What is 1.73352 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.73352 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 1.73352 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.

1.73352 as a fraction equals 173352/100000 or 21669/12500

Now let's break down the steps for converting 1.73352 into a fraction.

Step 1:

First, we express 1.73352 as a fraction by placing it over 1:
1.73352/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.73352 x 100000/1 x 100000
  =  
173352/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 173352 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 173352 are: 1 2 3 4 6 8 12 24 31 62 93 124 186 233 248 372 466 699 744 932 1398 1864 2796 5592 7223 14446 21669 28892 43338 57784 86676 173352
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 173352 and 100000 is: 8

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 8 in this case.
173352 ÷ 8/100000 ÷ 8
  =  
21669/12500


Great Work! We've just determined that 1.73352 as a fraction equals 173352/100000 or 21669/12500 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 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 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 does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

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



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