What is 0.965 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.965 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 0.965 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.

0.965 as a fraction equals 965/1000 or 193/200

Now let's break down the steps for converting 0.965 into a fraction.

Step 1:

First, we express 0.965 as a fraction by placing it over 1:
0.965/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.965 x 1000/1 x 1000
  =  
965/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 965 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 965 are: 1 5 193 965
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 965 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.
965 ÷ 5/1000 ÷ 5
  =  
193/200


Great Work! We've just determined that 0.965 as a fraction equals 965/1000 or 193/200 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 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 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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 early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.



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