What is 1.70136 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.70136 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 1.70136 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.

1.70136 as a fraction equals 170136/100000 or 21267/12500

Now let's break down the steps for converting 1.70136 into a fraction.

Step 1:

First, we express 1.70136 as a fraction by placing it over 1:
1.70136/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.70136 x 100000/1 x 100000
  =  
170136/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 170136 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 170136 are: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 139 153 204 278 306 408 417 556 612 834 1112 1224 1251 1668 2363 2502 3336 4726 5004 7089 9452 10008 14178 18904 21267 28356 42534 56712 85068 170136
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 170136 and 100000 is: 8

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 8 in this case.
170136 ÷ 8/100000 ÷ 8
  =  
21267/12500


Great Work! We've just determined that 1.70136 as a fraction equals 170136/100000 or 21267/12500 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 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 are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

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 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.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

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



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