What is 1.32825 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.32825 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 1.32825 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.

1.32825 as a fraction equals 132825/100000 or 5313/4000

Now let's break down the steps for converting 1.32825 into a fraction.

Step 1:

First, we express 1.32825 as a fraction by placing it over 1:

1.32825/1

Step 2:

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

1.32825 x 100000/1 x 100000

132825/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 132825 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 132825 are: 1 3 5 7 11 15 21 23 25 33 35 55 69 75 77 105 115 161 165 175 231 253 275 345 385 483 525 575 759 805 825 1155 1265 1725 1771 1925 2415 3795 4025 5313 5775 6325 8855 12075 18975 26565 44275 132825
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 132825 and 100000 is: 25

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 25 in this case.

132825 ÷ 25/100000 ÷ 25

5313/4000

Great Work! We've just determined that 1.32825 as a fraction equals 132825/100000 or 5313/4000 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 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 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 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 percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents ¹/₂.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.

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 fun game based learning try Prodigy Math.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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