What is 37.44 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 37.44 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 37.44 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.

37.44 as a fraction equals 3744/100 or 936/25

Now let's break down the steps for converting 37.44 into a fraction.

Step 1:

First, we express 37.44 as a fraction by placing it over 1:

37.44/1

Step 2:

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

37.44 x 100/1 x 100

3744/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 3744 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 3744 are: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 3744 and 100 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.

3744 ÷ 4/100 ÷ 4

936/25

Great Work! We've just determined that 37.44 as a fraction equals 3744/100 or 936/25 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 mixed numbers?

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

What are simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. ¹/₃ is a good example of a fully reduced 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 are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 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 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.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.