What is 1.68498 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.68498 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 1.68498 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.

1.68498 as a fraction equals 168498/100000 or 84249/50000

Now let's break down the steps for converting 1.68498 into a fraction.

Step 1:

First, we express 1.68498 as a fraction by placing it over 1:
1.68498/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.68498 x 100000/1 x 100000
  =  
168498/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 168498 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 168498 are: 1 2 3 6 9 11 18 22 23 33 37 46 66 69 74 99 111 138 198 207 222 253 333 407 414 506 666 759 814 851 1221 1518 1702 2277 2442 2553 3663 4554 5106 7326 7659 9361 15318 18722 28083 56166 84249 168498
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 168498 and 100000 is: 2

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 2 in this case.
168498 ÷ 2/100000 ÷ 2
  =  
84249/50000


Great Work! We've just determined that 1.68498 as a fraction equals 168498/100000 or 84249/50000 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 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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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 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.

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

Math Planet has customized math courses for high school students.

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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