What is 1.33988 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.33988 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 1.33988 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.

1.33988 as a fraction equals 133988/100000 or 33497/25000

Now let's break down the steps for converting 1.33988 into a fraction.

Step 1:

First, we express 1.33988 as a fraction by placing it over 1:
1.33988/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.33988 x 100000/1 x 100000
  =  
133988/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 133988 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 133988 are: 1 2 4 19 38 41 43 76 82 86 164 172 779 817 1558 1634 1763 3116 3268 3526 7052 33497 66994 133988
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 133988 and 100000 is: 4

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 4 in this case.
133988 ÷ 4/100000 ÷ 4
  =  
33497/25000


Great Work! We've just determined that 1.33988 as a fraction equals 133988/100000 or 33497/25000 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 prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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 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 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.

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

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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