What is 0.074 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.074 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 0.074 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.

0.074 as a fraction equals 74/1000 or 37/500

Now let's break down the steps for converting 0.074 into a fraction.

Step 1:

First, we express 0.074 as a fraction by placing it over 1:
0.074/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.074 x 1000/1 x 1000
  =  
74/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 74 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 74 are: 1 2 37 74
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 74 and 1000 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.
74 ÷ 2/1000 ÷ 2
  =  
37/500


Great Work! We've just determined that 0.074 as a fraction equals 74/1000 or 37/500 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

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 an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.


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 fun game based learning try Prodigy Math.

Math Planet has customized math courses for high school students.

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



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