's break down the steps for converting 1.70204 into a fraction.

Step 1:

First, we express 1.70204 as a fraction by placing it over 1:
1.70204/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.70204 x 100000/1 x 100000
  =  
170204/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 170204 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 170204 are: 1 2 4 17 34 68 2503 5006 10012 42551 85102 170204
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 170204 and 100000 is: 4

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 4 in this case.
170204 ÷ 4/100000 ÷ 4
  =  
42551/25000


Great Work! We've just determined that 1.70204 as a fraction equals 170204/100000 or 42551/25000 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 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.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..


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.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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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