What is 1.37088 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.37088 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 1.37088 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.

1.37088 as a fraction equals 137088/100000 or 4284/3125

Now let's break down the steps for converting 1.37088 into a fraction.

Step 1:

First, we express 1.37088 as a fraction by placing it over 1:
1.37088/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.37088 x 100000/1 x 100000
  =  
137088/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 137088 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 137088 are: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 128 136 144 153 168 192 204 224 238 252 272 288 306 336 357 384 408 448 476 504 544 576 612 672 714 816 896 952 1008 1071 1088 1152 1224 1344 1428 1632 1904 2016 2142 2176 2448 2688 2856 3264 3808 4032 4284 4896 5712 6528 7616 8064 8568 9792 11424 15232 17136 19584 22848 34272 45696 68544 137088
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 137088 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.
137088 ÷ 32/100000 ÷ 32
  =  
4284/3125


Great Work! We've just determined that 1.37088 as a fraction equals 137088/100000 or 4284/3125 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 proper fractions?

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

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 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 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 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 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.

Desmos.com has a focus on equation, functions and visual graphs.

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.



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