What is 7.29825 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 7.29825 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 7.29825 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.

7.29825 as a fraction equals 729825/100000 or 29193/4000

Now let's break down the steps for converting 7.29825 into a fraction.

Step 1:

First, we express 7.29825 as a fraction by placing it over 1:
7.29825/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
7.29825 x 100000/1 x 100000
  =  
729825/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 729825 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 729825 are: 1 3 5 15 25 37 75 111 185 263 555 789 925 1315 2775 3945 6575 9731 19725 29193 48655 145965 243275 729825
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 729825 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.
729825 ÷ 25/100000 ÷ 25
  =  
29193/4000


Great Work! We've just determined that 7.29825 as a fraction equals 729825/100000 or 29193/4000 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 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 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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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 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.


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.

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

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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