What is 1.35456 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.35456 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 1.35456 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.

1.35456 as a fraction equals 135456/100000 or 4233/3125

Now let's break down the steps for converting 1.35456 into a fraction.

Step 1:

First, we express 1.35456 as a fraction by placing it over 1:
1.35456/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.35456 x 100000/1 x 100000
  =  
135456/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 135456 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 135456 are: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 332 408 498 544 664 816 996 1328 1411 1632 1992 2656 2822 3984 4233 5644 7968 8466 11288 16932 22576 33864 45152 67728 135456
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 135456 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.
135456 ÷ 32/100000 ÷ 32
  =  
4233/3125


Great Work! We've just determined that 1.35456 as a fraction equals 135456/100000 or 4233/3125 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 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 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 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.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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.

Math Planet has customized math courses for high school students.

For a self-study courses for Algebra. We recommend Purple Math.



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