What is 1.73798 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.73798 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 1.73798 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.

1.73798 as a fraction equals 173798/100000 or 86899/50000

Now let's break down the steps for converting 1.73798 into a fraction.

Step 1:

First, we express 1.73798 as a fraction by placing it over 1:

1.73798/1

Step 2:

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

1.73798 x 100000/1 x 100000

173798/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 173798 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 173798 are: 1 2 67 134 1297 2594 86899 173798
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 173798 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.

173798 ÷ 2/100000 ÷ 2

86899/50000

Great Work! We've just determined that 1.73798 as a fraction equals 173798/100000 or 86899/50000 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.

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

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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 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 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 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..

Educational math links

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

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