What is 1.29584 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.29584 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 1.29584 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.

1.29584 as a fraction equals 129584/100000 or 8099/6250

Now let's break down the steps for converting 1.29584 into a fraction.

Step 1:

First, we express 1.29584 as a fraction by placing it over 1:
1.29584/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.29584 x 100000/1 x 100000
  =  
129584/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 129584 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 129584 are: 1 2 4 7 8 13 14 16 26 28 52 56 89 91 104 112 178 182 208 356 364 623 712 728 1157 1246 1424 1456 2314 2492 4628 4984 8099 9256 9968 16198 18512 32396 64792 129584
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 129584 and 100000 is: 16

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 16 in this case.
129584 ÷ 16/100000 ÷ 16
  =  
8099/6250


Great Work! We've just determined that 1.29584 as a fraction equals 129584/100000 or 8099/6250 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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

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.

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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

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

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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