What is 0.74256 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.74256 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 0.74256 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.

0.74256 as a fraction equals 74256/100000 or 4641/6250

Now let's break down the steps for converting 0.74256 into a fraction.

Step 1:

First, we express 0.74256 as a fraction by placing it over 1:
0.74256/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.74256 x 100000/1 x 100000
  =  
74256/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 74256 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 74256 are: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1904 2184 2652 2856 3094 3536 4368 4641 5304 5712 6188 9282 10608 12376 18564 24752 37128 74256
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 74256 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.
74256 ÷ 16/100000 ÷ 16
  =  
4641/6250


Great Work! We've just determined that 0.74256 as a fraction equals 74256/100000 or 4641/6250 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.

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 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 repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

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.

Use Study.com for an entertaining video lesson approach.

Math Planet has customized math courses for high school students.

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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