What is 0.31 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.31 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 0.31 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.

0.31 as a fraction equals 31/100

Now let's break down the steps for converting 0.31 into a fraction.

Step 1:

First, we express 0.31 as a fraction by placing it over 1:
0.31/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.31 x 100/1 x 100
  =  
31/100


Great Work! We've just determined that 0.31 as a fraction equals 31/100 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 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 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 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 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 are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

Desmos.com has a focus on equation, functions and visual graphs.

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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