What is 1.165 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.165 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 1.165 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.

1.165 as a fraction equals 1165/1000 or 233/200

Now let's break down the steps for converting 1.165 into a fraction.

Step 1:

First, we express 1.165 as a fraction by placing it over 1:
1.165/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.165 x 1000/1 x 1000
  =  
1165/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 1165 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 1165 are: 1 5 233 1165
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 1165 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.
1165 ÷ 5/1000 ÷ 5
  =  
233/200


Great Work! We've just determined that 1.165 as a fraction equals 1165/1000 or 233/200 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:



Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

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 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 terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

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 UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



© www.asafraction.net