What is 1.85 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.85 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 1.85 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.

1.85 as a fraction equals 185/100 or 37/20

Now let's break down the steps for converting 1.85 into a fraction.

Step 1:

First, we express 1.85 as a fraction by placing it over 1:
1.85/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.85 x 100/1 x 100
  =  
185/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 185 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 185 are: 1 5 37 185
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 185 and 100 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.
185 ÷ 5/100 ÷ 5
  =  
37/20


Great Work! We've just determined that 1.85 as a fraction equals 185/100 or 37/20 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 are imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

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 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 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 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.

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

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.



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