What is 0.945 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.945 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 0.945 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.

0.945 as a fraction equals 945/1000 or 189/200

Now let's break down the steps for converting 0.945 into a fraction.

Step 1:

First, we express 0.945 as a fraction by placing it over 1:
0.945/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.945 x 1000/1 x 1000
  =  
945/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 945 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 945 are: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 945 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.
945 ÷ 5/1000 ÷ 5
  =  
189/200


Great Work! We've just determined that 0.945 as a fraction equals 945/1000 or 189/200 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 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 simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

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 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).

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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.

Use Study.com for an entertaining video lesson approach.

For a structured learning approach with video lessons try the Khan Academy.

For personalized 1-1 lessons check out Preply.com.



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