What is 1.50858 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.50858 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 1.50858 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.

1.50858 as a fraction equals 150858/100000 or 75429/50000

Now let's break down the steps for converting 1.50858 into a fraction.

Step 1:

First, we express 1.50858 as a fraction by placing it over 1:
1.50858/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.50858 x 100000/1 x 100000
  =  
150858/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 150858 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 150858 are: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 289 306 493 522 578 867 986 1479 1734 2601 2958 4437 5202 8381 8874 16762 25143 50286 75429 150858
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 150858 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.
150858 ÷ 2/100000 ÷ 2
  =  
75429/50000


Great Work! We've just determined that 1.50858 as a fraction equals 150858/100000 or 75429/50000 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 are simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 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.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.


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.

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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