What is 0.98438 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.98438 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 0.98438 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.

0.98438 as a fraction equals 98438/100000 or 49219/50000

Now let's break down the steps for converting 0.98438 into a fraction.

Step 1:

First, we express 0.98438 as a fraction by placing it over 1:
0.98438/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.98438 x 100000/1 x 100000
  =  
98438/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 98438 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 98438 are: 1 2 83 166 593 1186 49219 98438
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 98438 and 100000 is: 2

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 2 in this case.
98438 ÷ 2/100000 ÷ 2
  =  
49219/50000


Great Work! We've just determined that 0.98438 as a fraction equals 98438/100000 or 49219/50000 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 is a proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

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.


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.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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