What is 0.905 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.905 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 0.905 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.

0.905 as a fraction equals 905/1000 or 181/200

Now let's break down the steps for converting 0.905 into a fraction.

Step 1:

First, we express 0.905 as a fraction by placing it over 1:

0.905/1

Step 2:

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

0.905 x 1000/1 x 1000

905/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 905 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 905 are: 1 5 181 905
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 905 and 1000 is: 5

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 5 in this case.

905 ÷ 5/1000 ÷ 5

181/200

Great Work! We've just determined that 0.905 as a fraction equals 905/1000 or 181/200 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 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 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 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 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 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.

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.

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.

Math Planet has customized math courses for high school students.

For a self-study courses for Algebra. We recommend Purple Math.