What is 0.38 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.38 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 0.38 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.

0.38 as a fraction equals 38/100 or 19/50

Now let's break down the steps for converting 0.38 into a fraction.

Step 1:

First, we express 0.38 as a fraction by placing it over 1:
0.38/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.38 x 100/1 x 100
  =  
38/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 38 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 38 are: 1 2 19 38
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 38 and 100 is: 2

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 2 in this case.
38 ÷ 2/100 ÷ 2
  =  
19/50


Great Work! We've just determined that 0.38 as a fraction equals 38/100 or 19/50 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 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 rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

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 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 personalized 1-1 lessons check out Preply.com.

For fun game based learning try Prodigy Math.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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