What is 3.70225 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.70225 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 3.70225 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.

3.70225 as a fraction equals 370225/100000 or 14809/4000

Now let's break down the steps for converting 3.70225 into a fraction.

Step 1:

First, we express 3.70225 as a fraction by placing it over 1:
3.70225/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.70225 x 100000/1 x 100000
  =  
370225/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 370225 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 370225 are: 1 5 25 59 251 295 1255 1475 6275 14809 74045 370225
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 370225 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.
370225 ÷ 25/100000 ÷ 25
  =  
14809/4000


Great Work! We've just determined that 3.70225 as a fraction equals 370225/100000 or 14809/4000 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 mixed numbers?

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

What is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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.

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.

Use Study.com for an entertaining video lesson approach.

For fun game based learning try Prodigy Math.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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