What is 1.70425 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.70425 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 1.70425 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.

1.70425 as a fraction equals 170425/100000 or 6817/4000

Now let's break down the steps for converting 1.70425 into a fraction.

Step 1:

First, we express 1.70425 as a fraction by placing it over 1:
1.70425/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.70425 x 100000/1 x 100000
  =  
170425/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 170425 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 170425 are: 1 5 17 25 85 401 425 2005 6817 10025 34085 170425
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 170425 and 100000 is: 25

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 25 in this case.
170425 ÷ 25/100000 ÷ 25
  =  
6817/4000


Great Work! We've just determined that 1.70425 as a fraction equals 170425/100000 or 6817/4000 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 mixed numbers?

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

What is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

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 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 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%.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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.

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

For fun game based learning try Prodigy Math.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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