What is 0.98175 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.98175 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 0.98175 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.

0.98175 as a fraction equals 98175/100000 or 3927/4000

Now let's break down the steps for converting 0.98175 into a fraction.

Step 1:

First, we express 0.98175 as a fraction by placing it over 1:
0.98175/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.98175 x 100000/1 x 100000
  =  
98175/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 98175 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 98175 are: 1 3 5 7 11 15 17 21 25 33 35 51 55 75 77 85 105 119 165 175 187 231 255 275 357 385 425 525 561 595 825 935 1155 1275 1309 1785 1925 2805 2975 3927 4675 5775 6545 8925 14025 19635 32725 98175
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 98175 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.
98175 ÷ 25/100000 ÷ 25
  =  
3927/4000


Great Work! We've just determined that 0.98175 as a fraction equals 98175/100000 or 3927/4000 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 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 is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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.

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..

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.

For a structured learning approach with video lessons try the Khan Academy.

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

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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