What is 2.74688 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.74688 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 2.74688 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.

2.74688 as a fraction equals 274688/100000 or 8584/3125

Now let's break down the steps for converting 2.74688 into a fraction.

Step 1:

First, we express 2.74688 as a fraction by placing it over 1:

2.74688/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

2.74688 x 100000/1 x 100000

274688/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 274688 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 274688 are: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 256 296 464 592 928 1073 1184 1856 2146 2368 3712 4292 4736 7424 8584 9472 17168 34336 68672 137344 274688
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 274688 and 100000 is: 32

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 32 in this case.

274688 ÷ 32/100000 ÷ 32

8584/3125

Great Work! We've just determined that 2.74688 as a fraction equals 274688/100000 or 8584/3125 in its simplest form.

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Examples of converting decimals to fractions

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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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example ²/₃

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 is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

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

For fun game based learning try Prodigy Math.

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