What is 1.50706 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.50706 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 1.50706 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.

1.50706 as a fraction equals 150706/100000 or 75353/50000

Now let's break down the steps for converting 1.50706 into a fraction.

Step 1:

First, we express 1.50706 as a fraction by placing it over 1:

1.50706/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

1.50706 x 100000/1 x 100000

150706/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 150706 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 150706 are: 1 2 75353 150706
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 150706 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.

150706 ÷ 2/100000 ÷ 2

75353/50000

Great Work! We've just determined that 1.50706 as a fraction equals 150706/100000 or 75353/50000 in its simplest form.

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Examples of converting decimals to fractions

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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 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example ³/₂

What is an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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 percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.

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.

Desmos.com has a focus on equation, functions and visual graphs.

Math Planet has customized math courses for high school students.