What is 0.37724 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.37724 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 0.37724 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.

0.37724 as a fraction equals 37724/100000 or 9431/25000

Now let's break down the steps for converting 0.37724 into a fraction.

Step 1:

First, we express 0.37724 as a fraction by placing it over 1:
0.37724/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.37724 x 100000/1 x 100000
  =  
37724/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 37724 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 37724 are: 1 2 4 9431 18862 37724
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 37724 and 100000 is: 4

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 4 in this case.
37724 ÷ 4/100000 ÷ 4
  =  
9431/25000


Great Work! We've just determined that 0.37724 as a fraction equals 37724/100000 or 9431/25000 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 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 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 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.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

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.

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

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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