What is 1.64 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.64 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 1.64 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.

1.64 as a fraction equals 164/100 or 41/25

Now let's break down the steps for converting 1.64 into a fraction.

Step 1:

First, we express 1.64 as a fraction by placing it over 1:
1.64/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.64 x 100/1 x 100
  =  
164/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 164 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 164 are: 1 2 4 41 82 164
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 164 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.
164 ÷ 4/100 ÷ 4
  =  
41/25


Great Work! We've just determined that 1.64 as a fraction equals 164/100 or 41/25 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 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 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 percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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.

Use Study.com for an entertaining video lesson approach.

Math Planet has customized math courses for high school students.



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